Ratio, Proportion, Indices, Logarithm

305 Practice MCQs available for CA Foundation

Paper

Paper 3: Quantitative Aptitude

Exam Weightage

5-7 Marks

Key Topics

Ratio, Proportion, Indices, Logarithms

This chapter covers Ratio, Proportion, Indices, Logarithms and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

Exam Strategy Tip

This topic carries 5-7 Marks weightage. Focus on understanding core concepts rather than memorizing.

Key Terms

Partnership Deed

A written agreement between partners detailing the terms and conditions of the partnership (profit sharing ratio, interest on capital, etc.).

All 305 Questions

788
3x−2:5x+6\displaystyle 3x-2:5x+6 the duplicate ratio of 2:3\displaystyle 2:3 then find the value x\displaystyle x.
MCQ
790
If the ratio of two numbers is 7:11\displaystyle 7:11. If 7\displaystyle 7 is added to each number then the new ratio will be 2:3\displaystyle 2:3 then the numbers are.
MCQ
789
If x:y=z:7=4:11\displaystyle x:y=z:7=4:11 then x+y+zz\displaystyle \frac{x+y+z}{z} is
MCQ
791
The ratio of two numbers are 3:4\displaystyle 3:4. The difference of their squares is 28\displaystyle 28 greater is:
MCQ
792
The price of scooter and moped are in the ratio 7:9\displaystyle 7:9. The price of moped is ₹1,600\displaystyle ₹1,600 more than that of scooter. Then the price of moped is:
MCQ
793
If A:B=3:7\displaystyle A:B=3:7, then 3a+2b:4a+5b=?\displaystyle 3a+2b:4a+5b=?
MCQ
795
In a certain business A and B received profit in certain ratio B and C received profits in the same ratio. If A gets ₹1600\displaystyle ₹1600 and C gets ₹2500\displaystyle ₹2500 then how much does B get?
MCQ
796
The ratio of two quantities is 15:17\displaystyle 15:17. If the consequent of its inverse ratio is 15\displaystyle 15, then the antecedent is:
MCQ
797
The salaries of A, B and C are in the ratio 2:3:5\displaystyle 2:3:5. If increments of 15%\displaystyle 15\%, 10%\displaystyle 10\% and 20%\displaystyle 20\% are allowed respectively to their salary, then what will be the new ratio of their salaries?
MCQ
798
If A:B=5:3\displaystyle A:B=5:3, B:C=6:7\displaystyle B:C=6:7 and C:D=14:9\displaystyle C:D=14:9 then the value of A:B:C:D\displaystyle A:B:C:D is:
MCQ
800
Incomes of R and S are in the ratio 7:9\displaystyle 7:9 and their expenditures are in the ratio 4:5\displaystyle 4:5. Their total expenditure is equal to income of R. What is the ratio of their savings?
MCQ
801
A bag contains 105\displaystyle 105 coins containing some 50\displaystyle 50 paise, and 25\displaystyle 25 paise coins. The ratio of the number of these coins is 4:3\displaystyle 4:3. The total value (in ₹\displaystyle ₹) in the bag is
MCQ
802
In a department, the number of males and females are in the ratio 3:2\displaystyle 3:2. If 2\displaystyle 2 males and 5\displaystyle 5 females join the department, then the ratio becomes 2:1\displaystyle 2:1. Initially, the number of females in the department is
MCQ
803
A box contains 25\displaystyle 25 paise coins and 10\displaystyle 10 paise coins and 5\displaystyle 5 paise coins in ratios 3:2:1\displaystyle 3:2:1 and total money is ₹40\displaystyle ₹40. How many 5\displaystyle 5 paise coins are there?
MCQ
806
The mean proportional between 24\displaystyle 24 and 54\displaystyle 54 is:
MCQ
807
If a:b=9:4\displaystyle a:b=9:4, then ab+ba=?\displaystyle \sqrt{\frac{a}{b}} + \sqrt{\frac{b}{a}}=?
MCQ
808
A fraction becomes 1\displaystyle 1 when 3\displaystyle 3 is added to the numerator and 1\displaystyle 1 is added to the denominator, but when the numerator and denominator are decreased by 2\displaystyle 2 and 1\displaystyle 1 respectively, it becomes 1/2\displaystyle 1/2. The denominator of the fraction is:
MCQ
809
If the four number 1/4,1/6,1/10, and 1/x\displaystyle 1/4, 1/6, 1/10, \text{ and } 1/x are proportional, then what is the value of x\displaystyle x?
MCQ
810
The ratio of income of A and B is 5:4\displaystyle 5:4 and their expenditure is 3:2\displaystyle 3:2. If at the end of the year each saves ₹1,600\displaystyle ₹1,600, then the income of A is:
MCQ
811
The mean proportional between 12x2\displaystyle 12x^2 and 27y2\displaystyle 27y^2 is:
MCQ
813
For p,q,r,s>0\displaystyle p, q, r, s > 0 the value of each ratio is p−qq+r=r−ss+p=p+qq+r\displaystyle \frac{p-q}{q+r} = \frac{r-s}{s+p} = \frac{p+q}{q+r}
MCQ
814
Let x,y\displaystyle x, y and z\displaystyle z are three positive numbers and P=x+y+z2\displaystyle P = \frac{x+y+z}{2}; (p−x):(p−y):(p−z)=3:5:7\displaystyle (p-x):(p-y):(p-z) = 3:5:7 then the ratio of xyz\displaystyle xyz is
MCQ
815
The ratio compounded of 2:3,9:4,5:6\displaystyle 2:3, 9:4, 5:6 and 8:10\displaystyle 8:10 is
MCQ
816
The sub-triplicate ratio of 8:27\displaystyle 8:27
MCQ
817
If x:y:z=2:3:5\displaystyle x:y:z = 2:3:5 if x+y+z=60\displaystyle x+y+z = 60, then the value of z\displaystyle z
MCQ
818
The ratio of two numbers is 15:19\displaystyle 15:19. If a certain number is added to each term of the ratio it become 8:9\displaystyle 8:9. What is the number added to each of the ratio?
MCQ
819
The ratio of the earnings of two persons 3:2\displaystyle 3:2. If each saves 1/5th\displaystyle 1/5^{th} of their earning, the ratio of their saving
MCQ
820
If x+y,y+z,z+x\displaystyle x+y, y+z, z+x are in the ratio 6:7:8\displaystyle 6:7:8 and x+y+z=14\displaystyle x+y+z = 14 then the value of x\displaystyle x is.
MCQ
822
If a:b=3:4\displaystyle a:b = 3:4, the value of (2a+3b):(3a+4b)\displaystyle (2a+3b):(3a+4b) is
MCQ
823
If x:y=2:3\displaystyle x:y = 2:3, then find (5x−2y):(3x−y)\displaystyle (5x-2y):(3x-y)
MCQ
824
A bag contains Rs.187\displaystyle \text{Rs.} 187 in the form 1\displaystyle 1 rupee, 50\displaystyle 50 paise and 10\displaystyle 10 paise coins in the ratio 3:4:5\displaystyle 3:4:5. Find the number of each type of coins.
MCQ
825
The ratio of the speed of the two trains is 2:5\displaystyle 2:5. If the distances they travel are in the ratio 5:9\displaystyle 5:9, find the ratio of times taken by them.
MCQ
826
Two nos. are in the ratio 7:8\displaystyle 7:8. If 3\displaystyle 3 is added to each of them, ratio becomes 8:9\displaystyle 8:9, the no. are
MCQ
827
The ratio of the number of boys and girls in a school is 2:5\displaystyle 2:5. If there are 280\displaystyle 280 students in the school, find number of girls in the school
MCQ
828
If pq=23\displaystyle \frac{p}{q} = \frac{2}{3}, then the value of 2p−q2p+q\displaystyle \frac{2p-q}{2p+q} is:
MCQ
830
The salary of P\displaystyle P is 25%\displaystyle 25\% lower than that of Q\displaystyle Q and the salary of R\displaystyle R is 20%\displaystyle 20\% higher than Q\displaystyle Q, the ratio of salary of R\displaystyle R and P\displaystyle P will be:
MCQ
831
If x:y=3:5\displaystyle x:y = 3:5, then find (1+1x):(1+1y)\displaystyle \left(1+\frac{1}{x}\right):\left(1+\frac{1}{y}\right)
MCQ
832
If A:B=3:4\displaystyle A:B = 3:4 and B:C=7:9\displaystyle B:C = 7:9, C:D=2:3\displaystyle C:D = 2:3 and D\displaystyle D is 50%\displaystyle 50\% more than E\displaystyle E, find the ratio between A\displaystyle A and E\displaystyle E
MCQ
833
If A:B=2:5\displaystyle A:B = 2:5, then (10A+3B):(5A+2B)\displaystyle (10A+3B):(5A+2B) is equal to
MCQ
834
The ratio compounded of 4:5\displaystyle 4:5 and sub-duplicate of A:9\displaystyle A:9 is 8:15\displaystyle 8:15. Then value of "A\displaystyle A" is
MCQ
835
If 3x−25x−6\displaystyle \frac{3x-2}{5x-6} is the duplicate ratio of 2/3\displaystyle 2/3 then the value of 'x\displaystyle x' is
MCQ
836
If x:y=2:3\displaystyle x:y = 2:3, then (5x+2y):(3x−y)=\displaystyle (5x+2y):(3x-y) =
MCQ
838
X,Y,Z\displaystyle X, Y, Z together starts a business, if X\displaystyle X invests 3\displaystyle 3 times as much as Y\displaystyle Y invests and Y\displaystyle Y invests two third of what Z\displaystyle Z invests, then the ratio of capitals of X,Y,Z\displaystyle X, Y, Z is
MCQ
839
A bag contains 25\displaystyle 25 paise, 10\displaystyle 10 paise, and 5\displaystyle 5 paise in a ratio of 3:2:1\displaystyle 3:2:1. The total value of Rs.40\displaystyle \text{Rs.} 40, the number of 5\displaystyle 5 paise coins is
MCQ
841
The difference of two numbers are 3\displaystyle 3. 4\displaystyle 4. The difference of their squares is 28\displaystyle 28. Greater number is:
MCQ
843
Four persons A,B,C,D\displaystyle A, B, C, D wish to share a sum in the ratio of 5:2:4:3\displaystyle 5:2:4:3. If D\displaystyle D gets Rs.1000\displaystyle \text{Rs.} 1000 less than C\displaystyle C, then the share of B\displaystyle B?
MCQ
844
The monthly incomes of A\displaystyle A & B\displaystyle B are in the ratio 4:5\displaystyle 4:5 are their monthly expenditures are in the ratio 5:7\displaystyle 5:7. If each saves Rs.150\displaystyle \text{Rs.} 150 per month, find their monthly incomes.
MCQ
845
Two vessels containing water and milk in the ratio 2:3\displaystyle 2:3 and 4:5\displaystyle 4:5 are mixed in the ratio 1:2\displaystyle 1:2. The ratio of milk and water in the resulting mixture is:
MCQ
846
If (x−9):(3x+6)\displaystyle (x-9):(3x+6) is the duplicate ratio of 4:9\displaystyle 4:9, find the value of x\displaystyle x.
MCQ
847
The third proportional between (a2−b2)\displaystyle (a^2-b^2) and (a+b)2\displaystyle (a+b)^2 is:
MCQ
848
If pq=rs=p−rq−s\displaystyle \frac{p}{q} = \frac{r}{s} = \frac{p-r}{q-s}, the process is called
MCQ
852
The third proportional to 9\displaystyle 9 and 25\displaystyle 25
MCQ
853
If A:B=5:3\displaystyle A:B=5:3, B:C=6:7\displaystyle B:C=6:7 and C:D=14:9\displaystyle C:D=14:9 then the value of A:B:C:D\displaystyle A:B:C:D
MCQ
854
If pq=23\displaystyle \frac{p}{q} = \frac{2}{3} then the value of 2p−q2p+q\displaystyle \frac{2p-q}{2p+q}
MCQ
849
If ab=cd=2a+3b+2c4a−b+2c\displaystyle \frac{a}{b} = \frac{c}{d} = \frac{2a+3b+2c}{4a-b+2c}, then ab\displaystyle \frac{a}{b} is
MCQ
851
Which of the numbers are not in proportions?
MCQ
856
Four persons A,B,C,D\displaystyle A, B, C, D wish to share a sum in the ratio of 5:2:4:3\displaystyle 5:2:4:3. If D\displaystyle D gets ₹1000\displaystyle ₹1000 less than C\displaystyle C, then the share of B\displaystyle B?
MCQ
857
The mean proportional between 12x2\displaystyle 12x^2 and 27y2\displaystyle 27y^2
MCQ
858
The monthly income of A\displaystyle A & B\displaystyle B are in the ratio 4:5\displaystyle 4:5 are their monthly expenditures are in the ratio 5:7\displaystyle 5:7. If each saves ₹150\displaystyle ₹150 per month, find their monthly incomes.
MCQ
859
Two vessels containing water and milk in the ratio 2:3\displaystyle 2:3 and 4:5\displaystyle 4:5 are mixed in the ratio 1:2\displaystyle 1:2. The ratio of milk and water in the resulting mixture.
MCQ
860
What is the value of p+qp−q\displaystyle \frac{p+q}{p-q} if pq=73\displaystyle \frac{p}{q} = \frac{7}{3}?
MCQ
861
If x/2=y/3=z/7\displaystyle x/2 = y/3 = z/7, then the value of (2x−5y+4z)/2y\displaystyle (2x-5y+4z)/2y is
MCQ
862
If four numbers 1,12,13,15\displaystyle 1, \frac{1}{2}, \frac{1}{3}, \frac{1}{5} are proportional then x=\displaystyle x=
MCQ
863
A box contains 276\displaystyle 276 coins of 5\displaystyle 5 rupees, 2\displaystyle 2 rupees and 1\displaystyle 1 rupee. The value of each kind of coins are in the ratio 2:3:5\displaystyle 2:3:5 respectively. The number of 2\displaystyle 2 rupees coin is
MCQ
864
What must be added to each term of the ratio 49:68\displaystyle 49:68, so that it becomes 3:4\displaystyle 3:4?
MCQ
865
The students in three classes are in the ratio 2:3:5\displaystyle 2:3:5. If 40\displaystyle 40 students are increased in each class the ratio changes to 4:5:7\displaystyle 4:5:7. Originally the total number of students was
MCQ
866
A bag contains coins of denominations 1\displaystyle 1 rupee, 2\displaystyle 2 rupee and 5\displaystyle 5 rupees. Their numbers are in the ratio 4:3:2\displaystyle 4:3:2. If bag has total of Rs. 1800\displaystyle 1800 then find the number of 2\displaystyle 2 rupee coins.
MCQ
867
