A bag contains coins of denominations 1 rupee, 2 rupee and 5 rupees. Their numbers are in the ratio $4:3:2 . If bag has total of Rs. $1800 then find the number of 2 rupee coins.

Option a: $270$. Solution: Let the number of 1-rupee, 2-rupee, and 5-rupee coins be represented as $4x , $3x , and $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) Total Value = 4x + 6x + 10x = 20x We are given that the total value of all coins in the bag is ₹1800 : 20x = 1800 x = 1800/20 = 90 Now, we can find the number of 2-rupee coins, which is represented by $3x : Number of 2-rupee coins = 3x = 3 × 90 = 270 This matches Option A. Hence, Option A is the correct answer.

A bag contains coins of denominations 1 rupee, 2 rupee and 5 rupees. Their numbers are in the ratio $4:3:2 . If bag has total of Rs. $1800 then find the number of 2 rupee coins.

The correct answer is Option a: $270$. Let the number of 1-rupee, 2-rupee, and 5-rupee coins be represented as $4x , $3x , and $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) Total Value = 4x + 6x + 10x = 20x We are given that the total value of all coins in the bag is ₹1800 : 20x = 1800 x = 1800/20 = 90 Now, we can find the number of 2-rupee coins, which is represented by $3x : Number of 2-rupee coins = 3x = 3 × 90 = 270 This matches Option A. Hence, Option A is the correct answer.

Ratio, Proportion, Indices, LogarithmMCQMTP June 24 Series IIQuestion 866 of 302

All Questions

A bag contains coins of denominations $\displaystyle 1$ rupee, $\displaystyle 2$ rupee and $\displaystyle 5$ rupees. Their numbers are in the ratio $4:3:2$. If bag has total of Rs. $1800$ then find the number of $\displaystyle 2$ rupee coins.

Select Your Answer (Keyboard: A, B, C, D)

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Correct Answer

✅ Option a — $270$

All Options:

A$270$
B$230$
C$180$
D$210$

Detailed Solution & Explanation

Let the number of 1-rupee, 2-rupee, and 5-rupee coins be represented as $4x

\displaystyle , &#36;3x

, and $2x

\displaystyle respectively.<br>The total value of these coins is the sum of the products of their numbers and their denominations:<br><span class="katex-display"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><semantics><mrow><mtext>Total Value</mtext><mo>=</mo><mo stretchy="false">(</mo><mn>4</mn><mi>x</mi><mo>×</mo><mn>1</mn><mo stretchy="false">)</mo><mo>+</mo><mo stretchy="false">(</mo><mn>3</mn><mi>x</mi><mo>×</mo><mn>2</mn><mo stretchy="false">)</mo><mo>+</mo><mo stretchy="false">(</mo><mn>2</mn><mi>x</mi><mo>×</mo><mn>5</mn><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">

₹1800

\displaystyle \frac{1800}{20} = 90

Number of 2-rupee coins = 3 x = 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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A bag contains coins of denominations 1\displaystyle 11 rupee, 2\displaystyle 22 rupee and 5\displaystyle 55 rupees. Their numbers are in the ratio $4:3:2$. If bag has total of Rs. $1800$ then find the number of 2\displaystyle 22 rupee coins.