Question
A shopkeeper sells two articles for Rs.3000 each. On
one, he gains 25%, and on the other, he loses 20%. What is the overall percentage gain or loss?Solution
Let the cost price of the first article be x. Selling price = x + 25% of x = 1.25x So, 1.25x = 3000 x = 3000/1.25 = Rs.2400 Let the cost price of the second article be y. Selling price = y - 20% of y = 0.8y So, 0.8y = 3000 y = 3000/0.8 = Rs.3750 Total cost price = 2400 + 3750 = Rs.6150 Total selling price = 3000 + 3000 = Rs.6000 Loss = 6150 - 6000 = Rs.150 Percentage loss = (150/6150) × 100 = 2.44%
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