Question
A man bought an article at a certain price, marked it
32% above the cost price and sold it after giving a discount of 25%. If he had bought it for 20% less and sold it for 600 more, his profit would have been 30%. Find the original cost price of the article.Solution
Let, the cost price of the article be Rs. '100x' So, marked price of the article = (100x × 0.32) = Rs. '132x' And, selling price of the article = (132x × 0.75) = Rs. '99x' According to question; (13/10) × (100x × 0.8) = (99x + 750) Or, 13 × 80x = 990x + 7500 Or, 1040x - 990x = 600 Or, 50x = 6000 So, x = 120 Cost price of the article = 100x = (100 × 120) = Rs. 12,000
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