The number of coins of ₹1, ₹5, and ₹10 denominations that a person has are in…

2024

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

  1. A.

    21%

  2. B.

    \(14 \frac{2}{7}\% \)

  3. C.

    10%

  4. D.

    30%

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Correct answer: C

Solution: Compute the percentage of the total monetary value contributed by the ₹5 coins.

  1. Let the number of ₹1, ₹5, and ₹10 coins be 5x, 3x, and 13x respectively.

  2. Total amount = 1·5x + 5·3x + 10·13x = 5x + 15x + 130x = 150x.

  3. Amount in ₹5 coins = 5 · 3x = 15x.

  4. Percentage = (15x / 150x) × 100 = 10%.

  5. Therefore, the percentage of the total amount that is in ₹5 coins is 10%.

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