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प्रश्न
A bag contains ₹ 102 in the form of ₹ 1,50 paise and 25 paise coins in the ratio of 16 : 5 : 28. Find the number of coins of each kind.
योग
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उत्तर
Total money = ₹ 102
Coin types:
₹ 1 coins
50 paise coins
25 paise coins
Their ratio: 16 : 5 : 28
Let the number of coins be:
16x, 5x, 28x
Convert all values into paise
₹ 102 = 102 × 100 = 10200 paise
Total value equation
Value of ₹ 1 coins = 16x × 100 = 1600x paise
Value of 50 paise coins = 5x × 50 = 250x paise
Value of 25 paise coins = 28x × 25 = 700x paise
1600x + 250x + 700x = 10200
2550x = 10200
x = `10200/2550`
x = 4
Substitute the value of x = 4 and find the number of each type of coin
Number of ₹ 1 coins = 16x = 16 × 4 = 64
Number of 50 paise coins = 5x = 5 × 4 = 20
Number of 25 paise coins = 28x = 28 × 4 = 112
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