Question 3

# In a vessel there is 40 litres mixture of milk and water. There is 15% water in the mixture. The milkman sells 10 litres of mixture to a customer and thereafter adds 12.5 litres of water to the remaining mixture. What is the respective ratio of milk and water in the new mixture ?

Solution

Mixture remaining after selling 10 litres = 40 - 10 = 30 litres

Now, quantity of water in 30 litres of mixture = $$\frac{15}{100} * 30$$ = 4.5 litres

Milk = 30 - 4.5 = 25.5 litres

After adding 12.5 litres of water, total quantity of water = 12.5 + 4.5 = 17 litres

$$\therefore$$ Required ratio of milk and water = 25.5 : 17

= 1.5 : 1 = 3 : 2