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 $2x : B's share = 2x = 2 × 1000 = ₹2,000 This mathematically corresponds to Option C. Note: The textbook answer key lists Option A ( ₹2,500 ) as the correct answer. However, the algebraic calculation clearly shows that B 's share is ₹2,000$ (Option C). This is a known typographical discrepancy in the source material. Hence, Option C is the correct answer.

Ratio, Proportion, Indices, LogarithmMCQMTP Jun 23 - Series IQuestion 855 of 302

All Questions

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

Select Your Answer (Keyboard: A, B, C, D)

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 $A, B, C,$ and

\displaystyle D

be represented as $5x

\displaystyle , &#36;2x

, $4x$, and $3x$ 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 $2x

\displaystyle \text{&amp;̲#x27;s share}

=…" style="color:#cc0000">\displaystyle : <math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mi>B</mi><mtext>’s share</mtext><mo>=</mo><mn>2</mn><mi>x</mi><mo>=</mo><mn>2</mn><mo>×</mo><mn>1000</mn><mo>=</mo><mtext>₹</mtext><mn>2</mn><mo separator="true">,</mo><mn>000</mn></mrow><annotation encoding="application/x-tex">B

\displaystyle \text{&amp;#x27;s share} = 2x = 2

\displaystyle \times

1000 = ₹2,000</annotation></semantics></math>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.

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 $A, B, C, D$ in the proportion of $5:2:4:3.If\displaystyle . If.IfCgets\displaystyle getsgets₹1000morethan\displaystyle more thanmorethanD$, what is $B$'s share?