Ratio, Proportion, Indices, LogarithmMCQPYQ July 21Question 797 of 302
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The salaries of A, B and C are in the ratio $2:3:5\displaystyle . If increments of $15\%, $10\%\displaystyle and $20\% are allowed respectively to their salary, then what will be the new ratio of their salaries?

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Correct Answer

✅ Option a — $23:33:60$

All Options:

  • A$23:33:60$
  • B$33:23:60$
  • C$23:80:33$
  • D$33:60:23$

Detailed Solution & Explanation

Let the salaries of A\displaystyle A, B\displaystyle B, and C\displaystyle C be $2x\displaystyle , &#36;3x, and $5x\displaystyle respectively.<br>After receiving increments of &#36;15\%, $10\%\displaystyle , and &#36;20\%, their new salaries are:
- New salary of A=2x+15% of 2x=2x×1.15=2.3x\displaystyle A = 2x + 15\%  of \displaystyle \text{ of } 2x = 2x ×\displaystyle \times 1.15 = 2.3x
- New salary of B=3x+10% of 3x=3x×1.10=3.3x\displaystyle B = 3x + 10\%  of \displaystyle \text{ of } 3x = 3x ×\displaystyle \times 1.10 = 3.3x
- New salary of C=5x+20% of 5x=5x×1.20=6x\displaystyle C = 5x + 20\%  of \displaystyle \text{ of } 5x = 5x ×\displaystyle \times 1.20 = 6x
The new ratio of their salaries is:
2.3x:3.3x:6x=23:33:602.3x : 3.3x : 6x = 23 : 33 : 60

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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