Question:
The number of coins of Rs.1, Rs.5, and Rs.10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in Rs.5 coins is:
The number of coins of Rs.1, Rs.5, and Rs.10 denominations that a person has are in the ratio 5:3:13. Of the total amount, the percentage of money in Rs.5 coins is:
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To find the percentage of a specific denomination, calculate its contribution to the total value and multiply by 100.
Updated On: Jan 22, 2025
- \( 21\% \)
- \( 14\frac{2}{7}\% \)
- \( 10\% \)
- \( 30\% \)
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The Correct Option is C
Solution and Explanation
Let the number of coins be proportional to \( 5x, 3x, 13x \).
Total amount: \[ 5x \cdot 1 + 3x \cdot 5 + 13x \cdot 10 = 5x + 15x + 130x = 150x. \]
Value contributed by Rs.5 coins: \[ 3x \cdot 5 = 15x. \]
Percentage of total amount: \[ \frac{15x}{150x} \times 100 = 10\%. \] Final Answer: \[ \boxed{10\%} \]
Total amount: \[ 5x \cdot 1 + 3x \cdot 5 + 13x \cdot 10 = 5x + 15x + 130x = 150x. \]
Value contributed by Rs.5 coins: \[ 3x \cdot 5 = 15x. \]
Percentage of total amount: \[ \frac{15x}{150x} \times 100 = 10\%. \] Final Answer: \[ \boxed{10\%} \]
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