Question

The ratio of milk and water in a mixture of 60 liters is 7 : 8 .Now, 10 liters of mixture is replaced by 10 liters of milk, then find the ratio of milk and water in the final mixture
1. 4 : 3
2. 8 : 5
3. 5 : 4
4. 5 : 3

Answer 1

Correct Answer - Option 3 : 5 : 4

Given:

Initial Quantity of mixture = 60 liters

Ratio of milk and water initially in the mixture = 7 : 8

10 liters of mixture is replaced by 10 liters of milk

Calculation:

Initial amount of milk in mixture = 7/15 × 60 liters

⇒ 28 liters

Initial amount of water = 60 – 28 liters 

⇒ 32 liters

Now, Amount of milk and water in10 liters of mixture

Milk = 7/15 × 10 liters

⇒ milk = 14/3 liters

water = 8/15 × 10 liters

⇒ water = 16/3 liters

Amount of 10 liters of mixture was replaced  by 10 liters of milk 

Amount of milk in the mixture = 28 – 14/3 + 10 liters

⇒ 100/3 liters

Amount of water in the mixture = 32 – 16/3 liters 

⇒ 80/3 liters

Final ratio of milk and water = 100/3 : 80/3

⇒ 5 : 4

∴ The ratio of milk and water in the final mixture is 5 : 4