The expenditures and savings of a person are in the ratio 4:1\displaystyle 4:1. If his savings are increased by 25%\displaystyle 25\% of his income, then what is the new ratio of his expenditure and savings ?
MCQ
868
P,Q\displaystyle P, Q and R\displaystyle R three cities. The ratio of average temperature P\displaystyle P and Q\displaystyle Q is 11:12\displaystyle 11:12 and that between P\displaystyle P and R\displaystyle R is 9:8\displaystyle 9:8. The ratio between the average temperature Q\displaystyle Q and R\displaystyle R.
MCQ
869
If 1/2,1/3,1/5\displaystyle 1/2, 1/3, 1/5 and 1/x\displaystyle 1/x are in proportion, then the value of x\displaystyle x will be
MCQ
870
If four no. 1,12,13,15\displaystyle 1, \frac{1}{2}, \frac{1}{3}, \frac{1}{5} are proportional then x=\displaystyle x=
MCQ
871
The ratio of number of boys and number of girls in a school is found to be 15:32\displaystyle 15:32. How many boys and equal number of girls should be added to bring the ratio to 2/3\displaystyle 2/3?
MCQ
872
A bag contains 23\displaystyle 23 number of coins in the form of 1\displaystyle 1 rupee, 2\displaystyle 2 rupee and 5\displaystyle 5 rupee coins. The total sum of the coins is ₹43\displaystyle ₹43. The ratio between 1\displaystyle 1 rupee and 2\displaystyle 2 rupees coins is 3:2\displaystyle 3:2. Then the number of 1\displaystyle 1 rupee coins.
MCQ
873
Value of 2n+2n−12n+1−2n\displaystyle \frac{2^n + 2^{n-1}}{2^{n+1} - 2^n}
MCQ
876
If P=x1/3+x−1/3\displaystyle P = x^{1/3} + x^{-1/3} then P3−3P=\displaystyle P^3 - 3P =
MCQ
878
If X=3+13\displaystyle X = \sqrt{3} + \frac{1}{\sqrt{3}} then (X−12642)(X−123)=?\displaystyle \left(X - \frac{\sqrt{126}}{\sqrt{42}}\right) \left(X - \frac{1}{2\sqrt{3}}\right) =?
MCQ
879
Find the value of a\displaystyle a from the following: (9)−5×(3)−7=(3)−a\displaystyle \sqrt{(9)^{-5} \times \sqrt{(3)^{-7}}} = \sqrt{(3)^{-a}}
MCQ
881
If xy+yz+zx=−1\displaystyle xy + yz + zx = -1 then the value of (x+y1+xy+z+y1+zy+x+z1+zx)\displaystyle \left(\frac{x+y}{1+xy} + \frac{z+y}{1+zy} + \frac{x+z}{1+zx}\right) is:
MCQ
882
Let a=5+35−3\displaystyle a = \frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}} and b=5−35+3\displaystyle b = \frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}. What is the value of a2+b2\displaystyle a^2+b^2?
MCQ
884
If (3a2b)2x−4=(2b3a)2x−4\displaystyle \left(\frac{3a}{2b}\right)^{2x-4} = \left(\frac{2b}{3a}\right)^{2x-4}, for some a\displaystyle a and b\displaystyle b, then the value of x\displaystyle x is
MCQ
885
The value of (1−0.0273(56)(12)2)\displaystyle \left(1-\sqrt[3]{0.027}\left(\frac{5}{6}\right)\left(\frac{1}{2}\right)^2\right) is
MCQ
886
If (3)18=(9)x\displaystyle (\sqrt{3})^{18} = (\sqrt{9})^x, find x\displaystyle x?
MCQ
887
By simplifying (2a3b4)6/[(4a3b)2×(a2b2)]\displaystyle (2a^3b^4)^6 / [(4a^3b)^2 \times (a^2b^2)], the answer will be:
MCQ
889
If x=ya,y=zb,z=xc\displaystyle x=y^a, y=z^b, z=x^c, then the value of abc\displaystyle abc is
MCQ
891
If 9n×35×(27)53×(81)4=27\displaystyle \frac{9^n \times 3^5 \times (27)^5}{3 \times (81)^4} = 27, then the value of n\displaystyle n is
MCQ
892
Given x=5+35−3\displaystyle x = \frac{\sqrt{5}+\sqrt{3}}{\sqrt{5}-\sqrt{3}} and y=5−35+3\displaystyle y = \frac{\sqrt{5}-\sqrt{3}}{\sqrt{5}+\sqrt{3}}. Then find the value of 1x2+1y2\displaystyle \frac{1}{x^2} + \frac{1}{y^2}.
MCQ
895
If x=6+6+6+...\displaystyle x = \sqrt{6 + \sqrt{6 + \sqrt{6 + ...}}} then the value of x\displaystyle x is
MCQ
896
The value of (xaxb)a+b×(xbxc)b+c×(xcxa)c+a\displaystyle \left( \frac{x^{a}}{x^{b}} \right)^{a+b} \times \left( \frac{x^{b}}{x^{c}} \right)^{b+c} \times \left( \frac{x^{c}}{x^{a}} \right)^{c+a} is
MCQ
897
Simplify 2n+1+2n−12n+1−2n−1\displaystyle \frac{2^{n+1} + 2^{n-1}}{2^{n+1} - 2^{n-1}}
MCQ
898
If 2x=3y=12z\displaystyle 2^x = 3^y = 12^z then 1x+1y=\displaystyle \frac{1}{x} + \frac{1}{y} =
MCQ
899
If 2x=3y=6−z\displaystyle 2^x = 3^y = 6^{-z} then 1x+1y+1z=\displaystyle \frac{1}{x} + \frac{1}{y} + \frac{1}{z} =
MCQ
900
516+1255\displaystyle 5^{16} + 125^5 is divisible by which of the following
MCQ
901
If pqr=ax\displaystyle pqr = a^x, qrs=ay\displaystyle qrs = a^y and rsp=az\displaystyle rsp = a^z, then find the value of (pqrs)1/2\displaystyle (pqrs)^{1/2}
MCQ
902
Find the value of (x+y)−1(x−1+y−1)−1+x−1(x−1+y−1)−1+y−1(x−1+y−1)−1=13\displaystyle (x+y)^{-1} \left( x^{-1} + y^{-1} \right)^{-1} + x^{-1} \left( x^{-1} + y^{-1} \right)^{-1} + y^{-1} \left( x^{-1} + y^{-1} \right)^{-1} = \frac{1}{3}
MCQ
903
The Value of 2n+2−2n+12n+1−2n\displaystyle \frac{2^{n+2} - 2^{n+1}}{2^{n+1} - 2^n} is
MCQ
904
If 3x=5y=75z\displaystyle 3^x = 5^y = 75^z then x+y−z=0\displaystyle x+y-z = 0
MCQ
905
If (25)150=(25x)50\displaystyle (25)^{150} = (25x)^{50}; then the value of x\displaystyle x will be:
MCQ
906
(39)5/2(933)7/2×9\displaystyle \left( \frac{\sqrt{3}}{9} \right)^{5/2} \left( \frac{9}{3\sqrt{3}} \right)^{7/2} \times 9 is equal to
MCQ
907
Find the value of 6561+6561+6561\displaystyle \sqrt{6561} + \sqrt{6561} + \sqrt{6561}
MCQ
908
If 8x×216=164×44\displaystyle 8^x \times 2^{16} = 16^4 \times 4^4, then the value of n\displaystyle n
MCQ
909
If P=x1/3+x−1/3\displaystyle P = x^{1/3} + x^{-1/3} then find value of 3P3−9P\displaystyle 3P^3 - 9P
MCQ
910
The value of (3n+1+3n−1)(3n+3−3n+1)\displaystyle \frac{(3^{n+1} + 3^{n-1})}{(3^{n+3} - 3^{n+1})} is equal to
MCQ
911
The value of x2(y−z)2(x+y)2−y2×y2(x−z)2(y+z)2−z2×z2(x−y)2(x+z)2−x2\displaystyle \frac{x^2(y-z)^2}{ (x+y)^2 - y^2 } \times \frac{y^2(x-z)^2}{ (y+z)^2 - z^2 } \times \frac{z^2(x-y)^2}{ (x+z)^2 - x^2 } is
MCQ
912
If abc=2\displaystyle abc = 2 then the value of 11+a+2b−1+11+b+c−1+11+c+a−1\displaystyle \frac{1}{1+a+2b^{-1}} + \frac{1}{1+b+c^{-1}} + \frac{1}{1+c+a^{-1}} is
MCQ
913
If (25)150=(25x)50\displaystyle (25)^{150} = (25x)^{50}, then the value of x\displaystyle x will be:
MCQ
914
The value of (xa+bxc)a−b×(xb+cxa)b−c×(xc+axb)c−a\displaystyle \left( \frac{x^{a+b}}{x^c} \right)^{a-b} \times \left( \frac{x^{b+c}}{x^a} \right)^{b-c} \times \left( \frac{x^{c+a}}{x^b} \right)^{c-a} is equal to
MCQ
915
Find The value of 3t−1\displaystyle 3t^{-1}
MCQ
916
If 2x×3y×5z=720\displaystyle 2^x \times 3^y \times 5^z = 720 then the value of x,y,z\displaystyle x, y, z is
MCQ
917
Value of 91/3×33/4×3−1/291/4×3−1/3×32/3\displaystyle \frac{9^{1/3} \times 3^{3/4} \times 3^{-1/2}}{9^{1/4} \times 3^{-1/3} \times 3^{2/3}}
MCQ
918
The value of 64(b4/a3)4(a3/b4)×(ab)3\displaystyle \frac{64(b^4/a^3)}{4(a^3/b^4) \times (ab)^3}
MCQ
919
Value of (a1/8+a−1/8)(a1/8−a−1/8)(a1/4+a−1/4)(a1/2+a−1/2)\displaystyle \left( a^{1/8} + a^{-1/8} \right) \left( a^{1/8} - a^{-1/8} \right) \left( a^{1/4} + a^{-1/4} \right) \left( a^{1/2} + a^{-1/2} \right) is:
MCQ
920
If (25)150=(25x)50\displaystyle (25)^{150} = (25x)^{50} then the value of x\displaystyle x will be
MCQ
921
If x:y=3:4\displaystyle x:y = 3:4, the value of x2y+xy2:x3+y3\displaystyle x^2y + xy^2 : x^3 + y^3 is
MCQ
922
If ax=by=cz=dw\displaystyle a^x = b^y = c^z = d^w, then xyz\displaystyle xyz is
MCQ
923
If x=2+3\displaystyle x = 2 + \sqrt{3} and y=2−3\displaystyle y = 2 - \sqrt{3} then value of x2+y2=\displaystyle x^2 + y^2 =
MCQ
924
If p=x1/3+x−1/3\displaystyle p = x^{1/3} + x^{-1/3}, then find value of 3p3−9p\displaystyle 3p^3 - 9p
MCQ
925
On Simplification 11+za−b+za−c+11+zb−c+zb−a+11+zc−a+zc−b\displaystyle \frac{1}{1+z^{a-b}+z^{a-c}} + \frac{1}{1+z^{b-c}+z^{b-a}} + \frac{1}{1+z^{c-a}+z^{c-b}} would reduces to
MCQ
926
(18)3.5÷(27)3.5×63.5=2x\displaystyle (18)^{3.5} \div (27)^{3.5} \times 6^{3.5} = 2^x, then the value of x\displaystyle x is:
MCQ
927
The value of (243)0.13×(243)0.07(7)0.25×(49)0.075×(343)0.2\displaystyle \frac{(243)^{0.13} \times (243)^{0.07}}{(7)^{0.25} \times (49)^{0.075} \times (343)^{0.2}} is:
MCQ
928
The number of prime factors in 620×358×(15)10\displaystyle 6^{20} \times 35^8 \times (15)^{10} is:
MCQ
929
The value of the expression : alog⁡bt⋅blog⁡ca⋅clog⁡ab\displaystyle a^{\log_b t} \cdot b^{\log_c a} \cdot c^{\log_a b} is
MCQ
930
The value of log⁡49⋅log⁡32\displaystyle \log_4 9 \cdot \log_3 2 is
MCQ
931
log⁡xlog⁡xlog⁡x16=?\displaystyle \log_x \log_x \log_x 16 = ?
MCQ
932
The value of log⁡5(1+15)+log⁡5(1+16)+⋯+log⁡5(1+1624)\displaystyle \log_5 \left(1 + \frac{1}{5}\right) + \log_5 \left(1 + \frac{1}{6}\right) + \dots + \log_5 \left(1 + \frac{1}{624}\right)
MCQ
933
log⁡3(512):log⁡3324=\displaystyle \log_{\sqrt{3}} (512) : \log_{\sqrt{3}} 324 =
MCQ
934
log⁡100.0001=?\displaystyle \log_{10} 0.0001 = ?
MCQ
935
If log⁡x3=16\displaystyle \log_x \sqrt{3} = \frac{1}{6} find the value of a\displaystyle a:
MCQ
936
log⁡9+log⁡5\displaystyle \log 9 + \log 5 is expressed as:
MCQ
937
If log⁡(ab)=x\displaystyle \log (ab) = x, then log⁡(ab)\displaystyle \log (\frac{a}{b}) is
MCQ
938
If log⁡x+log⁡16+log⁡x+log⁡256=256\displaystyle \log x + \log 16 + \log x + \log 256 = \frac{25}{6} then the value of x\displaystyle x is
MCQ
939
If log⁡103=x\displaystyle \log_{10} 3 = x and log⁡104=y\displaystyle \log_{10} 4 = y, then the value of log⁡10120\displaystyle \log_{10} 120 can be expressed as
MCQ
940
Find the value of log⁡(x2)\displaystyle \log (x^2), if log⁡(x)+2log⁡(x2)+3log⁡(x3)=14\displaystyle \log (x) + 2\log (x^2) + 3\log (x^3) = 14
MCQ
941
log⁡p2qr+log⁡q2pr+log⁡r2pq\displaystyle \log \frac{p^2}{qr} + \log \frac{q^2}{pr} + \log \frac{r^2}{pq} is:
MCQ
942
log⁡3=6−1\displaystyle \log \sqrt{3} = 6^{-1} base a\displaystyle a, then 'a\displaystyle a' will be:
MCQ
943
log⁡x64=4\displaystyle \log_x 64 = 4 is equal to:
MCQ
944
If log⁡102=y\displaystyle \log_{10} 2 = y and log⁡103=x\displaystyle \log_{10} 3 = x, then the value of log⁡1015\displaystyle \log_{10} 15 is:
MCQ
945
log⁡2x3−log⁡2x2−log⁡2x0\displaystyle \log^2 x^3 - \log^2 x^2 - \log^2 x^0 equal to:
MCQ
946
The value of [log⁡10(5log⁡10100)]2\displaystyle [\log_{10} (5 \log_{10} 100)]^2 is:
MCQ
947
Given that log⁡xm=n−1\displaystyle \log_x m = n - 1 and log⁡10y=m−n\displaystyle \log_{10} y = m - n, the value of log⁡10(100x/y2)\displaystyle \log_{10} (100x / y^2) is expressed in terms of m\displaystyle m and n\displaystyle n as
MCQ
948
If log⁡ah=3\displaystyle \log_a h = 3 and log⁡ce=2\displaystyle \log_c e = 2, then log⁡ch\displaystyle \log_c h is:
MCQ
949
log⁡3log⁡3log⁡3256+2log⁡32\displaystyle \log_3 \log_3 \log_3 256 + 2\log_3 2 is equal to:
MCQ
950
The value of log⁡0.10.001\displaystyle \log_{0.1} 0.001
MCQ
951
If log⁡x4=−32\displaystyle \log_x 4 = -\frac{3}{2} then x\displaystyle x is
MCQ
952
If log⁡xlog⁡x(x+x+x)=0\displaystyle \log_x \log_{\sqrt{x}} (\sqrt{x} + \sqrt{x} + \sqrt{x}) = 0 the value of x\displaystyle x is
MCQ
953
If a=log⁡2412\displaystyle a = \log_{24} 12, b=log⁡3624\displaystyle b = \log_{36} 24, log⁡4836\displaystyle \log_{48} 36 then prove that 1+abc=\displaystyle 1 + abc =
MCQ
954
The value of log⁡64512\displaystyle \log_{64} 512 is
MCQ
955
The value of (log⁡ba⋅log⁡cb⋅log⁡ac)3=\displaystyle (\log_b a \cdot \log_c b \cdot \log_a c)^3 =
MCQ
956
If log⁡xs+log⁡xx=32\displaystyle \log_x s + \log_x x = \frac{3}{2} then x\displaystyle x is.
MCQ
957
Given that log⁡x2=x\displaystyle \log_x 2 = x and log⁡x3=y\displaystyle \log_x 3 = y, the value of log⁡x60\displaystyle \log_x 60 is expressed as
MCQ
958
log⁡xx+log⁡(1+x)=0\displaystyle \log_x x + \log(1 + x) = 0 is equivalent to
MCQ
959
If x2+y2=7xy\displaystyle x^2 + y^2 = 7xy, then log⁡13(x+y)\displaystyle \log \frac{1}{3} (x + y) then x\displaystyle x is
MCQ
960
The Value log⁡b8log⁡1610⋅log⁡410\displaystyle \frac{\log_b 8}{\log_{16} 10 \cdot \log_4 10} is
MCQ
961
If log⁡105+log⁡10(5x+1)=log⁡10(x+5)+1\displaystyle \log_{10} 5 + \log_{10} (5x + 1) = \log_{10} (x + 5) + 1, then x\displaystyle x is equal to
MCQ
962
Find the value of log⁡yxn+log⁡xyn+log⁡nnx\displaystyle \log_y x^n + \log_x y^n + \log_n n^x
MCQ
963
Find the value of log⁡10[25−log⁡10(2)3+log⁡10(4)3]\displaystyle \log_{10} \left[ 25 - \log_{10} (2)^3 + \log_{10} (4)^3 \right]
MCQ
964
If x=log⁡2412\displaystyle x = \log_{24} 12, y=log⁡3624\displaystyle y = \log_{36} 24, z=log⁡4836\displaystyle z = \log_{48} 36, then xyz+1=\displaystyle xyz + 1 =
