Two jars A and B are containing the solutions of two liquids P and Q. The ratio of the liquids P and Q in the jars A and B are 2:19 and 1:11, respectively. If 7 litres of the solution of jar A and 4 litres of the solution of jar B are mixed, what is the ratio of the solutions Pand Q in the new mixture?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 1:10.
Ratio of P to Q in Jar A = 2 : 19
Amount of P in 7 liters of Jar A = (2/21) × 7 = 2/3 liters
Amount of Q in 7 liters of Jar A = (19/21) × 7 = 133/21 liters
Ratio of P to Q in Jar B = 1:11
Amount of P in 4 liters of Jar B = (1/12) × 4 = 1/3 liters
Amount of Q in 4 liters of Jar B = (11/12) × 4 = 11/3 liters
Ratio of P to Q in the Mixture = [(2/3) + (1/3)] : [(133/21) + (11/3)] = 1 : 10
Therefore, the ratio of the solutions P and Q in the new mixture is 1:10.