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					 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 —
 
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- 20 kg
 - 30 kg
 - 15 kg
 - 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 × | ![]()  | = 30 kg | 2 | 
Using the method of alligation ,
					                    					
