Question

A dishonest milkman purchased milk ar 100 per litre and mixed 10 litre of water by selling the mixture at the rate of 100 per litre he earns 25% profit

Answer 1

The amount of mixture he had with him to sell was 50 litres.

Step-by-step explanation:

The C.P. of pure milk is given as = Rs. 100 per litre

Since pure water doesn’t cost anything ∴ C.P. of pure water = Rs. 0

The S.P. of the mixture = Rs. 100 per litre

Profit% = 25%

∴ C.P. of the mixture = $[\frac{100}{100+P}] *S.P. = [\frac{100}{100+25}]*100 = \frac{10000}{125}$ = Rs. 80 per litre

Now, by using the method of mixture and alligations, we get

Milk                        Water

100                                  0

            80(Mixture)

(80-0)                       (100 - 80)

 80                                20

∴ Milk:Water = 80:20 = 4:1

From the ratio we can see that for every 4 litres of milk, 1 litre of water is mixed in the mixture.  

So, we can conclude that, for 10 litres of water added there will be 4*10 = 40 litres of milk

∴ Resultant mixture = 10 + 40 = 50 litres

Thus, the amount of mixture the milkman had with him to sell was 50 litres.

---------------------------------------------------------------------------------------

Also View:

A dishonest milkman buys milk at Rs 24 per litre and adds 1/5 of water to it and sells the mixture at Rs 32 per litre. What will be his gain %?

https://brainly.in/question/5337016

A dishonest milkman buys milk at rs.6 per litre and adds one third of water to it and sells the mixture at rs.7.20 per litre. The gain is?

https://brainly.in/question/5942961