From cylinder A containing 108 litre of mixture of water and alcohol in ratio of `8:1,36` litre of the mixture is taken out and poured into cylinder B in which ratio of water to alcohol is `3:1`. If difference between total water and total alcohol in cylinder B is 60 litre then find the quantity of intial mixture in cylinder B.

Options

A. 60 Litre
B. 48 Litre
C. 64 Litre
D. 66 Litre

Answer

c

Explanation

Let initially water and alcohol in Cylinder B is 3x litre and x litre respectively.
Now
` 3x+(8)/(9) xx36-x-(1)/(9) xx36=60`
`3x+32-x-4=60`
`x=16`