Question

8 Litres are drawn off from a can filled with milk and it is then filled with water. This Operation is then performed there more times. The ratio of the quantity of milk now left in the can to that of the total mixture is 16:81. How much milk did the can hold originally?

A)28 Litres

B)44 Litres

C)24 Litres

D)32 Litres

E)36 Litres​

Answer 1

Answer:

Let the quantity of the wine in the cask originally be x litres. 8 litres of wine is removed from it and replaced with water. This operation is done total 4 times. After 4 operation,

Wine : Water = 16 : 65 or Wine : Total = 16 : 81

[(x-8)/x]4 = 16/81

(x-8)/x = 2/3

3x - 24 = 2x

x = 24