Kartik’s mother asked him to get the vegetables, milk and butter from the market and gave him the money in the denomination of 1 Rupee, 2 Rupee and 5 Rupee coins. Kartik first goes to the grocery shop to buy vegetables. At the grocery shop he gives half of his 5 Rupee coins and in return receives the same number of 1 Rupee coins. Next he goes to a dairy shop to buy milk and butter and gives all 2 Rupee coins and in return gets thirty 5 Rupee coins which increases the number of 5 Rupee coins to 75% more than the original number. If the number of 1 Rupee coins now is 50, the number of 1 Rupee and 5 Rupee coins originally were:
Explanation:
Let Kartik initially have x, y and z, 1 Rupee, 2 Rupee and 5 Rupee coins respectively.
At the grocery shop, the number of 5 Rupee coins becomes z/2 and the number of 1 rupee coins becomes x + z/2
At the dairy, the number of 5 Rupee coins changes to z/2 + 30
By conditions given in the question,
z/2 + 30 = 1.75z
∴ z = 24
Also, x + z/2 = 50
∴ x = 38
Hence, option (d).
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