Correct Answer - Option 3 : 107 ∶ 43
Given:
Capacities ratio of three containers = 3 ∶ 4 ∶ 3
The ratio of alcohol to water in the first container = 2 ∶ 1
The ratio of alcohol to water in the second container = 5 ∶ 1
The ratio of alcohol to water in the third container = 3 ∶ 2
Calculation:
First, we have to make the sum of ratios equal
⇒ The ratio of alcohol to water in the first container = 2/1 = (2 × 10)/(1 × 10) = 20/10
⇒ The ratio of alcohol to water in the second container = 5/1 = (5 × 5)/(1 × 5) = 25/5
⇒ The ratio of alcohol to water in the third container = 3/2 = (3 × 6)/(2 × 6) = 18/12
Now, they are mixed in the ratio 3 ∶ 4 ∶ 3
Alcohol = (20 × 3) + (25 × 4) + (18 × 3)
⇒ 214
Water = (10 × 3) + (5 × 4) + (12 × 3)
⇒ 86
Ratio of alcohol to water = 214 ∶ 86 = 107 ∶ 43
∴ The ratio of alcohol to water is 107 ∶ 43.