Bansal has 7 times as many two-rupee coins as he has five-rupee coins. If he has in all a sum of rupees 95, how many coins of each denomination does he have?

Bansal has 7 times as many two-rupee coins as he has five-rupee coins. If he has in all a sum of rupees 95, how many coins of each denomination does he have? Correct Answer 15 two-rupee and 5 five-rupee

Let the number of five-rupee coins with Bansal be x. Then the number of two-rupee coins will be 7x. The amount from (i) Five-rupee coins = 5x (ii) Two-rupee coins = 2x × 7 = 14x Hence the total amount with Bansal is 19x. ∴ 19x = 95 ∴ x = 5 Thus, the number of five-rupee coin = 5 and number of two-rupees coin = 15.
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