How many pounds of salt at 50 cents/lb must be mixed with 45 lbs of salt that costs 35 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb? Options
A) 20 B) 15 C) 40 D) 50 E) 90
Selling price is 48 cents/lb   For a 20% profit, cost price should be 40 cents/lb (CP*6/5 = 48)   Basically, you need to mix 35 cents/lb (Salt 1) with 50 cents/lb (Salt 2) to get a mixture costing 45 cents/lb (Salt Avg)   weight of Salt1/weight of Salt2 = (Salt2 - SaltAvg)/(SaltAvg - Salt1) = (50 - 45)/(45 - 35) = 1/2   We know that weight of salt 1 is 45 lbs. Weight of salt 2 must be 90 lbs.   Answer (90)
<result>E</result>
How many pounds of salt at 50 cents/lb must be mixed with 45 lbs of salt that costs 35 cents/lb so that a merchant will get 20% profit by selling the mixture at 48 cents/lb?