MCQ
965
log⁡a3−16\displaystyle \log_a \sqrt{3} - \frac{1}{6} find the value of a\displaystyle a
MCQ
966
p2−q2pr−qr+log⁡r2pq=\displaystyle \frac{p^2 - q^2}{pr - qr} + \log \frac{r^2}{pq} =
MCQ
967
log⁡0.00110000=?\displaystyle \log_{0.001} 10000 = ?
MCQ
968
If log⁡34⋅log⁡45⋅log⁡56⋅log⁡67⋅log⁡78⋅log⁡89=x\displaystyle \log_3 4 \cdot \log_4 5 \cdot \log_5 6 \cdot \log_6 7 \cdot \log_7 8 \cdot \log_8 9 = x, then find the value of x\displaystyle x
MCQ
969
If 12log⁡104=y\displaystyle \frac{1}{2} \log_{10} 4 = y and if 12log⁡109=x\displaystyle \frac{1}{2} \log_{10} 9 = x, then the value of log⁡1015\displaystyle \log_{10} 15
MCQ
970
7log⁡1615+5log⁡2524+3log⁡8180\displaystyle 7 \log \frac{16}{15} + 5 \log \frac{25}{24} + 3 \log \frac{81}{80} is equal
MCQ
971
If log⁡x(x2+x)−log⁡x(x+1)=2\displaystyle \log_x (x^2 + x) - \log_x (x + 1) = 2 find x\displaystyle x
MCQ
972
Given log⁡2=0.3010\displaystyle \log 2 = 0.3010 and log⁡3=0.4771\displaystyle \log 3 = 0.4771 then the value of log⁡24\displaystyle \log 24
MCQ
973
Given that log⁡102=x\displaystyle \log_{10} 2 = x and log⁡103=y\displaystyle \log_{10} 3 = y the value of log⁡10120\displaystyle \log_{10} 120 is expressed as
MCQ
974
The simplified value of 2log⁡105+log⁡108−12log⁡104\displaystyle 2 \log_{10} 5 + \log_{10} 8 - \frac{1}{2} \log_{10} 4 is
MCQ
975
If log⁡(a+b4)=12(log⁡a+log⁡b)\displaystyle \log \left( \frac{a + b}{4} \right) = \frac{1}{2} (\log a + \log b) then
MCQ
976
On solving the equation log⁡x(1+log⁡x(1−x))=1\displaystyle \log_x (1 + \log_x (1 - x)) = 1 we get the value of x\displaystyle x as
MCQ
977
If log⁡2=0.3010\displaystyle \log 2 = 0.3010 and log⁡3=0.4771\displaystyle \log 3 = 0.4771, then the value of log⁡24\displaystyle \log 24 is:
MCQ
978
If log⁡(x2+x)−log⁡x(x+1)=2\displaystyle \log (x^2 + x) - \log_x (x + 1) = 2 then the value of x\displaystyle x is
MCQ
979
If a−b=12(log⁡a+log⁡b)\displaystyle a - b = \frac{1}{2} (\log a + \log b), the value of a2+b2\displaystyle a^2 + b^2 is
MCQ
980
If log⁡4x=−3/2\displaystyle \log_4 x = -3/2 Then x\displaystyle x is
MCQ
981
Given that log⁡102=x\displaystyle \log_{10} 2 = x and log⁡103=y\displaystyle \log_{10} 3 = y, the value of log⁡10120\displaystyle \log_{10} 120 is expressed as
MCQ
982
log⁡a2bc+log⁡b2ca+log⁡c2ab=\displaystyle \log \frac{a^2}{bc} + \log \frac{b^2}{ca} + \log \frac{c^2}{ab} =
MCQ
983
11+log⁡xyz+11+log⁡yzx+11+log⁡zxy=\displaystyle \frac{1}{1 + \log_x yz} + \frac{1}{1 + \log_y zx} + \frac{1}{1 + \log_z xy} =
MCQ
984
If n=m!\displaystyle n = m! where (′m′\displaystyle 'm' is a positive integer >2\displaystyle > 2) then the value of: 1log⁡2n+1log⁡3n+1log⁡4n+⋯+1log⁡mn\displaystyle \frac{1}{\log_2 n} + \frac{1}{\log_3 n} + \frac{1}{\log_4 n} + \dots + \frac{1}{\log_m n}
MCQ
787
If p:q\displaystyle p:q is the sub-duplicate ratio of p−x2:q−x2\displaystyle p-x^2:q-x^2, then x2\displaystyle x^2 is
MCQ
794
The ratio of number of boys and the number of girls in a school is found to be 15:32\displaystyle 15:32. How many boys and equal number of girls should be added to bring the ratio to 1:2\displaystyle 1:2?
MCQ
799
A vessel contained a solution of acid and water in which water was 64%\displaystyle 64\%. Four liters of the solution were taken out of the vessel and the same quantity of water was added. If the resulting solution contains 30%\displaystyle 30\% acid, the quantity (in liters) of the solution, in the beginning in the vessel, was
MCQ
842
The price of scooter and moped are in the ratio 7:9\displaystyle 7:9. The price of moped is Rs.1600\displaystyle \text{Rs.} 1600 more than that of scooter. Then the price of moped is:
MCQ
804
If x:y=4:6\displaystyle x:y=4:6 and z:x=4:16\displaystyle z:x=4:16 find Y\displaystyle Y?
MCQ
805
A group of 400\displaystyle 400 soldiers at border area had a provision for 31\displaystyle 31 days. After 28\displaystyle 28 days 280\displaystyle 280 soldiers from this group were called back. Find the number of days for which the remaining ration will be sufficient?
MCQ
812
P, Q and R three cities. The ratio of average temperature between P and Q is 11:12\displaystyle 11:12 and that between P and R is 9:8\displaystyle 9:8. The ratio between the average temperature Q and R
MCQ
821
The ratio of the prices of two houses was 16:23\displaystyle 16:23. Two years later when the price of the first has increased by 10%\displaystyle 10\% and that of the second by Rs.477\displaystyle \text{Rs.} 477, the ratio of the prices becomes 11:20\displaystyle 11:20. Find the original prices of the two houses.
MCQ
840
What must be added to each term of the ratio 49:68\displaystyle 49:68. So that it becomes 3:4\displaystyle 3:4?
MCQ
829
The salaries of A,B\displaystyle A, B and C\displaystyle C are of ratio 2:3:5\displaystyle 2:3:5. If the increments of 15%,10%\displaystyle 15\%, 10\% and 20%\displaystyle 20\% are done their respective salaries, then find new salaries.
MCQ
837
A person has asset worth of Rs.1,48,200\displaystyle \text{Rs.} 1,48,200. He wish to divide it amongst his wife, son and daughter in the ratio 3:2:1\displaystyle 3:2:1 respectively. From this assets share of his son will be.
MCQ
850
The third proportional to 15\displaystyle 15 and 20\displaystyle 20 is
MCQ
4000
A startup business was initiated by an entrepreneur by investing ₹ 1,40,000. His friend joined him after six months with an amount of ₹ 2,10,000. Thereafter an angel investor joined them with ₹ 2,80,000 after another six months. What should be the ratio of distribution of total earnings, three years since beginning of business among entrepreneur, his friend and angel investor?
MCQ
4001
The sum of three numbers is 98. If the ratio of the first to second number is 2:3 and that of the second to third is 5:8, then the second number is
MCQ
4002
If log⁡(a+b4)=12(log⁡a+log⁡b)\displaystyle \log \left(\frac{a+b}{4}\right) = \frac{1}{2}(\log a + \log b), then the value of ab+ba\displaystyle \frac{a}{b} + \frac{b}{a} will be
MCQ
4003
If 4x=5y=20z\displaystyle 4^x = 5^y = 20^z then z\displaystyle z is equal to
MCQ
4100
The value of x\displaystyle x in log⁡x(4)+log⁡x(16)+log⁡x(64)=12\displaystyle \log_x(4) + \log_x(16) + \log_x(64) = 12 is
MCQ
4101
XYZ invested ₹ 1,68,000 in a business. After a few months, MNP joined in the business by investing ₹ 1,12,000 in the business. At the end of year, the total profit was divided between them in the ratio 2:1. After how many months, did MNP join the business?
MCQ
4102
The value of log⁡a(aaaa)\displaystyle \log_{\sqrt{a}} \left( \sqrt{a\sqrt{a\sqrt{a\sqrt{a}}}} \right) is
MCQ
4103
The ratio of 1235:13140\displaystyle \frac{1}{2}\sqrt{35} : \frac{1}{3}\sqrt{140} is equal to the ratio
MCQ
4248
If 3x×b5log⁡bx=192\displaystyle 3x \times b^5 \log_b x = 192 then the value of x is
MCQ
4249
In India, an examination is conducted in two sessions. In the first session the ratio of boys to girls among 455 students is 8: 5. If 50 new girls are admitted in the second session, how many new boys must be admitted so that the ratio of girls to boys becomes 3: 4?
MCQ
4252
Find the value of (xbxc)(b+c−a)×(xcxa)(c+a−b)×(xaxb)(a+b−c)\displaystyle \left(\frac{x^b}{x^c}\right)^{(b+c-a)} \times \left(\frac{x^c}{x^a}\right)^{(c+a-b)} \times \left(\frac{x^a}{x^b}\right)^{(a+b-c)}
MCQ
880
Find the value of 3t−1/t−1/3\displaystyle 3t^{-1} / t^{-1/3}
MCQ
855
A sum of money is to be distributed among A,B,C,D\displaystyle A, B, C, D in the proportion of 5:2:4:3\displaystyle 5:2:4:3. If C\displaystyle C gets ₹1000\displaystyle ₹1000 more than D\displaystyle D, what is B\displaystyle B's share?
MCQ
883
The value of 6n+4+3n+3×2n+35×6n+6n\displaystyle \frac{6^{n+4}+3^{n+3} \times 2^{n+3}}{5 \times 6^n+6^n} is
MCQ
874
Value of 2m+1×32m−n+3×5n+m+4×62n+m62m+n×10n+1×15m+3\displaystyle \frac{2^{m+1} \times 3^{2m-n+3} \times 5^{n+m+4} \times 6^{2n+m}}{6^{2m+n} \times 10^{n+1} \times 15^{m+3}}
MCQ
888
If a3+b3+c3=0\displaystyle \sqrt[3]{a}+\sqrt[3]{b}+\sqrt[3]{c}=0 then the value of (a+b+c3)3\displaystyle \left(\frac{a+b+c}{3}\right)^3 is equal to
MCQ
877
Value of [9n+14⋅3⋅3n3⋅3−n]1n\displaystyle \left[9^{n+\frac{1}{4}} \cdot \frac{\sqrt{3 \cdot 3^n}}{3 \cdot \sqrt{3^{-n}}}\right]^{\frac{1}{n}}
MCQ
890
If 2x=4y=8z\displaystyle 2^x = 4^y = 8^z and 12x+14y+16z=247\displaystyle \frac{1}{2x} + \frac{1}{4y} + \frac{1}{6z} = \frac{24}{7}, then the value of z\displaystyle z is:
MCQ
894
What is the value of (xbxc)(b+c−a)×(xcxa)(c+a−b)×(xaxb)(a+b−c)\displaystyle \left(\frac{x^b}{x^c}\right)^{(b+c-a)} \times \left(\frac{x^c}{x^a}\right)^{(c+a-b)} \times \left(\frac{x^a}{x^b}\right)^{(a+b-c)}
MCQ
893
If 2x=4y=8z\displaystyle 2^x = 4^y = 8^z and 12x+14y+16z=247thenthevalueof\displaystyle \frac{1}{2x} + \frac{1}{4y} + \frac{1}{6z} = \frac{24}{7} then the value ofz$ is:
MCQ
875
If 2x2=3y2=12z2\displaystyle 2^{x^2} = 3^{y^2} = 12^{z^2} then
MCQ
4300
A startup business was initiated by an entrepreneur by investing ₹ 1,40,000. His friend joined him after six months with an amount of ₹ 2,10,000. Thereafter an angel investor joined them with ₹ 2,80,000 after another six months. What should be the ratio of distribution of total earnings, three years since beginning of business among entrepreneur, his friend and angel investor?
MCQ
4301
The sum of three numbers is 98. If the ratio of the first to second number is 2:3 and that of the second to third is 5:8, then the second number is
MCQ
4302
If log⁡(a+b4)=12(log⁡a+log⁡b)\displaystyle \log \left(\frac{a+b}{4}\right) = \frac{1}{2}(\log a + \log b), then the value of ab+ba\displaystyle \frac{a}{b} + \frac{b}{a} will be
MCQ
4303
If 4x=5y=20z\displaystyle 4^x = 5^y = 20^z then z\displaystyle z is equal to
MCQ
4400
The value of x\displaystyle x in log⁡x(4)+log⁡x(16)+log⁡x(64)=12\displaystyle \log_x(4) + \log_x(16) + \log_x(64) = 12 is
MCQ
4401
XYZ invested ₹ 1,68,000 in a business. After a few months, MNP joined in the business by investing ₹ 1,12,000 in the business. At the end of year, the total profit was divided between them in the ratio 2:1. After how many months, did MNP join the business?
MCQ
4402
The value of log⁡a(aaaa)\displaystyle \log_{\sqrt{a}} \left( \sqrt{a\sqrt{a\sqrt{a\sqrt{a}}}} \right) is
MCQ
4403
The ratio of 1235:13140\displaystyle \frac{1}{2}\sqrt{35} : \frac{1}{3}\sqrt{140} is equal to the ratio
MCQ
4548
If 3x×b5log⁡bx=192\displaystyle 3x \times b^5 \log_b x = 192 then the value of x is
MCQ
4549
In India, an examination is conducted in two sessions. In the first session the ratio of boys to girls among 455 students is 8: 5. If 50 new girls are admitted in the second session, how many new boys must be admitted so that the ratio of girls to boys becomes 3: 4?
MCQ
4552
Find the value of (xbxc)(b+c−a)×(xcxa)(c+a−b)×(xaxb)(a+b−c)\displaystyle \left(\frac{x^b}{x^c}\right)^{(b+c-a)} \times \left(\frac{x^c}{x^a}\right)^{(c+a-b)} \times \left(\frac{x^a}{x^b}\right)^{(a+b-c)}
MCQ
5267
1. What will be the carrying amount of the Machine as on 31st March, 2021 after charging depreciation for the year?
MCQ
5268
2. What will be the amount of depreciation to be charged on the Machine for the year ended 31st March, 2022?
MCQ
5269
3. What will be the impact of test of impairment on Profit & Loss Account of the company?
MCQ
5270
4. What will be the amount of Profit or Loss on exchange of Machine as on 1st April, 2024?
MCQ
5271
5. What would be the value of the Deferred Tax Assets as on 31-03-2024?
MCQ
5272
6. What would be the value of the Deferred Tax Liabilities as on 31-03-2024?
MCQ
5273
7. What would be the value of reversal of Deferred Tax Assets as on 31-03-2024?
MCQ
5274
8. Which is the permanent difference item as per AS 22?
MCQ
5275
9. AB Contractors undertakes a fixed price contract of ` 350 Lakhs. Information related to contract is given as under: Material purchased ` 125 lakhs Labour charges ` 95 lakhs Unused material ` 22 lakhs Estimated future costs to be incurred to complete the contract ` 115 Lakhs. Payment received as part payment of contract ` 50 Lakhs. Machinery used for 4 years for the contract. Original cost of the machine is ` 210 Lakhs. Expected life of machinery is 20 years. What will be the Profit/Loss on the contract?
