Multiple choice

The cost price of an article is $64\%$ of the marked price. Calculate the gain per cent after allowing a discount of $12\%$.

  1. $52\%$
  2. $48\%$
  3. $50.5\%$
  4. $37.5\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let MP = 100. CP = 64. Discount = 12%, so SP = 88. Gain = 88 - 64 = 24. Gain % = (24 / 64) * 100 = 37.5%.

AI explanation

Let the marked price be 100, which makes the cost price 64. Allowing a 12 percent discount on the marked price results in a selling price of 88. Using the profit formula, the profit is (88 minus 64) divided by 64, multiplied by 100, which equals 24 divided by 64 multiplied by 100. This calculation results in a gain of 37.5 percent. The answer is 37.5 percent.

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