Question
The marked price and cost price of an article are in the
ratio of 8:3, respectively. The seller sold the article after giving a discount of 45% on the marked price and made a profit of Rs. 'n'. If the seller had given a flat discount equal to Rs. 'n', he would have earned a profit of Rs. 360. Find the cost price of the article.Solution
Let the marked price of the article be Rs. '8x' So, cost price of the article = 8x X (3/8) = Rs. '3x' Selling price of the article when sold at 45% discount = 8x X 0.55 = Rs. '4.4x' ATQ; 4.4x - 3x = n Or, 1.4x = n ........... (I) ATQ; 8x - n = 360 + 3x So, 5x - n = 360 Or, 5x - 1.4x = 360 {Using equation (I)} So, 3.6x = 360 So, x = 100 So, cost price of the article = 100 X 3 = Rs. 300
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