Four persons A, B, C, D wish to share a sum in the ratio of 5:2:4:3 . If D gets ₹1000 less than C , then the share of B ?

Option a: 2000. Solution: Let the shares of A, B, C, and D be represented as 5x , 2x , 4x , and 3x respectively, where x is a common constant. According to the problem, D gets ₹1000 less than C (which is equivalent to C getting ₹1000 more than D ): C - D = 1000 Substitute the expressions for C and D in terms of x : 4x - 3x = 1000 x = 1000 Now, we can calculate the share of B which is represented by 2x : B's share = 2x = 2 × 1000 = 2000 This perfectly matches Option A. Hence, Option A is the correct answer.

Four persons $A, B, C, D$ wish to share a sum in the ratio of $5:2:4:3$. If $D$ gets $₹1000$ less than $C$, then the share of $B$?

The correct answer is Option a: $2000$. Let the shares of $A, B, C,$ and $D$ be represented as $5x$, $2x$, $4x$, and $3x$ respectively, where $x$ is a common constant. According to the problem, $D$ gets $₹1000$ less than $C$ (which is equivalent to $C$ getting $₹1000$ more than $D$): $$C - D = 1000$$ Substitute the expressions for $C$ and $D$ in terms of $x$: $$4x - 3x = 1000$$ $$x = 1000$$ Now, we can calculate the share of $B$ which is represented by $2x$: $$B\text{'s share} = 2x = 2 \times 1000 = 2000$$ This perfectly matches **Option A**. Hence, **Option A** is the correct answer.

Ratio, Proportion, Indices, LogarithmMTP Jun 23 - Series IQuestion 856 of 220

All Questions

Four persons $\displaystyle A, B, C, D$ wish to share a sum in the ratio of $\displaystyle 5:2:4:3$ . If $\displaystyle D$ gets $\displaystyle ₹1000$ less than $\displaystyle C$ , then the share of $\displaystyle B$ ?

Options

\displaystyle 2000

\displaystyle 1200

\displaystyle 2400

\displaystyle 3000

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Correct Answer

✅ Option a — $\displaystyle 2000$

All Options:

A $\displaystyle 2000$
B $\displaystyle 1200$
C $\displaystyle 2400$
D $\displaystyle 3000$

Detailed Solution & Explanation

Let the shares of

\displaystyle A, B, C,

and

\displaystyle D

be represented as

\displaystyle 5x

\displaystyle 2x

\displaystyle 4x

, and

\displaystyle 3x

respectively, where

\displaystyle x

is a common constant.
According to the problem,

\displaystyle D

gets

\displaystyle ₹1000

less than

\displaystyle C

(which is equivalent to

\displaystyle C

getting

\displaystyle ₹1000

more than

\displaystyle D

C - D = 1000

Substitute the expressions for

\displaystyle C

and

\displaystyle D

in terms of

\displaystyle x

4x - 3x = 1000

x = 1000

Now, we can calculate the share of

\displaystyle B

which is represented by

\displaystyle 2x

B\text{'s share} = 2x = 2 \times 1000 = 2000

This perfectly matches **Option A**.
Hence, **Option A** is the correct answer.

About This Chapter: Ratio, Proportion, Indices, Logarithm

Paper

Paper 3: Quantitative Aptitude

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.

View Official ICAI Syllabus

Exam Strategy Tip

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

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Four persons A,B,C,D\displaystyle A, B, C, DA,B,C,D wish to share a sum in the ratio of 5:2:4:3\displaystyle 5:2:4:35:2:4:3. If D\displaystyle DD gets ₹1000\displaystyle ₹1000₹1000 less than C\displaystyle CC, then the share of B\displaystyle BB?