Question
'A' purchased an article and sold it to 'B' at 10% profit. 'B' marked it up by 27% above the price at which 'A' has purchased it and then sold it after giving a discount of Rs. 1400. If 'B' suffered a loss of 10% in the transaction, then find the cost price of the article for 'A'.
Solution
Let the cost price of the article for A be Rs. x Therefore, cost price of the article for B = Rs. 1.1x Marked price of the article = Rs. 1.27x Selling price of the article for B = 0.9 × 1.1x = Rs. 0.99x According to the question, 1.27x – 0.99x = 1400 Or, x = 1400/0.28 = 5000 Therefore, cost price of the article for A = Rs. 5000
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