Question : A merchant has 1000 kg sugar part of which sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 8% profit is:
Option 1: 560 kg
Option 2: 600 kg
Option 3: 640 kg
Option 4: 400 kg
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Correct Answer: 400 kg
Solution :
A merchant has 1000 kg sugar, part of which sells at 8% profit and the rest at 18% profit.
Using the alligation method,
The ratio of 1st and 2nd parts = 4 : 6 = 2 : 3
So, the amount sold of 8% profit $=\frac{2}{5}×1000=400$ kg
Hence, the correct answer is 400 kg.
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