Question

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:

• A. \( 21\% \)
• B. \( 14 \frac{2}{7}\% \)
• C. \( 10\% \)
• D. \( 30\% \)

Hint:

When solving ratio problems involving percentages, first determine the individual values based on the ratio, then compute the required percentage by dividing the specific value by the total and multiplying by 100.

Answer 1

The Correct Option is C

Step 1: Determine the total value of coins.
The number of coins of ₹1, ₹5, and ₹10 denominations are in the ratio 5:3:13. Let the number of coins be \( 5x, 3x, \) and \( 13x \), respectively. The value of the coins is: - ₹1 coins: \( 5x \times 1 = 5x \) - ₹5 coins: \( 3x \times 5 = 15x \) - ₹10 coins: \( 13x \times 10 = 130x \) Total value of all coins: \[ 5x + 15x + 130x = 150x \] Step 2: Calculate the percentage of money in ₹5 coins.
The total value of ₹5 coins is \( 15x \). The percentage of money in ₹5 coins is given by: \[ \text{Percentage} = \left( \frac{\text{Value of ₹5 coins}}{\text{Total value}} \right) \times 100 = \left( \frac{15x}{150x} \right) \times 100 = 10\%. \] Conclusion: The percentage of money in ₹5 coins is \( 10\% \).