MCQ
5276
10. Ace Limited borrowed ` 25 Lakhs from ABN Bank during the financial year 2023-24. Ace Limited used these funds to invest in Equity shares of Kay Limited. Kay Limited is implementing a new Project, so with these future prospects, Ace Limited invested ` 25 Lakhs in Kay Limited. As on 31st March, 2024, since the said project was not complete, the directors of Ace Limited capitalised the interest on loan amounting to ` 2 lakhs and thus added the amount of interest to the cost of Investments. Market value of these investments on 31st March, 2024 is ` 24 Lakhs. Identify the correct statement, considering the above facts as per AS 16:
MCQ
5277
11. What would be the value of Cash Flow from Operating Activities?
MCQ
5278
12. What would be the value of Cash Flow from Investing Activities?
MCQ
5279
13. What would be the value of Cash Flow from Financing Activities?
MCQ
5280
14. Which of the following would be considered as a 'Cash Flow item from an Investing Activities?
MCQ
5281
15. Glow Limited had taken a loan of ` 5,00,000 in June, 2023. The loan is to be repaid in 10 half yearly equal installments starting from December, 2023. Determine how the remaining loan will be classified in the Balance Sheet as on 31st March, 2024 as per Schedule III of the Companies Act, 2013?
MCQ
5282
3. 12% Convertible Debentures Increase in net profit {` 30,00,000 x 0.12 x ( 1 - 0.30)} ` 2,52,000 No. of incremental shares {30,000 x 4} 1,20,000 (
MCQ
5283
1. Shareholders’ Fund 1 10,00,000 (
MCQ
5284
3. Current liabilities
MCQ
5285
1. Non-current assets
MCQ
5286
2. Current assets (
MCQ
5287
6. Non-current investments Non-trade investments at cost 2,80,000 2,80,000 Subsequent to approval by court and all interested parties, the following scheme of reconstruction were agreed:- (1) Uncalled capital is to be called up in full and such shares and other fully paid -up equity shares to be reduced to ` 5 per share. (2) The preference shareholders will accept a reduction of ` 2.5 per share, in exchange the rate of dividend is to be increased to 9%. (3) Preference shareholders will forgo their claim of dividend for one year and one equity share of ` 5 each is to be issued for the remaining arrears of dividend. (4) Mr. X holds 10% debentures for ` 2,50,000. He is also a creditor for ` 50,000. He agreed to cancel 50% of his total debt, including interest on debentures, pay ` 20,000 to the company and to receive new 12% debentures for the balance amount. (5) The remaining claim of the debenture holders, including outstanding interest to be reduced to 60%. In consideration of the reduction, the debenture holders are to receive new 9% preference shares at new face value. (6) The taxation liability is to be settled at ` 1,20,000. (7) Market value of Non-current Investments is ` 2,50,000. Investments to be brought to their market value. (8) Inventory equal to ` 1,00,000 at book value will be taken over by remaining creditors in full settlement of their claim. (9) A bad debt provision of 2% is to be created on trade receivables. (10) Plant and Machinery is to be written down by 20%. (11) The company will further issue 12% debentures for such amount which is sufficient to pay off bank overdraft and other outstanding liabilities and maintain its cash/bank balance at ` 85,000. (12) The amount available by the scheme shall be utilized in writing of Goodwill, debit balance of profit and loss a/c and balance of inventory. You are required to:
MCQ
5288
3. Property, Plant and Equipment Land and Building 58.00 44.00 Plant and machinery 7.50 4.50 Other Assets 3.20 1.75 68.70 50.25 ADVANCED ACCOUNTING Other Information:
MCQ
5289
5. Non–Current Investment Investment in Clear Limited 41,50,000 - Additional Information:
MCQ
5290
Question No. 11-14 11. What would be the value of Cash Flow from Operating Activities? (A) ` 1,29,500 (B) ` 1,54,500 (C) ` 1,45,300 (D) ` 4,04,000 12. What would be the value of Cash Flow from Investing Activities? (A) ` 54,300 (B) ` 1,04,300 (C) ` 29,300 (D) ` (500) 13. What would be the value of Cash Flow from Financing Activities? (A) ` (50,000) (B) ` (1,35,600) (C) ` 54,300 (D) ` (1,60,600) 14. Which of the following would be considered as a 'Cash Flow item from an Investing Activities? (A) Underwriting Commission (B) Trade Commission (C) Purchase of Goodwill (D) Interest on Long Term Borrowings ADVANCED ACCOUNTING 15. Glow Limited had taken a loan of ` 5,00,000 in June, 2023. The loan is to be repaid in 10 half yearly equal installments starting from December, 2023. Determine how the remaining loan will be classified in the Balance Sheet as on 31st March, 2024 as per Schedule III of the Companies Act, 2013? (A) ` 3,50,000 is to be shown under the head 'Long term borrowings and ` 1,00,000 is to be shown under the head 'Short term borrowings" (B) ` 3,50,000 is to be shown under the head 'Long term borrowings and ` 75,000 is to be shown under the head "Short term borrowings" and ` 25,000 is to be shown under the head 'Other Current liabilities." (C) ` 4,50,000 is to be shown under the head 'Long term borrowings" (D) ` 3,50,000 is to be shown under the head 'Long term borrowings' and ` 1,00,000 is to be shown under the head 'Other Current liabilities."
Subjective
5291
Question No. 1 is compulsory.
Subjective
5292
Question 1 (a) XYZ Limited has provided you the following information as on 31st March,2024: Particulars ` Net profit (After Tax) ` 31,20,000 No. of shares outstanding as on 31-3-2024 of ` 10 each 8,00,000 Average fair value of one equity share during the year 2023-24 ` 25 Weighted average on. Of shares under option during the year 2023-24 80,000 Exercise price for shares under option during the year 2023-24 ` 20 12% Debentures of ` 100 each ` 30,00,000 (Each debenture is convertible into 4 equity shares) Tax rate 30% The company issued one equity share as bonus for every 5 equity shares outstanding as on 1st October, 2023. It further issued 2,00,000 equity shares of ` 10 each as on 1stJanuary, 2024. The Financial Year of the company ends on 31st March each year. You are required to calculate Basic and Diluted earnings per share as on 31st March, 2024 (round off your answer to 2 decimal places). (5 Marks) (b) J Limited availed an equipment on lease from K Limited. The conditions of the lease terms are as under: ADVANCED ACCOUNTING (i) Lease starts from 1st April, 2020 for a period of 4 Years and useful life of the equipment is 6 years. Both the cost and fair value of equipment are ` 12,50,000. (ii) The equipment reverts back to the lessor on termination of the lease. (iii) The unguaranteed residual value is estimated at ` 1,20,000 at the end of the financial year 2023-2024. (iv) The amount will be paid in 4 equal instalments at the end of each year. (v) Consider IRR = 8%. (vi) The present value of ` 1 at the end of 4th year at 8% of interest is ` 0.735. (vii) The present value of annuity of` 1 due at the end of 4th year at 8% IRR is ` 3.312 State whether this lease is operating lease or Finance lease (by applying two deterministic parameters). Also calculate unearned finance Income. (5 Marks) (c) What is the difference between Defined Contribution Plan and Defined Benefit Plan? From the following information calculate the amount of defined benefit liability /asset: Particulars ` in lakhs Present Value of Defined Benefit Obligation as on 31-3-2024 36.0 Fair Value of Plan asset 38.5 Past service cost not yet recognized 7.5 Present value of available future refund from the plan 6.0 (4 Marks)
Subjective
5293
Question 2 Sustain Limited is incurring losses due to adverse market conditions. It decided to reorganize is capital structure. The summarized Balance Sheet of the company as on 31st March, 2024 is as follows: Particulars Notes ` Equity and Liabilities 1. Shareholders’ Fund 1 10,00,000 (a) Share Capital 2 (2,50,000) (b) Reserves and Surplus 2. Non-current liabilities Long term borrowing 3 4,50,000 3. Current liabilities (a) Trade Payables 1,30,000 (b) Short term borrowings – Bank Overdraft 65,000 (c) Other Current Liabilities (Interest payable on Debentures) 45,000 (d) Short term provision (Provision for Income Tax) 1,00,000 Total 15,40,000 Assets 1. Non-current assets (a) Property, Plant & Equipment 4 8,50,000 (b) Intangible assets 5 60,000 (c) Non-current investments 6 2,80,000 2. Current assets (a) Inventories 1,20,000 (b) Trade receivables 2,30,000 Total 15,40,000 Notes to accounts: ` 1. Share Capital Equity share capital: 50,000 Equity shares of ` 10 each fully paid up 5,00,000 25,000 Equity shares of ` 10 each, ` 8 paid up 2,00,000 Preference share capital: 30,000 8% Cumulative Preference shares of ` 10 each (Preference dividend has been in arrears for 3 years) 3,00,000 10,00,000 ADVANCED ACCOUNTING 2. Reserves and Surplus Profit and Loss account (debit balance) (2,50,000) 3. Long-term borrowings Secured: 10% Debentures of ` 100 each 4,50,000 4,50,000 4. Property, Plant and Equipment Freehold property 1,00,000 Plant and machinery 7,50,000 8,50,000 5. Intangible assets Goodwill 60,000 60,000 6. Non-current investments Non-trade investments at cost 2,80,000 2,80,000 Subsequent to approval by court and all interested parties, the following scheme of reconstruction were agreed:- (1) Uncalled capital is to be called up in full and such shares and other fully paid -up equity shares to be reduced to ` 5 per share. (2) The preference shareholders will accept a reduction of ` 2.5 per share, in exchange the rate of dividend is to be increased to 9%. (3) Preference shareholders will forgo their claim of dividend for one year and one equity share of ` 5 each is to be issued for the remaining arrears of dividend. (4) Mr. X holds 10% debentures for ` 2,50,000. He is also a creditor for ` 50,000. He agreed to cancel 50% of his total debt, including interest on debentures, pay ` 20,000 to the company and to receive new 12% debentures for the balance amount. (5) The remaining claim of the debenture holders, including outstanding interest to be reduced to 60%. In consideration of the reduction, the debenture holders are to receive new 9% preference shares at new face value. (6) The taxation liability is to be settled at ` 1,20,000. (7) Market value of Non-current Investments is ` 2,50,000. Investments to be brought to their market value. (8) Inventory equal to ` 1,00,000 at book value will be taken over by remaining creditors in full settlement of their claim. (9) A bad debt provision of 2% is to be created on trade receivables. (10) Plant and Machinery is to be written down by 20%. (11) The company will further issue 12% debentures for such amount which is sufficient to pay off bank overdraft and other outstanding liabilities and maintain its cash/bank balance at ` 85,000. (12) The amount available by the scheme shall be utilized in writing of Goodwill, debit balance of profit and loss a/c and balance of inventory. You are required to: (a) Show the journal entries, necessary to record the above transaction in the company’s books and (b) Prepare a note to show revised Share capital structure of the company after completion of the scheme. (14 Marks)
Subjective
5294
