Multiple choice

In each of the following questions, read the given statement and compare the Quantity I and Quantity II on its basis. (only quantity is to be considered) Quantity I : The discount given by the shopkeeper on an article was 16% and the profit earned by the shopkeeper was 47%. If the shopkeeper marked the price of the article Rs. 600 more than the cost price of the article, then find at what percent more than the cost price the article was marked? Quantity II : The discount given by the shopkeeper was Rs. 1580 more than the profit earned by the shopkeeper. If the cost price of the article was Rs. 800 and the profit earned by the shopkeeper was 13.75%, then find the discount percent given by the shopkeeper.

  1. Quantity : I > Quantity : II

  2. Quantity : I ≥ Quantity : II

  3. Quantity : I < Quantity : II

  4. Quantity : II ≥ Quantity : I

  5. Quantity I = Quantity II or relation can't be established
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A Correct answer
AI explanation

For Quantity I, let the cost price be 100, so the marked price is 100 + x. The selling price is (100 + x) * (1 - 0.16) = 1.47 * 100 = 147. Solving 0.84 * (100 + x) = 147 gives 100 + x = 175, so the marked price is 175, and the required percentage is 75%. For Quantity II, the cost price is 800 and the profit is 13.75% of 800, which is 110. The discount is Rs. 1580 more than the profit, so the discount is 110 + 1580 = 1690. The selling price is 800 + 110 = 910, making the marked price 910 + 1690 = 2600, and the discount percentage is 1690 / 2600 * 100 = 65%. Since 75% is greater than 65%, Quantity I is greater than Quantity II.

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