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GATE CSE 2024 Session 2 Q7: Net result of 10% profit and 10% loss at the same selling price

Question

A person sold two different items at the same price. He made 10% profit in one item, and 10% loss in the other item. In selling these two items, the person made a total of

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Answer: C (official GATE 2024 final answer key)

Concept used: Equal selling prices with equal percentage gain and loss always give a net loss of (p/10)2%(p/10)^2\%.

First step: Take selling price 99: cost prices are 90 and 110, total cost 200 against total revenue 198.

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Source: official GATE 2024 Session 2 CS question paper and final answer key, organised by IISc Bangalore. Question paper · Answer key