Ratio, Proportion, Indices, LogarithmMCQMTP Nov 19Question 819 of 305
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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

Options

A2:3\displaystyle 2:3
B3:2\displaystyle 3:2
C4:5\displaystyle 4:5
D5:4\displaystyle 5:4
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Correct Answer

Option a2:3\displaystyle 2:3

All Options:

  • A2:3\displaystyle 2:3
  • B3:2\displaystyle 3:2
  • C4:5\displaystyle 4:5
  • D5:4\displaystyle 5:4

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Detailed Solution & Explanation

Let the earnings of the two persons be 3x\displaystyle 3x and 2x\displaystyle 2x.
Each person saves 15th\displaystyle \frac{1}{5}\text{th} of their earnings:
- Savings of first person =15×3x=35x\displaystyle = \frac{1}{5} \times 3x = \frac{3}{5}x
- Savings of second person =15×2x=25x\displaystyle = \frac{1}{5} \times 2x = \frac{2}{5}x
The ratio of their savings is:
Savings Ratio=35x:25x=3:2\text{Savings Ratio} = \frac{3}{5}x : \frac{2}{5}x = 3 : 2

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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