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Question

A milkman purchases milk at Rs 20/litre and mixes 4 litres of water in it. By selling the resultant mixture at the rate of Rs 20/litre, he earns a profit of 40%. The percentage of milk in the mixture he had with him to sell was

A
33%
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B
71.43%
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C
28.57%
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D
57%
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Solution

The correct option is B 71.43%
Let the milkman purchased x litres of milk.
After mixing 4 litres of water, he has (x+4) litres mixture to sell.
Profit %=S.P. C.P.C.P.×100
where C.P.= cost price and S.P.= selling price
Now, given that profit =40%
40100=20(x+4)20x20x
4=802x
x=10
Milkman sold x+4=10+4=14 litres mixture
Milk % in the mixture =1014×100=71.43%

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