Question
A merchant employs an inaccurate weight of 800 grams
instead of 1 kg when selling sugar. If he labels the sugar's price as 20% higher than its cost price, determine the profit percentage the merchant earns when selling 1 kg of Sugar at the marked price.Solution
ATQ, Let the cost price of 1000 grams of Sugar be Rs. 1000x. He gives 800 grams instead of 1000 grams. So, Selling price of 800 grams of Sugar = 1000x × 1.2 = Rs. 1200x Selling price of 1000 grams of Sugar = 1200x × (1000/800) = Rs. 1500x Required profit percentage = {(1500x – 1000x)/1000} × 100 = 50%
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