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Three articles are bought at Rs. 400 each. One of them is sold at a loss of 10%. If the other two articles are sold so as to gain 20% on the whole transaction, then what is the gain percentage on the two articles?1. 35%2. 10%3. 30%4. 40% |
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Answer» Correct Answer - Option 1 : 35% Given: The cost price of an article = Rs. 400 Loss% of one article is 10% Gain % in whole transaction = 20% Concept Used: Selling price = Cost price + Profit Selling price = Cost price - loss Calculations: Selling price of an article with 10% loss = 400 - 400 × 10% ⇒ 400(1 -10%) = 400(1 - 10/100) ⇒ 400(100 - 10)/100 = 4 × 90 ⇒ 360 The total cost price of 3 articles = 3 × 400 ⇒ 1200 Overall transaction gain = 20% ⇒ Overall transaction selling price should be (120/100) × 1200 = 1440 Selling price of other two articles should be (1440 - 360)/2 = 540 Gain from other two article individually is 540 - 400 = 140 Gain percentage = (140/400) × 100 = 35% ∴ The required gain percentage on two article is 35% |
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