A 25 profit is made when a discount of 25 is given on the marked price of an item When the discount ...........

Quantitative Aptitude (CHSL) Profit and loss

A 25% profit is made when a discount of 25% is given on the marked price of an item. When the discount is 35%, what will be

the profit? (Give your answer correct to the nearest whole number.)

This questions was previously asked in

SSC CHSL 31st May 2022 Shift-1

13%

11%

- Given Scenario:

- A 25% profit is achieved after offering a 25% discount on the marked price (MP).

- Let's assume the cost price (CP) is \( C \) and the marked price is \( M \).

- For 25% Discount:

- Selling price (SP) after 25% discount = \( 0.75M \).

- Profit is 25%, hence SP = \( 1.25C = 0.75M \).

- Solving gives \( M = \frac{5}{3}C \).

- For 35% Discount:

- New SP = 65% of MP = \( 0.65M \).

- Replacing \( M = \frac{5}{3}C \), SP = \( 0.65 \times \frac{5}{3}C = \frac{65}{60}C \).

- Profit percentage = \( \frac{\text{(SP - CP)}}{\text{CP}} \times 100 \).

- Profit = \( \frac{65C/60 - C}{C} \times 100 \) = approximately 8.33%.

- Highlight Correct Answer:

- 8% profit is closest, so the right choice is Option 2.

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