Question

In a mixture of salt and water of 190 liters, there is salt and water in the ratio 14 : 5 how much water needs to be added to get ratio 10 : 9?
1. 76
2. 80
3. 60
4. 66
5. 70

Answer 1

Correct Answer - Option 1 : 76

Given:

Volume of mixture = 190 liters

Initial ratio of mixture = 14 : 5

Required ratio of mixture = 10 : 9

Formula used:

(Initial quantity of liquid + Liquid to be added)/(Quantity of liquid 2) = X : Y

Here, X : Y is required ratio of mixture

Calculations:

Here, quantity of mixture = 190 liters

⇒ Quantity of water in the mixture = (5/19) × 190

⇒ Quantity of water in the mixture = 50

Now, assuming ‘X’ to be the quantity of water to be added in the mixture.

⇒ (50 + X)/(190 - 50) = 9/10

⇒ 50 + X = 9 × 140/10

⇒ X = 126 - 50

⇒ X = 76

∴ 76 liters of water needs to be added to get ratio of 10 : 9