Multiple choice

On selling an article at a discount of 20% the profit is 20%. Find the profit percent if the article is sold at a discount of 10%.

  1. 25%

  2. 30%

  3. 15%

  4. 35%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let MP = 100. Discount 20% -> SP = 80. Profit 20% -> CP = 80/1.2 = 66.67. If discount is 10%, SP = 90. Profit = 90 - 66.67 = 23.33. Profit % = 23.33 / 66.67 = 35%.

AI explanation

Let the marked price be Rs.100, so selling at a 20% discount gives a selling price of Rs.80. Because this yields a 20% profit, the cost price is 80 divided by 1.2, which equals Rs.66.66. If the article is sold at a 10% discount, the new selling price becomes Rs.90. The profit percent formula gives a profit of (23.33 divided by 66.66) multiplied by 100, which equals 35%.

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