Question
A shopkeeper sells two articles at Rs 1,200 each. On one
he gains 20% and on the other he loses 20%. Find his overall gain or loss percent.Solution
Let CP of first article = C₁, SP₁ = 1,200, gain = 20%. 1,200 = C₁ × 120/100 = (6/5)C₁ ⇒ C₁ = 1,200 × 5/6 = 1,000 Second article: CP = C₂, SP₂ = 1,200, loss = 20%. 1,200 = C₂ × 80/100 = (4/5)C₂ ⇒ C₂ = 1,200 × 5/4 = 1,500 Total CP = 1,000 + 1,500 = 2,500 Total SP = 1,200 + 1,200 = 2,400 Net loss = 2,500 − 2,400 = 100 Loss % = (100/2,500) × 100 = 4% Answer: 4% loss.
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