Question 3 (a) An Engineering goods company provides ‘after sales warranty’ for 2 years to its customers. Based on the past experience, the company has been following policy for making provision for warranties on the Invoice amount on the remaining balance warranty period: Invoice less than 1 year : 2.5% provision Invoice more than 1 year : 4.5% provision The Company has raised Invoices as under: Invoice Date ` 20th February, 2021 42,000 17th July, 2022 25,000 27th January, 2022 47,000 1st March, 2023 1,10,000 24th August, 2023 34,000 20th March, 2024 75,000 You are required to: (i) Calculate the provision to be make for warranty under AS 29 as at 31st March, 2023 and 31st March, 2024: (ii) Also compute the amount to be debited to Profit and Loss Account for the year ended 31st March, 2024. (7 Marks) (b) Given below are the extracts of the Balance Sheet of BGH Limited: Particulars 31st March, 2024 (`) 31st March, 2023 (`) Share Capital 5,00,000 4,00,000 Profit & Loss Account 1,10,000 60,000 10% Debentures (issued at the end of the year) 1,00,000 - Bank Loan 2,50,000 2,00,000 Trade Payable 60,000 75,000 Dividend Payable - 50,000 Interest Payable on Bank Loan (Current Year) 25,000 20,000 Goodwill 1,20,000 1,50,000 Trade Receivables 65,000 95,000 Inventory 55,000 30,000 You are required to prepare for the year ended 31st March,2024: Cash Flow from Operating Activities; Cash Flow from Financing Activities. (7 Marks)
Subjective
5295
Question 4 Following are the summarized Balance Sheet of Light Limited and Bright Limited as at 31st March,2024: Particulars Notes Light Limited (` in Lakhs) Bright Limited (` in Lakhs) Equity and Liabilities Shareholders’ Funds (a) Share Capital 1 50.00 40.00 (b) Reserves and Surplus 2 27.00 24.00 Non- Current Liabilities Long Term Provisions 1.50 - Current Liabilities Trade Payables 3.40 2.00 Total 81.90 66.00 Assets Non-Current Assets Property, Plant and Equipment 3 68.70 50.25 Current Assets (a) Inventories 5.75 7.10 (b) Trade Receivables 4.30 5.80 (c) Cash and Cash equivalents 3.15 2.85 Total 81.90 66.00 Notes to Accounts: Particulars Light Limited (` in Lakhs) Bright Limited (` in Lakhs) 1. Share Capital 50,000 Equity Shares of ` 100 each 50.00 40.00 2. Reserves and Surplus Statutory Reserve 2.00 - General Reserve 18.00 15.00 Securities Premium - 5.00 Profit and Loss 7.00 4.00 27.00 24.00 3. Property, Plant and Equipment Land and Building 58.00 44.00 Plant and machinery 7.50 4.50 Other Assets 3.20 1.75 68.70 50.25 ADVANCED ACCOUNTING Other Information: (a) A company Rainbow Limited is formed to acquire the Assets and Liability of both the companies. Assets were acquired at book values except Land and Building of Light Limited, which is revalued at ` 62 lakhs. (b) Other Assets of Bright Limited are obsolete and are scrapped and sold for ` 50,000 by Bright Limited itself before acquisition of its assets and liabilities by Rainbow Limited. (c) Light Limited and Bright Limited will be issued 80,000 and 64,000 equity shares of ` 100 each respectively of new company Rainbow Limited in lieu of purchase consideration due to them. You are required to Prepare: (a) Realisation Account and Equity Shareholders Account in the books of Light Limited and Bright Limited; (b) Opening Balance Sheet of Rainbow Limited as at 31st March,2024. (14 Marks)
Subjective
5296
Question 5 The summarized Balance Sheets of Super Limited and Clear Limited as on 31st March,2024 is as below: Particulars Note Super Limited ` Clear Limited ` Equity and Liabilities Shareholders’ Funds (a) Share Capital 1 95,00,000 50,00,000 (b) Reserves and Surplus 2 25,75,000 12,25,000 Non-Current Liabilities (a) Long term borrowings 3 5,00,000 2,00,000 Current Liabilities (a) Short term borrowings 4,50,000 - (b) Trade Payables 3,65,000 2,45,000 Total 1,33,90,000 66,70,000 Assets Non-current assets (a) Property, Plant and Equipment 4 77,00,000 54,00,000 (b) Non-Current Investment 5 41,50,000 - Current Assets (a) Inventories 6,75,000 5,65,000 (b) Trade Receivables 5,85,000 4,90,000 (c) Cash and Cash equivalents 2,80,000 2,15,000 Total 1,33,90,000 66,70,000 Notes to Accounts: Particulars Super Limited ` Clear Limited ` 1. Share Capital 8,00,000 Equity Shares of ` 10 each fully paid up 80,00,000 5,00,000 Equity Shares of ` 10 each fully paid up - 50,00,000 15,000 Preference Shares of ` 100 each fully paid up 15,00,000 - 95,00,000 50,00,000 2. Reserves and Surplus General Reserve 15,50,000 6,50,000 Profit and Loss Account 10,25,000 5,75,000 25,75,000 12,25,000 3. Long term borrowing 10% Debentures 5,00,000 - 9% Debentures - 2,00,000 4. Property, Plant & Equipment Land & Building 65,00,000 45,50,000 Plant & Machinery 9,50,000 6,75,000 Furniture & Fittings 2,50,000 1,75,000 77,00,000 54,00,000 5. Non–Current Investment Investment in Clear Limited 41,50,000 - Additional Information: (a) Super Limited holds 75% of Equity Shares in Clear Limited since the incorporation of Clear Limited. (b) 25% of Trade Receivables of Super Limited is due from Clear Limited. ADVANCED ACCOUNTING (c) During the year Super Limited sold inventory costing ` 2,00,000 to Clear Limited at a price of 15% above cost. The entire inventory remains unsold with Clear Limited at the end of financial year. You are required to prepare Consolidated Balance Sheet of Super Limited and Clear Limited as on 31st March, 2024. (14 Marks)
Subjective
5297
Question 6 (a) The following information is provided for the year ended 31st March, 2024: (i) AX Limited holds 70% shares of BX Limited (ii) BX Limited holds 30% shares of CX Limited (iii) DX Limited holds 40% shares of in CX Limited (iv) DX Limited holds 49% shares in EX Limited You are required to: (i) Identity the related parties for the reporting entities – AX Limited, CX Limited and EX Limited. (ii) If DX Limited would have sold its investment in EX Limited on 1st October, 2023, but goods were continued to be supplied by DX Limited to EX Limited throughout the year, will this scenario change your answer with respect to any of the reporting entity mentioned in point (i)? ADVANCED ACCOUNTING Give reasons for your answer as per AS 18. (4 Marks) OR (a) Given below is the Balance Sheet of Sky and Associates as on 31st March,2023: Liabilities ` Assets ` Capital 1,60,000 Machinery 1,80,000 Profit & Loss Account 93,000 Stock 1,15,000 8% Loan 40,000 Trade Receivables 75,000 Trade Payables 66,000 Deferred Expenditure 9,000 Bank Overdraft 20,000 3,79,000 3,79,000 Additional information: (1) The firm is planning to shut down its business with immediate effect from 1stApril, 2024. (2) The sale and purchase of the firm for the year 2023-24 amounts to ` 8,20,000 and ` 6,50,000 respectively. (3) The value of Closing Stock as on 31-3-2024 was ` 65,000. The net realizable value is estimated at 120% of cost. (4) Other expenses for the period amount to ` 25,000. (5) Deferred expenditure is getting amortized over 5 years starting form 31-3-2022. (6) The remaining life of Machinery is expected to be 3 years. The realizable value of Machine is expected at ` 1,65,000, an expense of ` 5,000 is to be incurred to realize the same. (7) Out of trade receivables, ` 5,000 is expected to be unrealizable due to an ongoing dispute. (8) Bank has charged a penalty of ` 2,500 for crossing the overdraft limit. (9) The lender has agreed to forgo 50% of interest charge for the year. (10) The firm is expecting a discount of ` 4,000 from creditors at the time of full and final settlement. You are required to prepare a Profit & Loss A/c for the year ended 31st March, 2024 to ascertain its Profit/Loss for the period. (4 Marks) (b) Following information are available in respect of Z Limited as on 31st March, 2024: 4,00,000 Equity share capital of ` 10 each ` 40,00,000 Capital Reserve ` 20,000 Revenue Reserve ` 50,00,000 Securities Premium ` 6,00,000 Profit and Loss Account ` 19,00,000 Investments ` 40,00,000 The company decides to buy back 20% of its Equity capital @` 15 per share on 1st April, 2024. Buy back is as per provisions of the Companies Act and company passed the necessary resolutions for it. For this purpose, it sold its investments of ` 40 lakhs for ` 32 lakhs. You are required to pass the necessary journal entries. (4 Marks) (c) Give Journal Entries (with Narrations) in the books of an Independent Branch of a business entity to rectify or adjust the following: (i) Commission (income) of ` 7,500 allocated to Branch by Hand office but still no entry is passed in the books of branch. (ii) Head office paid ` 12,000 directly to one of branch’s supplier. The intimation is received by branch on reconciliation of bank statement of branch with its books. (iii) A remittance of ` 85,000 is sent by branch to Head office has not been received by Head office till date. (iv) Branch paid ` 9,800 as salary to Head office’s employee, but the amount paid has been wrongly debited to salary account. ADVANCED ACCOUNTING (v) Branch purchased Furniture for ` 18,000 through cheque, but the Furniture account was retained in Head office Books. No entry has yet been passed. (vi) Branch incurred ` 5,500 of expenses on behalf of other branches of head office, this transaction was not recorded in the books of branch. (6 Marks)
Subjective
5298
1. What is the stage of completion of contract on the basis of proportion of contract costs incurred to the total estimated contract costs at the end of year 1 and Year 2 respectively?
MCQ
5299
2. What is the amount of the profit to be recognized at the end of Year 1?
MCQ
5300
3. What is the amount of contract revenue recognized in each year of contract?
MCQ
5301
4. X Ltd. has entered into a binding agreement with Beta Ltd. to buy a custom­ made machine for ` 2 lakhs. During the year 2024-25 X Ltd has to change its method of production due to changes in market trend. Before the delivery of the machine, X Ltd had already changed its method of production and the new method will not require the machine ordered. Now the company decides to scrap it after delivery. The expected scrap value is ` 25,000. Machine was received on 10th October, 2024 and was scrapped on 15th October, 2024. The correct accounting treatment for above machine in the year 2024-25 is -
MCQ
5302
5. ABC Ltd. is in the business of creating contents for various OTT platforms. The company has developed a technical know-how (the asset) by incurring expenditure of ` 25 lakhs. The company started using the asset from 1st April 2019. The management of the company is of the view that the asset has infinite lifetime and therefore has not amortized the asset till date. What should be the total amortization amount (including current as well as the previous years amortization) to be charged to Profit and loss account for the year ended March 31st 2024, with reference to AS 26?
MCQ
5303
6. How the recognition of revenue from sales of medicine to Dee Limited will be done by HIL under AS 9 and what would be the treatment of unrealized amount for the year ended 31st March, 2024?
MCQ
5304
7. How will you recognize the reduction in the value of the investments in the financial statements for the year ended 31st March 2024 as per AS 13 (Revised)?
MCQ
5305
8. Ascertain the loss/gain due to change in foreign exchange rates to be recognised in the financial statements for the year ended 31st March, 2024 as per 11.
MCQ
5306
9. What would be the date of "initial disclosure of event" be considered for Bhopal Plant?
MCQ
5307
10. X Ltd. sold Plant & Machinery having WDV of ` 60 lakhs to Y Ltd. for ` 75 lakhs (Fair value of ` 75 Lakhs) and the same plant was leased back by Y Ltd. to X Ltd. The lease back is in the nature of operating lease. The treatment will be:
MCQ
5308
11. What will be the balance of capital redemption reserve as on 31st March 2025?
MCQ
5309
12. What will be the Cash and Bank Balance as on 31st March 2025?
MCQ
5310
13. What will be the Balance of Reserves as on 31st March 2025 excluding capital redemption Reserve?
MCQ
5311
14. Past Ltd. had the following items under the head "Reserves and Surplus” the Balance Sheet as on 31st March 2025: (Amount ` in lakhs) Securities Premium Account 90 Capital Reserve 40 Revaluation Reserve 70 The company had an accumulated loss of ` 280 lakhs on the same date, which was disclosed under the head "Statement of Profit and Loss" as asset in Balance Sheet. What should be disclosed on the face of Balance Sheet as per Schedule III to the Companies Act, 2013?
MCQ
5312
