Ratio, Proportion, Indices, LogarithmMCQMTP Jun 23 - Series IQuestion 856 of 302
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Four persons $A, B, C, D$ wish to share a sum in the ratio of $5:2:4:3.If\displaystyle . IfDgets\displaystyle gets₹1000lessthan\displaystyle less thanC$, then the share of $B$?

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

✅ Option a — $2000$

All Options:

  • A$2000$
  • B$1200$
  • C$2400$
  • D$3000$

Detailed Solution & Explanation

Let the shares of $A, B, C,$ and D\displaystyle D be represented as $5x\displaystyle , $2x, $4x$, and $3x$ respectively, where x\displaystyle x is a common constant.
According to the problem, D\displaystyle D gets ₹1000\displaystyle ₹1000 less than C\displaystyle C (which is equivalent to C\displaystyle C getting ₹1000\displaystyle ₹1000 more than D\displaystyle D):
C−D=1000C - D = 1000
Substitute the expressions for C\displaystyle C and D\displaystyle D in terms of x\displaystyle x:
4x−3x=10004x - 3x = 1000
x=1000x = 1000
Now, we can calculate the share of B\displaystyle B which is represented by $2x$:
B’s share=2x=2×1000=2000B\displaystyle \text{'s share} = 2x = 2 ×\displaystyle \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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