On an item, if a company gives 25% discount, they earn 25% profit. If they now…

2024

On an item, if a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage.

  1. A.

    40%

  2. B.

    45%

  3. C.

    50%

  4. D.

    30%

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Correct answer: C

Answer: 50%

  • Let the marked price be 100.

  • With a 25% discount the selling price is 100 − 25 = 75.

  • This selling price gives a 25% profit, so cost price = 75 × (100/125) = 60.

  • If the discount is 10%, the new selling price is 100 − 10 = 90.

  • Profit = 90 − 60 = 30, so profit% = (30/60) × 100 = 50%.

Hence the profit percentage when a 10% discount is given is 50%.

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