15. During the process of Internal Reconstruction, JAY Ltd has come across the following adjustment: ADVANCED ACCOUNTING There is a contingent liability for which no provision had been made. This contingent liability was settled at ` 7,500 and also ` 6,000 was recovered from the insurance company in this regard. Which of the following is the correct treatment for the above adjustment?
MCQ
5313
1. Shareholder Funds (
MCQ
5314
3. Current liabilities (
MCQ
5315
2. Current Assets
MCQ
5316
4. Cash & Cash equivalents 2,76,000 1,85,000 Further information related to Profit and loss A/c for the year ended March, 2025 is as under: (i) Profit before tax is ` 45,000 (ii) Tax expense during the year ` 15,000 (it includes deferred tax liability of ` 6,000 created during the year) (iii) Depreciation charged on furniture and fixture for the year was ` 35,000. One old furniture item was sold for ` 17,000 and the profit on such disposal amounting to current year ` 8,000 was booked in the current year. Prepare a Cash Flow Statement for the year ended 31st March, 2025. (7 Marks) (
MCQ
5317
Question No. 11 - 13: 11. What will be the balance of capital redemption reserve as on 31st March 2025? (A) ` 280 Lakhs (B) ` 330 Lakhs (C) ` 250 Lakhs (D) ` 130 Lakhs 12. What will be the Cash and Bank Balance as on 31st March 2025? (A) ` 56.40 Lakhs (B) ` 66.40 Lakhs (C) ` 59.20 Lakhs (D) ` 48 Lakhs 13. What will be the Balance of Reserves as on 31st March 2025 excluding capital redemption Reserve? (A) General Reserve and Profit Loss ` 323 Lakhs and securities Premium ` 10 lakhs (B) General Reserve and Profit Loss ` 243 Lakhs and securities Premium ` 10 lakhs (C) General Reserve and Profit Loss ` 323 Lakhs and securities Premium ` 15.60 lakhs (D) General Reserve and Profit Loss ` 243 Lakhs and securities Premium ` 15.60 lakhs 14. Past Ltd. had the following items under the head "Reserves and Surplus” the Balance Sheet as on 31st March 2025: (Amount ` in lakhs) Securities Premium Account 90 Capital Reserve 40 Revaluation Reserve 70 The company had an accumulated loss of ` 280 lakhs on the same date, which was disclosed under the head "Statement of Profit and Loss" as asset in Balance Sheet. What should be disclosed on the face of Balance Sheet as per Schedule III to the Companies Act, 2013? (A) Reserve and Surplus-Securities premium 90 lakhs; others ` 110 lakh and Accumulated loss ` 280 lakhs in the Asset side. (B) Reserve and Surplus ` 200 lakhs; and Accumulated loss ` 280 lakhs in the Asset side. (C) Reserve and Surplus - ` 200 lakhs only (D Reserve and Surplus - ` 80 lakhs only 15. During the process of Internal Reconstruction, JAY Ltd has come across the following adjustment: ADVANCED ACCOUNTING There is a contingent liability for which no provision had been made. This contingent liability was settled at ` 7,500 and also ` 6,000 was recovered from the insurance company in this regard. Which of the following is the correct treatment for the above adjustment? (A) Reconstruction A/c Dr ` 1,500 and Bank A/c Cr ` 1,500 (B) Reconstruction A/c Dr ` 7,500 and Bank A/c Cr ` 7,500 (C) Contingent Liability A/c Dr ` 1,500 and Bank A/c Cr ` 1,500 (D) Profit and Loss A/c Dr 1,500 and Bank A/c Cr ` 1,500
Subjective
5318
Question No. 1 is compulsory.
Subjective
5319
Question 1 (a) Hardy Ltd. intends to extend the factory set up on the adjacent plot with disintegrated old premises. It acquired the land having an area of 250 hectares at a cost of ` 25,000 per hectare. Hardy Ltd. incurred Stamp duty and registration charges of 5% of land value. Legal fees were paid ` 4,75,000 for land acquisition. Hardy Ltd. incurred ` 37,85,000 for demolishing old premises thereon. A sum of ` 12,60,000 (including 5% GST thereon) was realized from the sale of material salvaged from the site. Till the new site with extended factory premises is ready, the company needs to move the present production facilities to another (temporary) site. The following incremental costs will be incurred. (1) Set up costs of ` 7,50,000 to install machinery in the new location. (2) Rent of ` 12,00,000. (3) Removal costs of ` 2,50,000 to transport the machinery from the old location to the temporary location. (i) Management is of the opinion that the cost of moving the production facilities to another temporary location can be capitalised. You are required to advise. (ii) You are also required to compute the cost of land acquired. (7 Marks) (b) Ms. Neha had 20,000 Equity shares in Nexus Ltd. at a book value of ` 2,40,000 on 01.04.2024. Face value of shares is ` 10 per share. ADVANCED ACCOUNTING The Directors of Nexus Ltd. announced a bonus of equity shares in the ratio of one share for every 5 shares held on 30/04/2024. On 31/07/2024 the company made a right issue in the ratio of three shares for every 4 shares held, on payment of ` 14 per share. The due date for payment was 31/08/2024. Ms. Neha opted to subscribe 50% of the right shares and sold the remaining of her entitlement to Ms. Rewa for a consideration of ` 3 per share. On 08/10/2024, Ms. Neha received dividend from Nexus Ltd. @ 15% for the year ended 31/03/2024. On 01/11/2024, Neha sold 11500 shares at a premium of ` 16 per share. You are required to prepare Investment A/c as per AS -13 in the books of Ms. Neha for the year ended 31/03/2025 assuming that the shares are being valued at average cost. (7 Marks)
Subjective
5320
Question 2 Following particulars are furnished by Bela Ltd for the year ended 31st March 2025. Particulars Debit ` Credit` Equity Share Capital (Face Value 100) 6,00,000 8% Preference Share Capital (Face Value 100) 3,00,000 Factory Building 6,20,000 Plant & Machinery 4,98,000 Furniture & Fittings 1,52,000 ADVANCED ACCOUNTING General Reserve 88,000 Term Loan from Public Financial Corp. 3,40,000 Inventory Raw Material 1,35,000 Finished Goods 66,000 Provision for taxation 12,000 Dividend Payable 10,000 Preliminary Expenses 21,000 Profit & Loss A/c 99,000 Cash in hand 16,000 Cash at Bank 39,000 Trade Receivables 2,38,000 Unsecured Loan 85,000 Trade Payables 2,45,000 Outstanding Expenses 6,000 17,85,000 17,85,000 Other Information: (1) The cost of assets was: Factory Building ` 6,94,000 Plant & Machinery ` 5,35,000 Furniture & Fittings ` 1,76,000 (2) The Equity Capital on 01/04/2024 stood at 5,000 shares fully paid up and 1,000 shares` 70 paid up. The directors made final call of ` 30 per share on 01/10/2024. A shareholder could not pay the call on 75 shares and his shares were forfeited. They were reissued @ ` 70 per share as fully paid. (3) Profit on reissue of forfeited equity shares was included in profit and loss account. (4) Bills discounted but not yet matured ` 15,000 (5) The balance of Term Loan from Public Finance Corporation includes ` 8,000 for interest accrued but not due. The loan is secured against hypothecation of Plant and Machinery. (6) The directors declared a dividend of 5% on Equity shares on 10/04/2025. You are required to prepare the Balance sheet as at 31st March, 2025 as required under Part-1 of the schedule III of the Companies Act. Workings should form part of the answer. (14 Marks)
Subjective
5321
Question 3 (a) The Balance Sheet of Moon Ltd. as on 31st March 2025 and 2024 were given as: Particulars Notes 31st March, 2025 31st March, 2025 ` ` Equity and Liabilities 1. Shareholder Funds (a) Share Capital 1 8,00,000 6,00,000 (b) Reserves and Surplus 2 80,000 50,000 2. Non-Current Liabilities (a) Deferred Tax Liability 6,000 - 3. Current liabilities (a) Trade payable 40,000 25,000 (b) Short term provisions (Provision for tax) 15,000 10,000 Total 9,41,000 6,85,000 Assets 1. Non-Current Assets (a) Property Plant and Equipment 3 3,95,000 2,90,000 2. Current Assets (a) Trade Receivable 20,000 10,000 (b) Inventories 2,50,000 2,00,000 (c) Cash and cash equivalent 4 2,76,000 1,85,000 Total 9,41,000 6,85,000 Notes to Accounts Notes Particulars 2025 (`) 2024(`) 1. Share Capital Equity Shares of ` 10 each 8,00,000 6,00,000 2. Reserve & Surplus Profit and loss Account 80,000 50,000 3. Property, Plant and Equipment (at WDV) Building 1,00,000 1,00,000 Furniture and fixtures 2,95,000 1,90,000 Total 3,95,000 2,90,000 4. Cash & Cash equivalents 2,76,000 1,85,000 Further information related to Profit and loss A/c for the year ended March, 2025 is as under: (i) Profit before tax is ` 45,000 (ii) Tax expense during the year ` 15,000 (it includes deferred tax liability of ` 6,000 created during the year) (iii) Depreciation charged on furniture and fixture for the year was ` 35,000. One old furniture item was sold for ` 17,000 and the profit on such disposal amounting to current year ` 8,000 was booked in the current year. Prepare a Cash Flow Statement for the year ended 31st March, 2025. (7 Marks) (b) XY Limited reported a Profit Before Tax (PBT) of ` 18 lakhs for the third quarter ending 31st December 2024. Following observations are noted; (i) Dividend income of ` 8 lakhs received during the quarter has been recognized to the extent of ` 2 lakh only. (ii) Sales promotion expenses ` 15 lakhs incurred in the third quarter, 70% has been deferred to the fourth quarter as the sales in the last quarter is high. (iii) In the third quarter, the company changed depreciation method from WDV to SLM, which resulted in excess depreciation of ` 4 lakhs. The ADVANCED ACCOUNTING entire amount has been debited in the third quarter, though the share of the third quarter is only ` 1 lakhs. (iv) ` 3 lakhs extra-ordinary gain received in third quarter was allocated equally to the third and fourth quarter. (v) Cumulative loss resulting from change in method of inventory valuation was recognized in the third quarter of ` 5 lakhs. Out of this loss ` 2 lakhs relates to previous quarters. (vi) Sale of investment in the first quarter resulted in a gain of ` 30 lakhs. The company had apportioned this equally to the four quarters. Calculate the result of the third quarter as per AS 25 and also comment on the company's view on each observation. (7 Marks)
Subjective
5322
Question 4 The following is summarized Balance Sheet of Pickles Ltd. as on 31/03/2025. Particulars Notes ` Equity and Liabilities 1 Shareholders’ Funds A Share Capital 1 11,00,000 B Reserves and Surplus 2 2,10,000 2 Non-Current liabilities A Long term borrowings 3 1,00,000 B Long term Provisions 4 60,000 3 Current liabilities A Trade Payables 1,75,000 B Other Current Liabilities 65,000 Total 17,10,000 Assets 1 Non-current Assets A Property, Plant and Equipment 5 7,50,000 B Intangible assets 6 75,000 2 Current Assets A Inventories 5,25,000 B Trade receivables 3,00,000 C Cash and Cash equivalents 60,000 Total 17,10,000 ADVANCED ACCOUNTING Notes to Accounts ` 1 Share Capital 6,000 Equity Shares of ` 100 each 6,00,000 5,000 6% Preference Shares of ` 100 each 5,00,000 11,00,000 2 Reserves and Surplus General reserve 1,00,000 Profit and Loss account 1,10,000 2,10,000 3 Long term borrowings 8% Debentures 1,00,000 4 Long term Provisions Retirement Gratuity Fund 60,000 5 Property, Plant and Equipment Land and Building 3,50,000 Plant and Machinery 3,00,000 Furniture and Fittings 1,00,000 7,50,000 6 Intangible Assets Patents 75,000 On 31/03/2025, Foods Ltd. acquires the business of Pickles Ltd. on the following terms: • Foods Ltd. to take over all assets (except cash) and liabilities at their book values. • Part of the Furniture and Fixtures is disposed off by Pickles Ltd. for ` 55,000 at cost. • The retirement of employees was due on 31/03/2025. A portion of ` 35,000 from Retirement Gratuity Fund was earmarked towards the payment due to them. • Foods Ltd. decided to pay for each Preference share in Pickles Ltd., ` 27 in cash and one 8% Preference share of ` 100 in Foods Ltd. • For each Equity share in Pickles Ltd., it was decided to pay ` 30 in cash and one Equity share of Foods Ltd. for ` 145. (Face value of each share of Foods Ltd. is ` 100) • Liquidation expenses of ` 22,500 paid by Pickles Ltd. were subsequently reimbursed by Foods Ltd. • The fixed assets of Pickles Ltd were not revalued for the purpose of amalgamation. You are required to pass the necessary Journal entries and also prepare Realisation Account and cash account in the books of Pickles Ltd. (14 Marks)
