Multiple choice

A man makes a profit of 12.53% after giving a discount of 17.89% on his marked price. Find his mark up percentage.

  1. 46.76%

  2. 21.35%

  3. 23.76%

  4. 37.04%

  5. 32.98%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP = 100. Profit = 12.53%, so SP = 112.53. Discount = 17.89% on MP, so SP = MP * (1 - 0.1789) = MP * 0.8211. MP = 112.53 / 0.8211 = 137.04. Mark up percentage = ((MP - CP) / CP) * 100 = ((137.04 - 100) / 100) * 100 = 37.04%.

AI explanation

Using the profit and loss relationship (1 + Profit/100) = (1 - Discount/100) * (1 + Markup/100), we set the cost price to 1. Substituting the values gives 1.1253 = 0.8211 * (1 + Markup/100). Dividing 1.1253 by 0.8211 yields approximately 1.3704. Converting this to a percentage gives a markup of 37.04%.

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