Question

There are two jars. One contains 8 litres of brandy, second contains 8 litres of water. One litre of brandy is transferred from first jar to second jar. Again one litre of mixture is taken out from jar second and transferred to jar 1. Ratio of the amount of water in first jar to the amount of brandy in second jar is

• A. 6 : 7
• B. 7 : 6
• C. 1 : 1
• D. 8 : 9

Hint:

There are two jars. One contains 8 litres of brandy, second contains 8 litres of water. One litre of brandy is transferred from first jar to second jar. Again one litre of mixture is taken out from jar second and transferred to jar 1. Ratio of the amount of water in first jar to the amount of brandy in second jar is

Answer 1

The Correct Option is C

Initial State: Jar 1: 8L Brandy (B), 0L Water(W) Jar2: 0L B, 8L W Step1: Transfer 1L B from J1 to J2. Jar1: 7L B, 0L W (Total 7L) Jar2: 1L B, 8L W (Total 9L) Step2: Transfer 1L mixture from J2 to J1. Mixture in J2: 1/9 B, 8/9 W concentration. Amount transferred: (1/9)L B, (8/9)L W. Final State: Jar 1: B = 7 - 1/9 = 62/9 L. W = 0 + 8/9 = 8/9 L. Jar 2: B=1 - 1/9=8/9L.W=8 - 8/9=64/9L. RatioRequired: (WaterinJ1): (Brandy in J2) = (8/9) : (8/9) =1:1 This matches option (3).