Question : A shopkeeper has 2220 kg of rice. A part of which he sells at a 20% profit and the rest at a 12% profit. He gains 18% on the whole. The quantity (in kg) sold at a 12% profit is:
Option 1: 555
Option 2: 1210
Option 3: 1665
Option 4: 425
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Correct Answer: 555
Solution :
Using mixture and alligation,
So, the ratio of the quantity of rice that is sold at 20% profit to the quantity of rice that is sold at 12% = 3 : 1
Now, the quantity of rice that is sold at 12% profit = 2220 × $\frac{1}{(3 + 1)}$ = 555 kg
∴ The quantity sold at a 12% profit is 555 kg.
Hence, the correct answer is 555.
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