Question
'A' sold an article whose cost price is Rs. 'Y', at a
profit of 25% to 'B'. 'B' marked the price of the article 25% above the price at which he bought it from 'A' and sold it for Rs. 8,100 after giving a discount of 10%. Find the value of (Y - 4,000).Solution
ATQ, Cost price of the article for 'B' = 125% of Y = Rs. '1.25Y' So, marked price of the article = 125% of 1.25Y = (1.25) X (1.25Y) = Rs. '1.5625Y' And selling price of the article = (0.9) X (1.5625Y) = Rs. '1.40625Y' So, 1.40625Y = 8,100 Or, Y = (8100/1.40625) = 5,760 So, required value = 5,760 - 4,000 = 1,760
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