A shopkeeper buys an article and sells it at a profit of 20%. If he had bought it at 10% less and sold it for ₹6 more, he would have gained 40%. What is the original cost price of the article?

Question

Accepted Answer

Step 1: Let original CP = ₹x. Original SP = 1.2x. Step 2: New CP = 0.9x. New SP = 1.2x + 6. New profit condition: 1.2x + 6 = 1.4 × 0.9x = 1.26x. Step 3: 1.26x − 1.2x = 6 → 0.06x = 6 → x = 100. Therefore, original CP = ₹100.

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