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Direction: Given below are two quantities named I and II. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and your knowledge of Mathematics to choose among the possible answers.Quantity I: Cost price of an article is 50% of the selling price and the selling price is Rs. 8000. Find his profit percent.Quantity II: An article is sold at a profit of Rs. 200, which is 40% of its cost price. If its C.P. is increased by 20% and the selling price is Rs. 1000. Then, find the new profit percent.1. Quantity I = Quantity II2. Quantity I ≥ Quantity II3. Quantity I ≤ Quantity II4. Quantity I ˂ Quantity II5. Quantity I ˃ Quantity II |
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Answer» Correct Answer - Option 5 : Quantity I ˃ Quantity II Quantity I: C.P = 50% of selling price ⇒ 50 % × 8000 = Rs. 4000 ⇒ Profit = Rs. (8000 – 4000) = Rs. 4000 Profit percent = (4000/4000) × 100 = 100 % Quantity II: Let the C.P. be Rs. x ⇒ 40% of x = 200 ⇒ x = (200 × 100)/40 ⇒ x = Rs. 500 Revised cost price = 500 + 20% of 500 ⇒ 500 + 100 = Rs. 600 ⇒ Profit = Rs. 1000 – Rs. 600 = Rs. 400 Profit percentage = (400/600) × 100% ⇒ 200/3% ∴ Quantity I > Quantity II |
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