A merchant has 900 kg of sugar, part of which he sells at 12% profit and the…
2025
A merchant has 900 kg of sugar, part of which he sells at 12% profit and the rest at 15% profit. He gains 14% on the whole. The quantity sold at 12% profit is :
- A.
450 kg
- B.
300 kg
- C.
600 kg
- D.
360 kg
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Correct answer: B
Answer: 300 kg.
Let x be the quantity (in kg) sold at 12% profit. Then (900 - x) kg is sold at 15% profit.
Total profit amount = 12% of x + 15% of (900 - x) = 0.12x + 0.15(900 - x).
Overall profit is 14% of 900, which is 0.14 × 900 = 126.
Set the total profit equal to 126: 0.12x + 0.15(900 - x) = 126.
Simplify: 0.12x + 135 - 0.15x = 126 ⇒ -0.03x + 135 = 126 ⇒ 0.03x = 9.
Therefore x = 9 / 0.03 = 300. So 300 kg are sold at 12% profit.