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A bag contains 50p, 25p and 10p coins in the ratio 12 : 8 : 13 amounting to Rs. 186. Find the number of coins of each type.


1. 120, 180, 130
2. 480, 320, 520
3. 260, 160, 240
4. 240, 160, 260

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Correct Answer - Option 4 : 240, 160, 260

Let x be the common multiple.

The ratio of the number of coins of each type = 12 : 8 : 13

So, the number of 50p coins is 12x, the number of 25p coins is 8x and the number of 10p coins is 13x.

According to the question:

(0.50 × 12x + 0.25 × 8x + 0.10 × 13x) = 186 (Here paise is converted to rupees because the total amount is given in terms of rupees)

(6x + 2x + 1.3x) = 186

9.3x = 186

x = 20

Number of 50p coins = 12x = 12 × 20 = 240

Number of 25p coins = 8x = 8 × 20 = 160

Number of 10p coins = 13x = 13 × 20 = 260

Hence, “240, 160, 260” is the correct answer.

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