Computer Sciences > Gate 2024 Set-1 > Percentage
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(2/7) %
C
10%
D
30%

Correct : c

Ratio of number of coins = 5 : 3 : 13

Let the number of coins be:
₹1 coins = 5k
₹5 coins = 3k
₹10 coins = 13k

Total value from each denomination:
Value from ₹1 coins = 5k × 1 = ₹5k
Value from ₹5 coins = 3k × 5 = ₹15k
Value from ₹10 coins = 13k × 10 = ₹130k

Total amount:
Total = 5k + 15k + 130k = ₹150k

Percentage from ₹5 coins:
Percentage = (15k / 150k) × 100
Percentage = (15 / 150) × 100
Percentage = (1 / 10) × 100
Percentage = 10%

Answer: C) 10%

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