Question
The ratio of the number of coins of 25 paise, 50 paise,
Rs.2 and Rs.5 is 5 ∶ 4 ∶ 3 ∶ 1, respectively. If the total amount of the coins is Rs.285, then the difference between the number of 25 paise and Rs.5 coins is:Solution
ATQ, The ratio of the number of coins of 25 paise, 50 paise, Rs.2, and Rs.5 = 5:4:3:1 The ratio of the value of coins of 25 paise, 50 paise, Rs.2, and Rs.55 = [(5/4) : (4/2) : (3 × 2) : (1 × 5)] = (5/4) : 2 : 6 : 5 = 5 : 8 : 24 : 20 Let the common multiple be 'x'. The value of 25 paise coins = 5x The value of 50 paise coins = 8x The value of Rs 2 coins = 24x The value of Rs 5 coins = 20x Total value = 5x + 8x + 24X + 20x = 57x But the total amount is given as Rs. 285 So, 57x = 285 or x = 5 The value of 25 paise coins = 5 × 5 = Rs 25 The number of 25 paise coins = 25 × 4 = 100 coins The value of Rs 5 coins = 20 × 5 = Rs 100 The number of Rs 5 coins = 100/5 = 20 coins Therefore, the difference between the number of 25 paise and Rs 5 coins is = 100 - 20 = 80 coins
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