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Official PYQ · 2024Set 1 · Q4MCQ1 mark

GATE CS 2024 Set 1 Q4 — General Aptitude

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​​​​The number of coins of ₹11, ₹55, and ₹1010 denominations that a person has are in the ratio 5:3:135:3:13. Of the total amount, the percentage of money in ₹55 coins is

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Answer: C

Let the number of coins of ₹11, ₹55, and ₹1010 denominations be 5x5x, 3x3x, and 13x13x respectively, where xx is a positive constant.

We can calculate the monetary value contributed by each denomination as follows:

  • Value of ₹11 coins = 1×5x=5x1 \times 5x = 5x
  • Value of ₹55 coins = 5×3x=15x5 \times 3x = 15x
  • Value of ₹1010 coins = 10×13x=130x10 \times 13x = 130x

The total amount of money is the sum of these values:

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

The percentage of money in ₹55 coins is given by:

Percentage=(Value of ₹5 coinsTotal Amount)×100\text{Percentage} = \left( \frac{\text{Value of ₹5 coins}}{\text{Total Amount}} \right) \times 100 Percentage=(15x150x)×100=110×100=10%\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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