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Source: Beat The GMAT — Problem Solving |
I think the reason E is correct over D, is because revenue in this case is based off of total liters. So the final equation must contain the total number of liters of water.
water - w
syrup - m
for every liter of syrup each liter of water is required
total mixture = wm+m
selling price = j per liter
Therefore = j(wm+m)
cost price = k per liter
since water costs nothing total cost will be km
gross profit = selling price - cost price
=> j(wm+m) - km
=> jm(w+1) - km
Hence E is the answer.
syrup - m
for every liter of syrup each liter of water is required
total mixture = wm+m
selling price = j per liter
Therefore = j(wm+m)
cost price = k per liter
since water costs nothing total cost will be km
gross profit = selling price - cost price
=> j(wm+m) - km
=> jm(w+1) - km
Hence E is the answer.
Awesome explanation 
parallel_chase wrote:water - w
syrup - m
for every liter of syrup each liter of water is required
total mixture = wm+m
selling price = j per liter
Therefore = j(wm+m)
cost price = k per liter
since water costs nothing total cost will be km
gross profit = selling price - cost price
=> j(wm+m) - km
=> jm(w+1) - km
Hence E is the answer.
