Multiple choice

Passage

Directions: The table given below gives information about the profit percent earned by the shopkeepers (A - E) on various items. Shopkeeper/Item P Q R S T A 25% 20% 20% 30% B 18% 30% 15% 30% 20% C 12% 30% D 18% 25% 14% 15% E 15% 15% 18% 10%

If shopkeeper B marked up the price of item Q by 40%, then what was the percent discount given by him on item Q?

  1. 7.14%

  2. 8.36%

  3. 9.31%

  4. 10.12%

  5. None of these
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A Correct answer
Explanation

For item Q, shopkeeper B earns a 30% profit, so the selling price is 130% of cost price. A 40% markup makes the marked price 140% of cost price, giving a discount of 10/140 × 100 = 7.14%.

AI explanation

Assume the cost price of item Q is 100 rupees. The shopkeeper marked up the price by 40%, making the marked price 140 rupees. The profit on item Q is 30%, so the selling price is 130 rupees. The discount amount is 140 minus 130, which is 10 rupees; the discount percentage is (10 divided by 140) multiplied by 100, resulting in approximately 7.14%.

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