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Question 116
A man sold $$\frac{3}{5}$$th of his articles at a gain of 20% and the remaining at cost price. Find the percentage gain earned in the transaction.
Solution
This can be solved in an easier manner by using allegations concept.
$$p=\frac{\left(p1q1+p2q2\right)}{q1+q2}$$ where p1 ,p2 are profit percentages ,  q1,q2 are the number of articles , p is the overall profit percentage.
Here q1=3/5 , q2 =2/5 , p1=20 , p2=0
On solving you get p as 12
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