Question

A milk seller has a milk of Rs.100 per litre. In what ratio should water be mixed in that

milk, so that after selling the mixture at Rs.80 per litre, he may get a profit of 50%?

Answer 1

let us assume for 1lit of milk , x lit of water is added.

total price of milk is now 80*(1+x)

but with this price , he gets a profit of 50%.

so 80(1+x)=150

1+x=15/8

x=7/8

so the required ratio is 7/8:1=7/8

Answer 2

The ratio in which water is to be mixed with milk is 7:8.

• A milk seller has milk of Rs. 100 per litre.

• Now,

Let x litres of water is added to one litre of water.

• After adding water , the milk sold is at a rate of Rs. 80 per litre.

Selling price of milk = Rs. 80 per litre

• After selling the milk the milk seller gains a profit of 50%.

Money obtained after selling milk = 100 + $\frac{50}{100}$ × 100

Money obtained after selling milk = 150.

• Now,

Selling price of milk(x litres of water + 1 litre of milk )= money obtained

80 (x+1) = 150

x + 1 = 15/8

x = 7/8

• Therefore, In 8 litres of milk 7 litres of water is added.

• The ratio of the mixture of water and milk is 7:8.