A mixture contains alcohol and water in the ratio of 12: 5. On adding 14 liters of water, the ratio of alcohol to water becomes 4: 3. The quantity of alcohol in the mixture is:
Show answer & explanation
Correct answer: D
Explanation
The correct answer is otpion 4 i.e. 42L
The initial ratio of alcohol to water = 12 : 5
Let the quantity of alcohol be 12x and the quantity of water be 5x.
So, 12x/(5x + 14) = 4/3
⇒ 36x = 20x + 56
⇒ 36x - 20x = 56
⇒ 16x = 56
⇒ x = 56/16 = 3.5
⇒ 12x = 3.5 × 12 = 42
Therefore, the quantity of alcohol in the mixture is 42L.