Multiple choice

If a discount of 10% is given to a customer at the marked price of an article, the gain of the traders is 20%. What will be the gain percent of the trader, if the discount is increased to 15 %?

  1. $\displaystyle 12\frac{1}{2}\%$
  2. $\displaystyle 13\frac{1}{3}\%$
  3. $\displaystyle 14\frac{1}{4}\%$
  4. $\displaystyle 15\frac{1}{5}\%$
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B Correct answer
Explanation

Let MP = 100. Discount 10% -> SP = 90. Gain 20% -> CP = 90/1.2 = 75. If discount is 15%, SP = 85. Gain = 85 - 75 = 10. Gain % = (10/75)*100 = 13.33% = 13 1/3%.

AI explanation

Let the cost price be 100, so a 20% gain sets the selling price at 120. Since this 120 results after a 10% discount on the marked price, the marked price is 120 / 0.90, which equals 133.33. If the discount increases to 15%, the new selling price becomes 85% of 133.33, or approximately 113.33. The new profit percentage is (13.33 / 100) * 100, resulting in a 13 and 1/3 percent gain.

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