Multiple choice

The marked price of a chair is 75% more than its cost price. What maximum discount (in percentage) can be offered by the shopkeeper to sell his chair at no profit no loss?

  1. 42.85

  2. 36.58

  3. 60

  4. 52
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A Correct answer
Explanation

Let CP = 100. Then MP = 175. To sell at no profit/loss, SP must be 100. Discount = MP - SP = 175 - 100 = 75. Discount percentage = (75/175) * 100 = 42.857%.

AI explanation

Let the cost price be 100, making the marked price 175 since it is 75% more than the cost price. To sell the chair at no profit and no loss, the selling price must equal the cost price of 100. Using the discount percentage formula, the discount is calculated on the marked price, so the maximum discount percentage is ((175 minus 100) / 175) multiplied by 100. This equals 75 divided by 175 multiplied by 100, which gives a maximum discount of 42.85%.

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