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
Options:
(A) 21%
(B) 14 2/7 %
(C) 10%
(D) 30%
Official Answer Key:
C
Step-by-Step Solution & Explanation
Let the numbers of coins be 5x, 3x and 13x.
Value of each denomination:
₹1 coins: 5x × 1 = 5x
₹5 coins: 3x × 5 = 15x
₹10 coins: 13x × 10 = 130x
Total amount = 5x + 15x + 130x = 150x
Percentage in ₹5 coins = (15x/150x) × 100 = 10%
Trap: option (B) 14 2/7 % is the percentage of the number of coins (3/21), not of the money.
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