Multiple choice

Sakshi sold rice to a customer at a profit of 25% after offering a discount of 37.5%. What would be her profit percentage if she had offered a discount of 41.67%?

  1. 16.67%

  2. 12%

  3. 8.33%

  4. 7%

  5. 6%
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let MP = 100. Discount 37.5% means SP = 62.5. Profit 25% means CP = 62.5 / 1.25 = 50. If discount is 41.67%, new SP = 100 - 41.67 = 58.33. Profit = 58.33 - 50 = 8.33. Profit % = (8.33 / 50) * 100 = 16.66%.

AI explanation

Let the cost price be 100 and the marked price be M, so the first selling price is 0.625M because of the 37.5% discount. This yields a 25% profit, meaning 0.625M = 125 and M = 200. If she offers a new discount of 41.67%, or 5/12, the new selling price becomes 200 * (1 - 5/12) = 200 * 7/12, which is approximately 116.67; this results in a 16.67% profit.

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