InterviewSolution
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A man sold his furniture at a 25% gain. Had he sold at 15% loss. He would have received ₹ 800 less. Find cost price of the furniture.1. Rs. 1,5002. Rs. 3,0003. Rs. 2,0004. Rs 2,500 |
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Answer» Correct Answer - Option 3 : Rs. 2,000 Given : A man sold his furniture at 25% gain. Had he sold at 15% loss he would have received Rs.800 less Concept used : Profit = selling price - cost price = profit % on cost price Loss = cost price - selling price = loss % on cost price Calculations : Let the cost price of the item be 100x Selling price at 25% profit = cost price + profit ⇒ cost price + 25% of 100x ⇒ 100x + 25x = 125x Selling price at 15% loss = cost price - loss ⇒ 100x - 15% of 100x According to the question 125x - 85x = 800 ⇒ 40x = 800 ⇒ x = 20 ⇒ cost price = 100x ⇒ 100 × 20 = 2000 rupees ∴ Cost price of the furniture is 2000 rupees |
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