Question
The marked price of an air conditioner is 25% more than
its cost price. It is sold for a discount of Rs. 200. If the difference between the cost price and the profit earned is Rs. 1400, then find the marked price of the air conditioner.Solution
ATQ, Let, the cost price of the air conditioner = Rs. 100x The marked price of the air conditioner = 100x × 125/100 = Rs. 125x The selling price of the air conditioner = Rs. (125x − 200) CP + P = SP CP − P = 1400 P = CP − 1400 So, 100x + 100x − 1400 = 125x − 200 200x − 1400 = 125x − 200 200x − 125x = −200 + 1400 75x = 1200 x = 16 The marked price of the air conditioner = 125 × 16 = Rs. 2000
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