Question

A is 120 litre of mixture of milk and water in the ratio 17 : 7. 40% is poured out and poured into vessel X. X is a 100 litre mixture of equal milk and water. Find the new ratio of milk and water.
1. 32 : 21
2. 21 : 16
3. 15 : 8
4. 25 : 14
5. 18 : 11

Answer 1

Correct Answer - Option 2 : 21 : 16

Given:

Mixture of milk and water in the ratio = 17 : 7

Total mixture of milk and water = 120 litre

Mixture poured out into vessel X = 40 %

X is a mixture of equal milk and water = 100 litre

Calculation:

Mixture of milk = 17/24 × 120

⇒ 85 litre

Mixture of water = 120 – 85

⇒ 35 litre

Now, according to question

Mixture of milk poured out = 85 × 2/5

⇒ 34 litre

Mixture of water poured out = 35 × 2/5

⇒ 14

Again, from the question 

X is a 100 litre mixture of equal milk and water means 50% milk and 50% water

Then, 

New ratio of milk and water = (50 + 34) : (50 + 14)

⇒ 84 : 64 

⇒ 21 : 16

∴ New ratio of milk and water is 21 : 16