A merchant has 100 lbs of sugar, part of which he sells at 6% profit and the rest at 17% profit. He gains 10 % on the whole. Find how much is sold at 6% profit? Select the correct option
A) 70 lbs B) 40 lbs C) 30 lbs D) 50 lbs E) 64 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 6% profit   B = # of pounds sold at 17% profit   A+B = 100 pounds   (.06A + .17B)/(A+B) = .10   .06A + .17B = .1A + .1B   .07B = .04A   7B = 4A   7/4 = A/B   So, for every 7 pounds of A, we have 4 pounds of B.   With 100 pounds total, we have 64 pounds of A and 36 pounds of B.   option 64 lbs
<result>E</result>
A merchant has 100 lbs of sugar, part of which he sells at 6% profit and the rest at 17% profit. He gains 10 % on the whole. Find how much is sold at 6% profit?