Question

A milkman has a container that contains 30 L of milk. If he distributes
1
1
2
L of milk to 20 houses in a colony, how much milk would be left with him?​

Answer 1

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A container contains some amount of milk. A milkman adds 200 ml of water for each one litre of milk in the container. 6 litres of the mixture is sold from the container and 10 litres of milk is added to the remaining mixture. If now the ratio of milk to water in container is 25:3, find the initial quantity of milk in the container

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ANSWER

Let the initial quantity of milk =10xlitres,

For each 1 litre, 200 ml of water is added, so after adding water, quantity of mixture become =12x litres.

Now 6litres of mixture is sold, and 10 litres of milk is added.

So remaining quantity is (12x−6+10)=(12x+4)

In this final quantity, milk =10x−(

12x×6

10x

)+10=(10x+5)

So,

(12x+4)

(10x+5)

=

(25+3)

25

Solving, we get x=2

So initial quantity of milk =10x=20 litres