Question
A trader marks an article 25% above its cost price and
then sells it at 15% profit after allowing a discount of x% on the marked price. If the cost price of the article is Rs.2000, find the selling price (Rs.) when the article is sold at (x + 5)% profit.Solution
ATQ, Marked price of the article = 2000 × 125/100 = Rs.2500 So, selling price when profit is 15% = 2000 × 115/100 = Rs.2300 So, 2500 × (100 − x) / 100 = 2300 Or, 2500(100 − x) = 230000 Or, 100 − x = 230000 / 2500 = 92 Or, x = 8 So, required selling price when profit is (x + 5)% = 13% Required selling price = 2000 × 113/100 = Rs.2260
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