Question
A man sells two articles at ₹2,000 each. On one, he
gains 25%, and on the other, he loses 20%. What is his overall profit or loss percentage?Solution
Let the cost price of the first article be ₹x. Profit of 25% means selling price = x + 25% of x = 1.25x. 1.25x = ₹2,000 x = ₹1,600. Let the cost price of the second article be ₹y. Loss of 20% means selling price = y - 20% of y = 0.8y. 0.8y = ₹2,000 y = ₹2,500. Total cost price = ₹1,600 + ₹2,500 = ₹4,100. Total selling price = ₹2,000 + ₹2,000 = ₹4,000. Loss = ₹4,100 - ₹4,000 = ₹100. Loss percentage = (100/4100) × 100 ≈ 2.44%. Answer: c) 2.44% loss.
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