Multiple choice

Arti has coins of the denomination of $Rs. 1,50$ paise and $25$ paise in the ratio of $12 : 10 : 7$. The total worth of the coins she has is $Rs. 75$. Find the number of $25$ paise coins.

  1. $28$
  2. $36$
  3. $42$
  4. $32$
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A Correct answer
Explanation

Let the coin counts be 12x, 10x, and 7x. Their total value is 12x + 5x + 1.75x = 18.75x rupees. Since this equals Rs. 75, x = 4, so the number of 25 paise coins is 7 x 4 = 28.

AI explanation

Let the number of 1 rupee, 50 paise, and 25 paise coins be 12x, 10x, and 7x respectively. The total value in rupees is (12x * 1) + (10x * 0.50) + (7x * 0.25) = 12x + 5x + 1.75x = 18.75x. Setting this equal to the total worth gives 18.75x = 75, so x = 4. The number of 25 paise coins is 7x = 7 * 4 = 28. The number of 25 paise coins is 28.

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