Question
A man sells an article at a certain price incurring 20%
loss. If he had sold the same article for Rs. 20 more he would have earned 20% profit. What was the cost price of the said article?Solution
ATQ, Let the cost price of article be 100x When sold at loss SP = 100x - (20/100) × 100x = 80x When sold at profit SP = 100x + (20/100) × 100x = 120x According to the question, 120x - 80x = 20 ⇒ 40x = 20 ⇒ x = 0.5 ⇒ 100x = 50  ∴ Cost price of article is Rs. 50
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