Ratio, Proportion, Indices, LogarithmMCQMTP Nov 20Question 824 of 305
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A bag contains Rs.187\displaystyle \text{Rs.} 187 in the form 1\displaystyle 1 rupee, 50\displaystyle 50 paise and 10\displaystyle 10 paise coins in the ratio 3:4:5\displaystyle 3:4:5. Find the number of each type of coins.

Options

A102,136,170\displaystyle 102, 136, 170
B136,102,170\displaystyle 136, 102, 170
C170,102,136\displaystyle 170, 102, 136
DNone of these
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Correct Answer

Option c170,102,136\displaystyle 170, 102, 136

All Options:

  • A102,136,170\displaystyle 102, 136, 170
  • B136,102,170\displaystyle 136, 102, 170
  • C170,102,136\displaystyle 170, 102, 136
  • DNone of these

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Detailed Solution & Explanation

Let the number of 1 rupee, 50 paise, and 10 paise coins be represented as 3x\displaystyle 3x, 2x\displaystyle 2x (wait, ratio is 3:4:5\displaystyle 3:4:5 so 4x\displaystyle 4x), and 5x\displaystyle 5x respectively.
The values in rupees are 1.00\displaystyle ₹1.00, 0.50\displaystyle ₹0.50, and 0.10\displaystyle ₹0.10.
The total amount is 187\displaystyle ₹187:
3x(1.00)+4x(0.50)+5x(0.10)=1873x(1.00) + 4x(0.50) + 5x(0.10) = 187
3x+2x+0.5x=1873x + 2x + 0.5x = 187
5.5x=187    x=1875.5=345.5x = 187 \implies x = \frac{187}{5.5} = 34
The number of each type of coins is:
- 1 Rupee coins: 3x=3(34)=102\displaystyle 3x = 3(34) = 102
- 50 Paise coins: 4x=4(34)=136\displaystyle 4x = 4(34) = 136
- 10 Paise coins: 5x=5(34)=170\displaystyle 5x = 5(34) = 170

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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