A shopkeeper marks his goods above cost price and then allows a discount of on the marked price. He also uses a faulty weight of g in place of kg. What is his overall profit percent?
Answer and explanation
Correct answer: B.
- Step 1: Assume the nominal cost of goods is ₹ per gram (or ₹ per ). The marked price is above cost: .
- Step 2: After a discount, the customer pays for an alleged . However, the shopkeeper delivers only , incurring a true cost of ₹.
- Step 3: Compute overall profit: . The profit percentage is .
Answer
.
Why not the others: computes only the pricing profit () neglecting the weight fraud; computes only the weight fraud gain (); is an additive approximation (); divides profit by marked price.
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