A mixture contains acid and water in the ratio of 7 : 4. If 2 litres of water is added to it, then the ratio of acid and water becomes 7 : 5. What is the quantity of acid in the mixture?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 14 litres.
The initial quantity of acid = ( 7x ) liters
The initial quantity of water = ( 4x) liters
After adding 2 liters of water, the new quantity of water becomes ( 4x + 2) liters.
The ratio of acid to water becomes 7 : 5. This gives us the equation:
⇒
⇒ 5 × 7x = 7 × (4x + 2)
⇒ 35x = 28x + 14
⇒ 7x = 14
⇒ x = 2
The initial quantity of acid is ( 7x = 7 × 2 = 14 ) liters.