A money bag contains one rupee, 5 rupee and 10 rupee coins in the ratio of 3 : 5 : 7 respectively. If the total amount in the bag is ₹980, then find the number of coins of ₹10.

Question

Accepted Answer

Let the number of 1 rupee, 5 rupee, and 10 rupee coins be 3x, 5x, and 7x respectively (since their ratio is 3:5:7).

Total value = (number of coins) × (value per coin):
= (3x × 1) + (5x × 5) + (7x × 10)
= 3x + 25x + 70x
= (3 + 25 + 70)x
= 98x

We are told the total value is ₹980:
98x = 980
x = 980 / 98
x = 10

So, the number of ₹10 coins = 7x = 7 × 10 = 70.

Therefore, the answer is 70.

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Answer

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