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  1. A merchant has 50 kg. of sugar part of which he sells at 8 % profit and the rest at 18 % profit. He gains 14 % on the whole. The quantity sold at 18 % profit is —
    1. 20 kg
    2. 30 kg
    3. 15 kg
    4. 35 kg
Correct Option: B

Here , C1 = 8% , C2 = 18% and Mean Profit ( M ) = 14%
Ratio of 1st and 2nd part = 4 : 6 = 2 : 3

Quantity sold at 18% =50 ×
3
= 30 kg
2

Using the method of alligation ,



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