Question

A bag contains 25-paisa and 50-paisa coins whose total value is 30. If the number of
25-paisa coins is four times that of 50-paisa coins, find the number of each type of
coins.​

Answer 1

Value of 25 paisa and 50 paisa coins = ₹30

₹1 = 100paisa

₹30 = 30×100 = 3000 paisa

Total number of 25 paisa coins = 4x

Total number of 50 paisa coins = x

Value of 25 paisa coins = 25 × 4x = 100x

Value of 50 paisa coins = 50 × x = 50x

therefore,

100x + 50x = 3000

150x = 3000

x = $\frac{3000}{150}$

x = 20

Hence the number of:

25 paisa coins = 4(20) = 80 coins

50 paisa coins = 20

VERIFICATION:

Value of 25 paisa coins = 25(80) = 2000 paisa

Value of 50 paisa coins = 50(20) = 1000 paisa

Total = 3000 paisa

100 paisa = ₹1

3000 paisa = ₹30

Hence verified.

Hope it helps

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