Question
A bag contains 10-paisa, 20-paisa and 50-paisa coins in
the ratio of 8:6:7, respectively. If the total amount in the bag is Rs. 44, then find 25% of the number of 20-paisa coins in the bag.Solution
Let number of 10 paisa, 20 paisa and 50 paisa coins be ‘8x’, ‘6x’ and ‘7x’, respectively. ATQ, (0.1 × 8x) + (0.2 × 6x) + (0.5 × 7x) = 44 Or, 0.8x + 1.2x + 3.5x = 44 Or, 5.5x = 44 So, x = 8 So, number of 20 paisa coins = 6x = 48 Therefore, required number of coins = 0.25 × 48 = 12
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