Question
The marked price of a chair is 30% more than its cost
price. It is sold at a discount of Rs. 180. If the cost price is Rs. 1020 more than the profit earned, find the marked price of the chair.Solution
ATQ, Let, the cost price of the chair = Rs. 100x The marked price of the chair = 100x × 130/100 = Rs. 130x The selling price of the chair = Rs. (130x − 180) CP + P = SP CP − P = 1020 P = CP − 1020 So, 100x + 100x − 1020 = 130x − 180 200x − 1020 = 130x − 180 200x − 130x = −180 + 1020 70x = 840 x = 12 The marked price of the chair = 130 × 12 = Rs. 1560
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