Multiple choice

Amit marked all goods in his shop 40% higher. He gave 35% discount on 60% of the total goods , and 12% discount on 25% of the total goods . Find the discount percentage Amit should have given on the remaining goods to get an overall profit of 4.3% on the sale of all goods.

  1. 15%

  2. 10%

  3. 16%

  4. 18%

  5. None of these

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let CP = 100 for each good. After 40% markup, price = 140. For 60% of goods at 35% discount: effective SP = 140 × 0.65 = 91. For 25% of goods at 12% discount: effective SP = 140 × 0.88 = 123.2. Let required discount on remaining 15% be d%. Effective SP = 140 × (1 - d/100). Overall SP for 4.3% profit = 104.3. Solving 0.60 × 91 + 0.25 × 123.2 + 0.15 × 140(1 - d/100) = 104.3 gives 54.6 + 30.8 + 21(1 - d/100) = 104.3, so 21(1 - d/100) = 18.9, giving d = 10%.