Multiple choice

How much \% must be added to the cost price of goods so that a profit of 20\% must be made after throwing off a discount of 10\% from the marked price?

  1. $107\%$
  2. $\frac{105}{9}\%$
  3. $7\%$
  4. $\frac{100}{3}\%$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let CP be 100. Let x% be added, so MP = 100+x. After 10% discount, SP = 0.9(100+x) = 90 + 0.9x. For 20% profit, SP should be 120. So 90 + 0.9x = 120, giving 0.9x = 30, x = 30/0.9 = 100/3.

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