Multiple choice

A product is at a profit of 12.5% after wo successive discount of x% and 14.28%. If the product is marked 68.75% above the cost price, what is the value of x ?

  1. 18.18%

  2. 25%

  3. 22.22%

  4. 18.5%
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let CP = 100. MP = 168.75 (68.75% above CP). After discounts of x% and 14.28%, SP = 112.5 (12.5% profit). Working backwards: 168.75 × (1 - x/100) × (1 - 14.28/100) = 112.5. Solving: (1 - x/100) × 0.8572 ≈ 0.6667, so 1 - x/100 ≈ 0.7778, giving x ≈ 22.22%. Option C is correct.

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