Question
A bag contains 10-paisa, 20-paisa and 50-paisa coins in
the ratio of 9:8:10, respectively. If the total amount in the bag is Rs. 150, then find 50% of the number of 20-paisa coins in the bag.Solution
Let number of 10 paisa, 20 paisa and 50 paisa coins be ‘9x’, ‘8x’ and ‘10x’, respectively. ATQ, (0.1 × 9x) + (0.2 × 8x) + (0.5 × 10x) = 150 Or, 0.9x + 1.6x + 5x = 150 Or, 7.5x = 150 So, x = 20 So, number of 20 paisa coins = 8x = 160 Therefore, required number of coins = 0.5 × 160 = 80
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