A pot contains 50 litres of water. 5 litres of water is taken and the same is replaced by wine. The process is repeated again. Find the proportion of wine and water in the resulting mixture.

The pot contains 50 litres of water. As 5 litres of water is taken out and mixed with wine, the ratio of water : wine becomes 5 : 45, i.e. 1 : 9. Again, the same process is repeated. But, this time in 5 litres of solution, wine and water both are replaced in a ratio of 1 : 9. So, the present wine in the pot = (5 - 0.5 + 5) as 5 litre of wine is mixed in the pot again, i.e. wine becomes 9.5 litres. At the same time, the water remains as (45 - 4.5), i.e. 40.5. So, the ratio of wine : water = 9.5 : 40.5 => 19 : 81. So, option 2 is correct.