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Question
A milkman purchases milk at the rate of rs. 14 per litre and then mixes 40% water to it. Find the profit per cent, if he sells the mixture at Rs. 6 per litre.
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Solution
Let the quantity of milk purchased be x litres.
C.P. of 1 litre = Rs.14
∴ C.P. of x litre = Rs.14x
Quantity of water mixed
= 40% of x = `(40)/(100)x`
= `(2)/(5)x "litres"`
∴ Quantity of milk now becomes
= `x + (2)/(5)x`
= `(7)/(5) x "litres"`
S.P. of 1 litre mixture = Rs.16
∴ S.P. of `(7)/(5)x` litres mixture
= `16.(7)/(5)x`
= Rs.`(112)/(5)x`
Profit = S.P. - C.P.
= `(112)/(5)x - 14x`
= `(112x - 70x)/(5)`
= `(42)/(5)x`
Profit %
= `"Profit"/"C.P." xx 100`
= `((42x)/(5))/(14x) xx 100`
= 60%.
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