Sunil started a juice (lemon syrup + water) counter. Initially, he had 145 liters of juice, which had 30% water in it. He sold 22 liters of the juice. Then he added an equal amount of lemon syrup and water. Now the ratio of water to lemon syrup became 1:2. How much water was added later on?
Show answer & explanation
Correct answer: D
Explanation
Given:
Initial mixture = 145 liters
Water = 30%
Initially
Water = 30% × 145 = 43.5 liters
Lemonade = 145 − 43.5 = 101.5 liters
Now 22 liters of mixture sold
Water sold = 30% × 22 = 6.6 liters
Shelf sold = 22 − 6.6 = 15.4 liters
Now remaining
Water = 43.5 − 6.6 = 36.9 liters
Shelf = 101.5 − 15.4 = 86.1 liters
Let x liters of water and x liters of sherbet be mixed.
Water = 36.9 + x
Shelf = 86.1 + x
As per question
(36.9 + x) / (86.1 + x) = 1 / 2
2(36.9 + x) = 86.1 + x
73.8 + 2x = 86.1 + x
x = 12.3 liters of water