A merchant marks up his goods by above cost price and allows a discount of . While purchasing from a wholesaler, he takes instead of , and while selling, he gives instead of . What is his overall profit percentage?
Answer and explanation
Correct answer: D. 65%
- Step 1: Let the nominal cost price be ₹ per gram (or ₹ for ). While purchasing, the merchant pays for but receives . Thus, his effective cost price per gram is .
- Step 2: The merchant marks up goods by (marked price ) and allows a discount, yielding a nominal selling price of per nominal kilogram. When selling, he delivers only while charging ₹, so his effective selling price per gram is .
- Step 3: Calculate the overall profit multiplier: . The overall profit percentage is .
Answer
65%.
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