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Directions: 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 55% of the selling price and the selling price is Rs. 75000. Find his profit percent.Quantity II: A chair is sold at a profit of Rs. 600, which is 50% of its cost price. If its C.P. is increased by 25% and the selling price is Rs. 1800. 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. = 55% of selling price = 55% × 75000 = Rs. 41250 ⇒ Profit = 75000 - 41250 = Rs. 33750 Profit percent = (33750/41250) × 100 = 81.81% Quantity II: Let the C.P. be Rs. x ⇒ 50% of x = 600 ⇒ x = (600 × 100)/50 ⇒ x = Rs. 1200 Revised cost price = 1200 + 25% of 1200 ⇒ 1200 + 300 = Rs. 1500 ⇒ Profit = Rs. 1800 - Rs. 1500 = Rs. 300 Profit percentage = (300/1500) × 100 ⇒ 20% ∴ Quantity I > Quantity II |
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