A sum of money is to be distributed among A, B, C, D in the proportion of 5:2:4:3 . If C gets ₹1000 more than D , what is B 's share?

Option c: ₹2,000. Solution: Let the shares of A, B, C, and D be represented as 5x , 2x , 4x , and 3x respectively, where x is a common ratio constant. According to the problem, C gets ₹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 find the share of B , which is represented by 2x : B's share = 2x = 2 × 1000 = ₹2,000 This mathematically corresponds to Option C. Note: The textbook answer key lists Option A ( ₹2,500 ) as the correct answer. However, the algebraic calculation clearly shows that B 's share is ₹2,000 (Option C). This is a known typographical discrepancy in the source material. Hence, Option C is the correct answer.

A sum of money is to be distributed among $A, B, C, D$ in the proportion of $5:2:4:3$. If $C$ gets $₹1000$ more than $D$, what is $B$'s share?

The correct answer is Option c: $₹2,000$. Let the shares of $A, B, C,$ and $D$ be represented as $5x$, $2x$, $4x$, and $3x$ respectively, where $x$ is a common ratio constant. According to the problem, $C$ gets $₹1000$ 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 find the share of $B$, which is represented by $2x$: $$B\text{'s share} = 2x = 2 \times 1000 = ₹2,000$$ This mathematically corresponds to **Option C**. Note: The textbook answer key lists **Option A** ($₹2,500$) as the correct answer. However, the algebraic calculation clearly shows that $B$'s share is $₹2,000$ (Option C). This is a known typographical discrepancy in the source material. Hence, **Option C** is the correct answer.

Ratio, Proportion, Indices, LogarithmMCQMTP Jun 23 - Series IQuestion 855 of 305

All Questions

A sum of money is to be distributed among $\displaystyle A, B, C, D$ in the proportion of $\displaystyle 5:2:4:3$ . If $\displaystyle C$ gets $\displaystyle ₹1000$ more than $\displaystyle D$ , what is $\displaystyle B$ 's share?

Options

\displaystyle ₹2,500

\displaystyle ₹1,500

\displaystyle ₹2,000

\displaystyle ₹1,000

For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option c — $\displaystyle ₹2,000$

All Options:

A $\displaystyle ₹2,500$
B $\displaystyle ₹1,500$
C $\displaystyle ₹2,000$
D $\displaystyle ₹1,000$

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 ratio constant.
According to the problem,

\displaystyle C

gets

\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 find the share of

\displaystyle B

, which is represented by

\displaystyle 2x

B\text{'s share} = 2x = 2 \times 1000 = ₹2,000

This mathematically corresponds to **Option C**.
Note: The textbook answer key lists **Option A** (

\displaystyle ₹2,500

) as the correct answer. However, the algebraic calculation clearly shows that

\displaystyle B

's share is

\displaystyle ₹2,000

(Option C). This is a known typographical discrepancy in the source material.
Hence, **Option C** 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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A sum of money is to be distributed among A,B,C,D\displaystyle A, B, C, DA,B,C,D in the proportion of 5:2:4:3\displaystyle 5:2:4:35:2:4:3. If C\displaystyle CC gets ₹1000\displaystyle ₹1000₹1000 more than D\displaystyle DD, what is B\displaystyle BB's share?