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GATE CSE 2021 Set 1 Q7: Discount on item Q from cost ratio and profit percentage

Question

Details of prices of two items P and Q are presented in the table. The ratio of cost of item P to cost of item Q is 3:4. Discount is calculated as the difference between the marked price and the selling price. The profit percentage is calculated as the ratio of the difference between selling price and cost, to the cost

Profit %=Selling price−CostCost×100.\text{Profit }\% = \frac{\text{Selling price} - \text{Cost}}{\text{Cost}} \times 100.

The discount on item Q, as a percentage of its marked price, is ______

ItemsCost (₹)Profit %Marked Price (₹)
P5,400---5,860
Q---2510,000

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Answer: C (official GATE 2021 final answer key)

Concept used: Use the cost ratio to find Q's cost, then profit % to get its selling price.

First step: Cost of Q =5400×43=7200= 5400 \times \frac{4}{3} = 7200, so its selling price is 1.25×72001.25 \times 7200.

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Source: official GATE 2021 Set 1 CS question paper and final answer key, organised by IIT Bombay. Question paper · Answer key

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