Everyday problem
Algebra
Level
3
If a milkseller buys milk at the rate of Rs100/l and adds some water to it. He puts MP Rs90 and sells it at a discount of 10%, still he makes a profit of 20%. Find the ratio of water added to milk by milkseller.
13/27
1/2
5/17
1/18
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1 solution
Let the milkman buys x litres of milk. Since, CP=Rs100/l Total CP=Rs100x
Let he adds y litres of milk. Total amount of solution=(x+y)l
Since,MP=Rs90/l Total MP=Rs90(x+y)
Since discount=10% SP=90% of Rs90(x+y) =Rs81(x+y)
According to the question, 120% of 100x=81(x+y) 120x=81x+81y 39x=81y y/x=39/81=13/27 therefore,ratio of water in the solution=13/27