Question
A purse has 10p, 20p and 50p coins in the ratio 9 : 6 :
5. If the total value is Rs. 55.20, find 75% of the number of 50p coins.Solution
Let counts of 10p, 20p and 50p coins be 9x, 6x and 5x. Total value: (0.1×9x) + (0.2×6x) + (0.5×5x) = 55.20 ⇒ 0.9x + 1.2x + 2.5x = 55.20 ⇒ 4.6x = 55.20 ⇒ x = 12 Number of 50p coins = 5x = 60 Required = 75% of 60 = 0.75×60 = 45
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