Ratio, Proportion, Indices, LogarithmMCQPYQ June 22Question 803 of 305
All Questions

A box contains 25\displaystyle 25 paise coins and 10\displaystyle 10 paise coins and 5\displaystyle 5 paise coins in ratios 3:2:1\displaystyle 3:2:1 and total money is ₹40\displaystyle ₹40. How many 5\displaystyle 5 paise coins are there?

Options

A65\displaystyle 65
B55\displaystyle 55
C40\displaystyle 40
D50\displaystyle 50
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Correct Answer

✅ Option c — 40\displaystyle 40

All Options:

  • A65\displaystyle 65
  • B55\displaystyle 55
  • C40\displaystyle 40
  • D50\displaystyle 50

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Detailed Solution & Explanation

Let the number of coins of 25 paise, 10 paise, and 5 paise be represented as 3x\displaystyle 3x, 2x\displaystyle 2x, and 1x\displaystyle 1x respectively.
The monetary values of the coins are ₹0.25\displaystyle ₹0.25, ₹0.10\displaystyle ₹0.10, and ₹0.05\displaystyle ₹0.05 respectively.
The total money in the box is ₹40\displaystyle ₹40:
3x(0.25)+2x(0.10)+x(0.05)=403x(0.25) + 2x(0.10) + x(0.05) = 40
0.75x+0.20x+0.05x=400.75x + 0.20x + 0.05x = 40
1.00x=40  ⟹  x=401.00x = 40 \implies x = 40
The number of 5 paise coins in the box is x=40\displaystyle x = 40.

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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