Multiple choice

A shopkeeper bought chocolate at Rs. 4 per piece. He packed the chocolates in boxes with 15 chocolates in each box and marked price of Rs. 67.50 on every box he packed. He decided to give discount of 10% on marked price. Calculate the ratio of the profit % after giving the discount to the profit % without giving the discount.

  1. 1 : 10

  2. 10 : 1

  3. 1 : 5

  4. 1 : 7

  5. None of the above
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A Correct answer
Explanation

Cost per box = 15 * 4 = 60. Profit without discount = 67.50 - 60 = 7.50 (12.5%). Selling price with 10% discount = 67.50 * 0.9 = 60.75. Profit with discount = 60.75 - 60 = 0.75 (1.25%). Ratio = 1.25 : 12.5 = 1 : 10.

AI explanation

The cost price of a box of 15 chocolates is 15 * 4 = Rs. 60. The profit percentage without a discount is ((67.50 - 60) / 60) * 100 = 12.5%. With a 10% discount, the selling price becomes 0.9 * 67.50 = Rs. 60.75, yielding a profit percentage of ((60.75 - 60) / 60) * 100 = 1.25%. The ratio of the profit percentages is 1.25 : 12.5, which simplifies to 1 : 10.

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