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38 vote

Pure milk costs Rs. 40 per litre. A milkman adds water to 35 litres of pure milk and sells the mixture at Rs. 35 per litre. How many litres of water does he add?

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Pure milk costs Rs. 40 per litre. A milkman adds water to 35 litres of pure milk and sells the mixture at Rs. 35 per litre. How many litres of water does he add?
1). 2 litres
2). 5 litres
3). 7 litres
4). 11 litres


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1 answers

20 vote
Answered by on | Votes 20 |

Given that,

Pure milk costs Rs. 40 per litre.

A milkman adds water to 35 litres of pure milk and sells the mixture at Rs. 35 per litre.

According to the question,

By applying the rule of the allegation,

The ratio of milk and water = (35 – 0) : (40 – 5) = 35 : 5

So, the ratio of milk and water is 35 : 5 i.e. 7 : 1.

Hence,

In 7 litres milk, added water = 1 litre

So, in 35 litres milk, added water

$(\Rightarrow \frac{{35}}{7} = 5\;litres)$

∴ 5 litres of water milkman will add in the milk.

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