Multiple choice

The market price of an article is 40% more than the cost price. There is a profit of x% after giving the discount of 20%. What will be profit percentage when the discount of 2x% is given on the same article and at the same market price?

  1. 6.4%

  2. 4.25%

  3. 8.5%

  4. 4.75%

  5. None of these
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A Correct answer
Explanation

Let CP = 100, so MP = 140 (40% more). After 20% discount: SP = 140 - 20% of 140 = 140 - 28 = 112. Profit = 112 - 100 = 12, so profit percentage x = 12%. If discount is 2x = 24%: new SP = 140 - 24% of 140 = 140 - 33.6 = 106.4. New profit = 106.4 - 100 = 6.4. Therefore, profit percentage = 6.4%.

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