Multiple choice

If a discount of $10\%$ is given on the marked price of a book, the publisher gains $20\%$. If the discount is increased to $15\%$, the gain is __________.

  1. $\displaystyle 16\frac{2}{3}\%$
  2. $\displaystyle 13\frac{1}{3}\%$
  3. $\displaystyle 15\frac{1}{6}\%$

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

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

AI explanation

Let the marked price be 100. A 10% discount makes the selling price 90, which yields a 20% profit on the cost price, so the cost price is 90 divided by 1.2, which is 75. Increasing the discount to 15% makes the new selling price 85. The gain is calculated as ((85 - 75) / 75) * 100, resulting in a profit of 13 1/3%.

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