The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in ₹5 coins is

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Solution

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Official answer: C) 10%

Quantitative Aptitude

Let the number of coins of denominations ₹1, ₹5, and ₹10 be $5x$ , $3x$ , and $13x$ , respectively, where $x > 0$ .

Calculate the monetary value contributed by each denomination:

Value of ₹1 coins $= 5x \times 1 = ₹5x$
Value of ₹5 coins $= 3x \times 5 = ₹15x$
Value of ₹10 coins $= 13x \times 10 = ₹130x$

The total amount of money is:

\text{Total Amount} = 5x + 15x + 130x = 150x

The percentage of the total amount that is in ₹5 coins is:

\text{Percentage} = \left( \frac{15x}{150x} \right) \times 100\% = \frac{1}{10} \times 100\% = 10\%

Hence, the correct option is (C).

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This Quantitative Aptitude previous year question is Q4 of the GATE CSE 2024 Set 1 paper. Find more GATE CSE PYQs on Quantitative Aptitude in General Aptitude, or browse all GATE CSE PYQs.

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Quantitative Aptitude has 53 GATE CSE PYQs across 13 papers from 2011 to 2026. 26 of them are 1-mark MCQs like this one, and GATE CSE 2024 Set 1 has 5.

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