Multiple choice

A shopkeeper sold an item for Rs 600 after giving 20% discount on the labelled price and made 24% profit on the cost price. What would have been the percentage profit if he had not given the discount?

  1. 42%

  2. 47%

  3. 53%

  4. 55%

  5. 57%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP = x. SP after discount = 600. This is 80% of MP, so MP = 600/0.8 = 750. Profit is 24%, so 1.24x = 600, giving x = 600/1.24 = 483.87. Without discount, SP = 750. Profit = 750 - 483.87 = 266.13. Profit % = 266.13/483.87 × 100 = 55%. The calculation confirms 55% profit.

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