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.
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15%
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10%
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16%
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18%
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None of these
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%.