Subjective
5323
Question 5 (a) Birds Ltd. and its subsidiary Rooster Ltd provided the following information for the year ended 31/03/2025. Particulars Birds Ltd. (`) Rooster Ltd. (`) Equity Share Capital 10,00,000 3,00,000 Sales 28,40,000 10,40,000 Purchases (Finished Goods) 9,15,000 1,75,000 Salaries 7,75,000 3,78,000 Rent received 5,40,000 General and Administration expenses 2,81,500 1,98,000 Selling and Distribution Expenses 2,21,000 90,000 Dividend Income 1,35,000 28,000 Finished Goods Inventory on 01/04/2024 3,35,000 1,20,000 Finished Goods Inventory on 31/03/2025 7,85,000 2,90,000 Other Non-operating Income 2,38,000 57,000 Other Information: • On 1st April 2022 Birds Ltd. acquired 2,500 shares of ` 100 each fully paid up in Rooster Ltd. • Rooster Ltd. paid a dividend of 12% for the year ended 31/03/2024. The dividend was correctly accounted for by Birds Ltd. • Rooster Ltd. pays ` 11,250 per month to Birds Ltd. towards rent for the portion of premises occupied. Selling and Distribution Expenses of Rooster Ltd. include ` 15,000 received from Birds Ltd. Prepare Consolidated Profit and Loss Account of Birds Ltd. and its subsidiary Rooster Ltd. for the year ended 31/03/2025. (10 Marks) (b) Rubber Ltd. purchased 70% of shares of Tyre Ltd. on 31/03/2024 for ` 4,05,000. The following is the position of Tyre Ltd. as on that date: Particulars Amount (`) Issued share capital of Tyre Ltd. on 31/03/2024 5,00,000 Balance in Profit and Loss A/c of Tyre Ltd. on 31/03/2024 70,000 Profit earned during the year 2024-25 45,000 5% Dividend declared and paid by Tyre Ltd. for 2023-24 25,000 You are required to calculate: • The capital reserve / goodwill at the date of acquisition. ADVANCED ACCOUNTING The calculations are to be made under the following assumptions: Case (i) It is assumed that the dividend is paid out of post-acquisition profits. Case (ii) It is assumed that the dividend is received for pre-acquisition period. (4 Marks)
Subjective
5324
Question 6 EITHER (a) What are Accounting Standards? Explain the objectives of "Accounting Standards" in brief, also state the advantages of setting Accounting Standards. (4 Marks) OR (a) A machine was acquired by Zest Ltd. on 01/04/2019 for ` 60 lakhs. It had a useful life of 6 years. The machine is depreciated on straight line basis and does not carry any residual value. On 01/04/2022, the carrying value of the machine was reassessed at ` 36 lakhs. The surplus arising out of the revaluation being credited to revaluation reserve. For the year ended March 2024, conditions indicating an impairment of the existed machine and the amount recoverable ascertained to be ` 9 lakhs. You are required to calculate the loss on impairment of the machine and show how this loss is to be treated in the books of Zest Ltd. The company had followed the policy of writing down the revaluation surplus by the increased charge of depreciation resulting from the revaluation. (4 Marks) (b) Due to inadequacy of profits during the year ended 31st March, 2025, DAY Ltd proposes to declare 9% dividend out of General reserves. From the following particulars, ascertain the amount that can be utilized from the General reserves according to the Companies (Declaration of dividend) rules, 2014. ` 9,50,000, Equity Shares of ` 10 each fully paid up 95,00,000 General reserves as on 1st Apirl,2024 18,50,000 Revaluation Reserve as on 1st April,2024 4,25,000 Net profit for the year ended 31st March,2025 3,75,000 Average rate of dividend during the last 3 years has been 12.5% (4 Marks) (c) M/s Marena, having head office at Chennai has a branch at Hyderabad. The head office does wholesale trade only at cost plus 60%. The goods are sent ADVANCED ACCOUNTING to branch at the wholesale price i.e. cost plus 60%. The branch at Hyderabad is wholly engaged in retail trade and the goods are sold at cost to H.O. plus 80%. Following details are furnished for the year ended 31st March, 2025: Chennai office ` Hyderabad office ` Opening Stock 75,000 - Purchases 9,25,000 - Goods sent to branch (Cost plus 60%) 3,60,000 - Sales 10,25,000 2,70,000 Office expenses 9,000 3,000 Staff Salary 13,700 2,500 Prepare Trading and Profit and Loss Account of the head office and branch for the year ended 31st March, 2025. (6 Marks)
Subjective
5325
1. What would be the value of closing stock of Raw Material X and Finished Goods as on 31st March 2024?
MCQ
5326
2. Cost of Self Constructed Asset as per AS 10 will be ?
MCQ
5327
3. As per AS 16 what will be the amount of interest to be capitalized and amount of interest to be charged to Profit & Loss A/c ?
MCQ
5328
4. What is the carrying amount of investment as on 31st March, 2024 as per AS 13 and suggest the treatment of dividend received from P. Ltd.?
MCQ
5329
5. What is the amount to be recognized as Revenue as per AS 9 in the books of Kay Ltd. as on 31 March, 2024?
MCQ
5330
6. What will be the treatment of legal cost and claim for legal action commenced by Mr. Ravi Kumar in the Books of Kay Ltd. as on 31 March, 2024 as per AS 29?
MCQ
5331
7. What is the treatment of insolvency of Sheetal Enterprises in the Books of Kay Ltd. as on 31st March, 2024 as per AS 4?
MCQ
5332
8. P Ltd. has 60% voting right in Q Ltd. Q Ltd. has 20% voting right in R Ltd. Also, P Ltd. directly enjoys voting right of 14% in R Ltd. R Ltd. is a Listed Company and regularly supplies goods to P Ltd. The Management of R Ltd. has not disclosed its relationship with P Ltd. While preparing Financial Statements of P Ltd., which entities would you disclose as related parties with reference to AS-18?
MCQ
5333
9. A Machinery was giver on 3 years lease by a dealer of the machinery for equal annual lease rentals to yield 20% profit margin on cost of the machinery, which is Rs.3,00,000. Economic life of the machinery is 5 years, and estimated output from the machinery in 5 years is as follows: Year I 50,000 units Year II 60,000 units Year III 40,000 units Year IV 65,000 units ADVANCED ACCOUNTING Year V 85,000 units. Compute Annual Lease Rent.
MCQ
5334
10. A Ltd. had 1,50,000 shares of common stock outstanding on 1 April, 2023. Additional 50,000 shares were issued on 1 November, 2023 and 32,000 shares were bought back on 1 February, 2024. Calculate the weighted average number of shares outstanding at the year ended on 31 March, 2024 is:
MCQ
5335
11. The amount of Cash Flow from operating activity is:
MCQ
5336
13. What is the amount of closing Cash and Cash equivalents as on 1 April, 2023 ?
MCQ
5337
14. The Balance of Equity Share Capital after internal reconstruction is :
MCQ
5338
15. "Fixed Asset held for sale" will be classified in the Balance Sheet as per Schedule III of the Companies Act as:
MCQ
5339
1. Shareholders' funds (
MCQ
5340
3. Current liabilities (
MCQ
5341
2. Current assets
MCQ
5342
3. Debt Equity Ratio Test: Loans cannot be in excess of twice the Equity Funds post Buy-Back Particulars ` in thousands
MCQ
5343
2. Prepare Balance Sheet of Nice Ltd. after absorption as at 31 March, 2024. (14 Marks) ADVANCED ACCOUNTING Answer Journal Entries in the Books of Nice Ltd. Dr. Cr. ` in ‘000 ` in ‘000 Business Purchase Account Dr. 10,620 To Liquidator of Well Ltd. 10,620 (Consideration payable for the business taken over from Well Ltd.) Property, Plant and Equipment (120% of ` 16,380) Dr. 19,656 Inventory (110% of ` 870) Dr. 957 Trade receivables Dr. 1,950 Goodwill A/c (Balancing figure) Dr. 137 To Trade payables 4,850 To Debenture Holders Account 1,000 To Loan from bank (4,525-270) 4,255 To Short term borrowings 1,975 To Business Purchase Account 10,620 (Incorporation of various assets and liabilities taken over from Well Ltd. at agreed values and difference of net assets and purchase consideration debited to Goodwill A/c)) Liquidator of Well Ltd. Dr. 10,620 To Equity Share Capital (75,000x 100) 7,500 To 9% Preference Share Capital 1,620 To Securities premium (7,5000x 20) 1,500 (Discharge of consideration for Well Ltd.’s business) Debenture holders A/c Dr. 1,000 To 9% Debentures A/c (Being 9% debentures issued to 10% debenture holders) 1,000 Sundry Creditors of Well Ltd. Dr. 215 To Sundry Debtors of Nice Ltd. 215 (Cancellation of mutual owing) Goodwill Dr. 55 To Bank 55 (Being liquidation expenses reimbursed to Well Ltd.) Working Note: The purchase consideration will be: ` Form Preference shareholders: 16,200 × 100 16,20,000 9% Pref. shares Equity shareholders: 1,25,000 × 3/5 × 120 90,00,000 Equity shares 1,06,20,000 10 % Preference shares 18,00,000 Less: 10% discount 1,80,000 16,20,000 Debenture calculation Interest 10% Debenture 9,00,000 90,000 Therefore 9% debentures 90,000/9% = 10,00,000 Balance Sheet of Nice Ltd. (After absorption) as at 31st March 2024 Particulars Notes ` in ‘000 I Equity and Liabilities 1 Shareholders' funds
MCQ
5344
Question No. 11-14: 11. The amount of Cash Flow from operating activity is: (A) ` 2,000 (B) ` 5,000 (C) ` 12,000 (D) ` 15,000 ADVANCED ACCOUNTING 12 The amount of Cash Flow from investing Activity is (A) ` 28,000 (B) ` 25,000 (C) ` 15,000 (D) ` 22,000 13. What is the amount of closing Cash and Cash equivalents as on 1 April, 2023 ? (A) `1,92,500 (B) ` 92,500 (C) ` 1,27,000 (D) ` 1,98,500 14. The Balance of Equity Share Capital after internal reconstruction is : (A) ` 6,50,000 (B) ` 4,50,000 (C) ` 5,50,000 (D) ` 7,50,000 15. "Fixed Asset held for sale" will be classified in the Balance Sheet as per Schedule III of the Companies Act as: (A) Deferred Tax Assets (B) Current Asset (C) Non-Current Asset (D) Long term Investments
Subjective
5345
Question No. 1 is compulsory.
Subjective
5346
Question 1 (a) In the following cases, record Journal Entries for amortization in the books of Huge Ltd. for the year ended 31st March, 2024 with reference to AS-26: (i) The company had acquired Patent Rights for ` 340 lakhs on 01.04.2022. The estimated product life is 4 years. Amortization was decided in the ratio of estimated future cash flows which are as under: 1st Year ` 140 Lakhs 2nd Year ` 350 Lakhs 3rd Year ` 280 Lakhs 4th Year ` 420 Lakhs (ii) The company had developed know-how by incurring expenditure of ` 80 lakhs. The know-how has been used by the company since 01.04.2018. Its useful life is 8 years from the year of commencement of its use. The company has not amortised the asset until 31.03.2024. (b) Pendora Ltd. has given the following details in respect of employee benefit pension plan: Particulars Amount ` The fair value of plan assets as on 01-04-2023 5,00,000 The benefits paid out on 30-11-2023 63,000 Inward contributions received on 30-09-2023 1,42,000 The fair value of plan assets as on 31-03-2024 7,50,000 On 01.04.2023, the company made following estimates, based on its market studies and prevailing prices : Particulars % Interest and dividend income (after tax) payable by fund 10.50 Realised gains on plan assets (after tax) 2.00 Fund administrative costs -2.00 Expected rate of annual return (Interest is compounded annually) 10.50 You are required to find the expected and actual returns on plan assets as on 31.03.2024 as per AS 15. (c) Delta Ltd. is working on different projects those are likely to be completed within 3 years period. It recognizes revenue from these contracts on Percentage of Completion Method for Financial Statements for the years ending 2021, 2022 and 2023 for ` 34 Lakhs, ` 50 Lakhs and ` 65 Lakhs respectively. However, for Income Tax purpose, it has adopted the Completed Contract Method under which it has recognized revenue of ` 30 Lakhs, ` 52 Lakhs and ` 67 Lakhs for the years ending 2021, 2022 and 2023 respectively. Income Tax rate is 30%. Compute the amount of Deferred Tax Asset / Liability and Total Tax Expenses for the years ending 31st March 2021, 2022 and 2023. (4+5+5=14 Marks)
