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
Answer
(C)
Explanation
Take the coin counts as 5, 3 and 13; multiplying all three by the same factor would not change the percentage. The money held in each kind of coin is:
- ₹1 coins: 5 × ₹1 = ₹5
- ₹5 coins: 3 × ₹5 = ₹15
- ₹10 coins: 13 × ₹10 = ₹130
The total is ₹150, so the share in ₹5 coins is \(\frac{15}{150} \times 100 = 10\%\).
Option B, \(14\frac{2}{7}\%\), is the share of ₹5 coins by count (3 out of 21 coins), not by value.
Answer: C