Ratio, Proportion, Indices, LogarithmMCQMTP June 24 Series IIQuestion 866 of 305
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A bag contains coins of denominations 1\displaystyle 1 rupee, 2\displaystyle 2 rupee and 5\displaystyle 5 rupees. Their numbers are in the ratio 4:3:2\displaystyle 4:3:2. If bag has total of Rs. 1800\displaystyle 1800 then find the number of 2\displaystyle 2 rupee coins.

Options

A270\displaystyle 270
B230\displaystyle 230
C180\displaystyle 180
D210\displaystyle 210
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Correct Answer

Option a270\displaystyle 270

All Options:

  • A270\displaystyle 270
  • B230\displaystyle 230
  • C180\displaystyle 180
  • D210\displaystyle 210

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Detailed Solution & Explanation

Let the number of 1-rupee, 2-rupee, and 5-rupee coins be represented as 4x\displaystyle 4x, 3x\displaystyle 3x, and 2x\displaystyle 2x respectively.
The total value of these coins is the sum of the products of their numbers and their denominations:
Total Value=(4x×1)+(3x×2)+(2x×5)\text{Total Value} = (4x \times 1) + (3x \times 2) + (2x \times 5)
Total Value=4x+6x+10x=20x\text{Total Value} = 4x + 6x + 10x = 20x
We are given that the total value of all coins in the bag is 1800\displaystyle ₹1800:
20x=180020x = 1800
x=180020=90x = \frac{1800}{20} = 90
Now, we can find the number of 2-rupee coins, which is represented by 3x\displaystyle 3x:
Number of 2-rupee coins=3x=3×90=270\text{Number of 2-rupee coins} = 3x = 3 \times 90 = 270
This 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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