Question
A bag contains Rs. 112/- in the form of 1 rupee 50 paise
and 10 paise coins in the ratio 3 : 8 : 10. What is the number of 50 paise coins?Solution
Let the number of 1 rupee, 50 paise and 10 paise coins be 3x, 8x and 10x, respectively.
Value of 1 rupee coins = 3x × 1 = Rs. 3x
Value of 50 paise coins = 8x × 0.50 = Rs. 4x
Value of 10 paise coins = 10x × 0.10 = Rs. 1x
According to the question,
3x + 4x + 1x = 112
8x = 112
x = 14
Number of 50 paise coins = 8x = 8 × 14 = 112
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