Correct Answer - Option 4 : 50
Given :
The mixture contains 46 litres of water.
The mixture contains ‘x’ litres of milk, which is 25% of the total amount
The mixture contains 23 litres of orange juice.
Concept used :
Percentage of the given component in the mixture = (Amount of the given component/Total amount of all the components) × 100
Calculations :
The total amount of all the components = Total amount of water, milk and orange juice
⇒ 46 + x + 23 (water = 46 liters, milk = x liters and orange juice = 23 liters)
⇒ (69 + x) litres
Now, according to the question
25 = x/(x + 69) × 100 (Formula given above for percentage of the component)
25/100 = x/(x + 69)
1/4 = x/(x + 69)
⇒ x = 23 liters
Now
Percentage of milk of the total amount of water = (Amount of milk/ Amount of water) × 100
⇒ (23/46) × 100 (Amount of milk = 23 litres and amount of water = 46 litres)
⇒ (1/2) × 100
⇒ 50%
∴ The amount of milk is 50% of the amount of water