A merchant has 100 lbs of sugar, part of which he sells at 5% profit and the rest at 17% profit. He gains 10 % on the whole. Find how much is sold at 5% profit?
Pick.
A) 70 lbs	B) 40 lbs	C) 30 lbs	D) 58 lbs	E) 60 lbs
These types ofweighted averagequestions can be solved in a variety of ways, so you can choose whichever method you find easiest/fastest. Here's another variation on the Weighted Average Formula:   A = # of pounds sold at 5% profit   B = # of pounds sold at 17% profit   A+B = 100 pounds   (.05A + .17B)/(A+B) = .10   .05A + .17B = .1A + .1B   .07B = .05A   7B = 5A   7/5 = A/B   So, for every 7 pounds of A, we have 5 pounds of B.   With 100 pounds total, we have 58 pounds of A and 42 pounds of B.   Option 58 lbs
<result>D</result>
A merchant has 100 lbs of sugar, part of which he sells at 5% profit and the rest at 17% profit. He gains 10 % on the whole. Find how much is sold at 5% profit?