Subjective
5347
Question 2 The following is the Trial Balance of Shivam Ltd as on 31st March, 2024 : Particulars Dr. (` 000) Particulars Cr. (` 000) Land at Cost 148 Equity Share of ` 10 each 200 Plant & Machinery at Cost 520 10% Debenture of ` 100 each 135 Debtors 65 General Reserve 90 Closing Stock 58 Profit & Loss Ale 48 Bank 14 Security Premium 27 Adjusted Purchases 226 Sales 473 Factory Expenses 40 Creditors 35 Administration Expenses 22 Provision for Depreciation 116 ADVANCED ACCOUNTING Selling Expenses 20 Suspense A/c 3 Debenture Interest 14 Total 1,127 Total 1,127 Additional Information: • On 31st March, the Company issued Bonus Shares to the Shareholders on 1 : 2 basis (one equity share issued as bonus for every 2 equity shares held). No entry relating to this has yet been made. • The Authorized Share Capital of the Company is 35,000 Equity Shares of ` 10 each. • The Company, on the advice of an independent valuer, revalued the Land at ` 2,45,000. • The Directors declared a Dividend of 10% on 5th April, 2024 and also transferred profit @ 10% to General Reserve. • Suspense Account of ` 3,000 represents cash received for the Sale of some Machinery on the 1st day of the financial year 2023-24. Cost of this Machinery was ` 10,000 and Accumulated Depreciation thereon being ` 8,000. • Depreciation is to be provided on Plant & Machinery at 10% on Cost. • Provision for Income tax is required@ 30%. You are required to prepare Shivam Ltd.'s Profit and Loss A/c for the year ended 31st March, 2024 and Balance Sheet as at that date as per the provisions of the Companies Act, 2013 after considering the above information. Ignore previous year figures. (14 Marks)
Subjective
5348
Question 3 (a) On the basis of the following data, prepare Cash Flow Statement as per AS-3 for the year ended 31st March, 2024: • Total Sales for the year were ` 380 lakhs out of which Cash Sales amounted to ` 262 Lakhs. • Receipts from credit customers during the year, total ` 134 lakhs. • Total Purchases for the year amounted to ` 220 lakhs, out of which 80% were credit purchases. • Opening balance in creditors ` 84 lakhs and Closing balance in creditors ` 92 lakhs. • Suppliers of other consumables and services were paid ` 19 lakhs in cash. • Employees of the enterprise were paid ` 20 lakhs in cash. • Fully-paid preference shares of the face value of ` 32 lakhs were redeemed. • Issued equity shares of the face value of ` 20 lakhs at a premium of 20%. • Debenture of ` 20 lakhs at premium of 10% were redeemed by issuing equity shares in lieu of their claims. • ` 26 lakhs were paid by way of Income Tax. • A new machinery costing ` 20 lakhs was purchased in a part exchange of an old machinery. The book value of the old machinery was ` 13 lakhs, but the vendor agreed to take over the old machinery at a higher value of ` 15 lakhs. The balance due to vendor was paid in cash. • Dividend ` 15 lakhs (including dividend distribution tax)∗ of ` 2.7 lakhs was also paid on 30th March, 2024. • Debenture interest ` 3 lakhs was paid. • During the year ` 8 lakhs rent was received from property held as investment. • ` 0.50 lakh interest was earned on the advance payments to suppliers of Goods. • Cash and cash equivalents on 1st April 2023, ` 2 lakhs. (7 Marks) (b) Aerodots Ltd. has the following capital structure as on 31.03.2024 : Particulars Amount (` in thousands) Equity Share Capital (shares of ` 10 each) 600 Reserves: General Reserve 540 Securities Premium 200 Profit & Loss 100 Revaluation Reserve 30 Investment Allowance Reserve (Statutory Reserve) 75 Infrastructure Development Reserve 25 Loan Funds 2000 On 1st April, 2024 the company wants to buy back 14,000 equity shares of ` 10 each at ` 30 per Equity share. You are required to calculate maximum permissible number of equity shares that can be bought back. Buy Back of shares is duly authorized by its articles and necessary resolution has been passed by the company. (7 + 7 = 14 Marks) ∗PS: As per IT Act, 1961 DDT is no more applicable ADVANCED ACCOUNTING
Subjective
5349
Question 4 The following are the summarized Balance Sheets of Well Ltd. and Nice Ltd. as at 31st March, 2024 : Particulars Notes Nice Ltd. (` in '000) Well Ltd. (` in '000) Equity and Liabilities 1. Shareholder's funds a. Share capital 1 41,000 14,300 b. Reserves and Surplus 2 19,500 (7,350) 2. Non-current liabilities a. Long-term borrowings 3 20,500 5,425 3. Current Liabilities a. Trade Payables 15,740 4,850 b. Short-term Borrowings - 1,975 Total 96,740 19,200 Assets 1. Non-current Assets a. Property, plant, and equipment 4 62,550 16,380 b. Non-current Investments 22,500 - 2. Current assets a. Inventories 300 870 b. Trade Receivables 6,590 1,950 ADVANCED ACCOUNTING c. Cash and Cash equivalents 4,800 - Total 96,740 19,200 Notes to Accounts Nice Ltd. (` in '000) Well Ltd. (` in '000) 1. Share Capital Equity Share Capital Issued, subscribed & paid up capital Equity Shares of ` 100 each 31,500 12,500 Preference Share Capital Issued, subscribed & paid up capital 9% Preference Shares of ` 100 each 9,500 10% Preference Shares of ` 100 each 1,800 Total 41,000 14,300 2. Reserves and Surplus Balance of Profit and Loss A/c 19,500 (7,350) 3. Long-term borrowings 9% Debentures of ` 100 each 11,200 10% Debentures of ` 100 each 900 Loan from Banks 9,300 4,525 20,500 5,425 Details of Trade receivables and Trade payables are as under : Nice Ltd. (` in '000) Well Ltd. (` in '000) 1. Trade receivables Debtors 6,200 1,800 Bills Receivables 390 150 6,590 1,950 2. Trade payables Creditors 14,750 4,400 Bills Payables 990 450 15,740 4,850 On 31.03.2024, Nice Ltd. absorbs the business of Well Ltd. on the following terms: • For every five equity shares held by the equity shareholders of Well Ltd., they receive three equity shares of Nice Ltd. issued at a premium of ` 20 per share. • The 10% debenture-holders of Well Ltd. were to be allotted such 9% debentures in Nice Ltd. as would bring the same amount of interest. • 10% Preference Shareholders of Well Ltd. are to be paid at 10% discount by issue of 9% Preference Shares at par in Nice Ltd. • Banks agreed to waive off the loan of ` 270 thousand of Well Ltd. • Expenses of Liquidation of Well Ltd. are to be reimbursed by Nice Ltd. ` 55 thousand. • Inventory of Well Ltd. is taken over at 10% more than their book value by Nice Ltd. • Debtors of Nice Ltd. include ` 215 thousand receivables from Well Ltd. • Property, Plant, and Equipment of Well Ltd. are revalued at 20% abo their book value. • The remaining Assets and Liabilities of Well Ltd. are taken over at book value by Nice Ltd. You are required to : 1. Record Journal Entries in the books of Nice Ltd. 2. Prepare Balance Sheet of Nice Ltd. after absorption as at 31 March, 2024. (14 Marks) ADVANCED ACCOUNTING
Subjective
5350
Question 5 On 1st February, 2024, Best Ltd. acquired 80% Equity shares of Cool Ltd. for ` 14,80,000. On 31st March, 2024, Best Ltd. also acquired 25% Equity shares of Good Ltd. for ` 3,80,000. The following are the balances extracted from the books of Best Ltd., Cool Ltd., and Good Ltd. as on 31st March, 2024 : Particulars Best Ltd. Amount in ` Cool Ltd. Amount in ` Good Ltd. Amount in ` Equity Shares of ` 100 each fully paid 30,00,000 20,00,000 10,00,000 Securities Premium - 2,20,000 - 9% Debentures 6,30,000 - 2,40,000 General Reserve 2,69,000 84,000 1,20,000 Profit & Loss Account (Credit Balance) 3,26,000 2,70,000 50,000 Investments 17,50,000 6,10,000 - Property, Plant, and Equipment 18,90,000 18,14,000 12,10,000 Current Assets 9,65,000 5,60,000 2,25,000 Trade Payable (Including Bills Payable) 3,80,000 4,10,000 25,000 Sales and other income 56,00,000 38,00,000 27,00,000 Raw material consumed 36,50,000 31,20,000 22,30,000 Wages and Salaries 5,07,000 4,01,000 2,69,000 Production expenses 1,35,000 1,06,000 98,000 Additional information : • The Profit and Loss account of Cool Ltd. showed a credit balance of ` 30,000 on 1st April, 2023. • The General Reserve balance is brought forward from the previous year. • On 31st March, 2024, all the bills payable in Cool Ltd.'s balance sheet were acceptances in favour of Best Ltd. However, on the date, Best Ltd. held only ` 3,00,000 of these acceptances in hand, the rest having been endorsed in favour of its creditor. • Best Ltd. purchased goods costing ` 5,00,000 from Cool Ltd. on 1st June, 2023 at a price of ` 6,50,000. The entire goods remain unsold with Best Ltd. at the end of the financial year. • Best Ltd. is preparing Consolidated Financial Statements for the year ending 31.03.2024. You are required to calculate : (1) Trade Payable (Consolidated) (2) Current Assets (Consolidated) (3) Minority Interest (4) Goodwill/Capital Reserve on the acquisition of Cool Ltd.'s shares (5) Goodwill/Capital Reserve on the acquisition of Good Ltd.'s shares (6) Profit & Loss Account (Consolidated) (7) General Reserve (Consolidated) (8) Revenue from Operations (Consolidated) (9) Cost of material purchased/consumed (Consolidated) (14 Marks)
Subjective
5351
Question 6 (a) On 01.04.2023, Mr. Day has 25,000 shares of Squares Ltd. at a book value of ` 25 per share (nominal value of ` 10 each). Further information is as under: (i) On 31st July 2023, the Directors of Squares Ltd. issued one equity bonus share for every five shares held by the shareholders. (ii) On 30th September 2023, the Directors of Squares Ltd. announced a right issue which entitled the ·holders to subscribe three shares for every two shares at ` 20 per share. Shareholders can transfer their rights in full or in part. Mr. Day sold 1/4th of entitlement to Dhwani for a consideration of ` 5 per share and subscribed the rest on 5th October, 2023. You are required to prepare Investment A/c in the books of Mr. Day for the year ending 31.03.2024. OR (a) "In determining the cost of inventories, it is appropriate to exclude certain costs and recognise them as expenses in the period in which they are incurred." Provide examples of such costs as per AS 2 (Revised) 'Valuation of Inventories. ADVANCED ACCOUNTING (b) The following scheme of reconstruction has been approved for Equity shareholders and Debenture holders of TP Ltd. (i) The Equity shareholders to receive in lieu of their present holding of 1,50,000 shares of ` 10 each, the following : (1) For ` 50,000, equivalent cash (2) For ` 9,00,000, 10% debentures issued at premium of 20% (Face value of debenture is ` I00 each) (3) For balance ` 5,50,000, Equity shareholders agreed to accept 50,000 equity shares of ` 10 each in full settlement. (ii) 8% Debenture ` 5,00,000. Debenture holders agreed to accept Freehold property (Book value ` 3,50,000) at a valuation of ` 4,45,000 in full settlement of their claim. Pass necessary Journal Entries in the Books of TP Ltd. for the above reconstruction. Narration for Journal entries is not required to be given. (c) Following is the information of Kullu Branch of M/s Best Enterprises of Shimla for the year ending 31st March 2023 : (1) Goods are invoiced to the branch at cost plus 20% (2) Branch sold goods at invoice price plus 25%. (3) Other Information is as follows: (i) Stock (at cost price) as on 1st April, 2022 is ` 2,25,000 (ii) Goods sent by Head office to branch during the year (at cost price) are ` 14,85,000 (iii) Goods returned by Branch to Head office during the year (at Invoice price) are ` 75,000 (iv) Sales by the branch during the year ` 19,50,000 (v) Expenses incurred at Branch ` 56,000. You are required to ascertain the following: (a) Profit earned by the Branch by Preparing Trading and profit and loss account for the year ended 31st March 2023 (b) Also find the stock reserve on Closing stock (4 + 6 + 6 = 14 Marks)
Subjective

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