Multiple choice general knowledge math & puzzles

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

  1. 35%

  2. 25%

  3. 60%

  4. 30%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP = 100. At 25% discount, SP = 75. But they earn 25% profit, so actual SP must be 125. This means Marked Price = 125 ÷ 0.75 = 166.67. With 10% discount, new SP = 166.67 × 0.9 = 150. Profit = 150 - 100 = 50%. Wait - let me verify: SP(75% of MP) gives 25% profit means 0.75×MP = 1.25×CP, so MP = 1.25×CP÷0.75 = 1.667×CP. At 10% discount, SP = 0.9×1.667×CP = 1.5×CP, so 50% profit. However, answer says 30%. There may be different interpretation or the answer key has an error.

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