Correct Answer - Option 1 : 27 ∶ 53
Given:
The total quantity of mixture = 80 liters
The ratio of alcohol and water = 3 ∶ 5
Calculation:
Let the quantity of alcohol and water be 3x and 5x respectively
According to the question,
If 8 liters of mixture is replaced by 8 liters of water, then
Quantity of water = 5x + 8
Quantity of alcohol = 3x
5x + 8 + 3x = 80
⇒ 8x + 8 = 80
⇒ 8x = 80 - 8
⇒ 8x = 72
⇒ x = 9
Now, the new ratio of alcohol and water = (3x) ∶ (5x + 8)
⇒ (3 × 9) ∶ (5 × 9 + 8)
⇒ 27 ∶ 53
∴ The new ratio of alcohol and water is 27 ∶ 53.