Question
A piggy bank holds 10-paise, 20-paise, and 50-paise coins in the ratio of 17:19:8. If the total value of all the coins combined is Rs. 2280, determine the number of 20-paise coins in the piggy bank.
Solution
Let number of 10-paise, 20-paise and 50-paise in the piggy bank is 17x, 19x and 8x respectively.
So, 17x/10 + 19x/5 + 8x/2 = 2280
Or, 1.7x + 3.8x + 4x = 2280
Or, 9.5x = 2280
Or, x = 240
So, number of 20-paise coins in the piggy bank = 240 × 19 = 4560
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