Question
A bag contains 1 rupee coins, 2 rupee coins and 5 rupee
coins in the ratio 4:5:8. If the total amount in the bag is Rs 1,080, find the number of coins of 5 rupee coins?Solution
Ratio of number of 1 rupee coins, 2 rupee coins and 5 rupee coins = 4 : 5 : 8 Let the number of 1 rupee coins = 4x Number of 2 rupee coins = 5x Number of 5 rupee coins = 8x According to the question, Total amount = Rs. 1080 So, 4x × 1 + 5x × 2 + 8x × 5 = 1080 4x + 10x + 40x = 1080 54x = 1080 x = 1080 ÷ 54 = 20 So, number of 5 rupee coins = 8x = 8 × 20 = 160
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