Question

From the 50 litres of milk, 5 litres of milk is taken
out and after it 5 litres of water is added to the rest amount of milk.
Again 5 litres of mixture of milk and water is drawn out and it was
replaced by 5 litres of water. If this process is continued similarly for
the third time, the amount of milk left after the third replacement:
(b) 36.45 L (C) 40.5 L (d) 425L
(a) 45 L​

Answer 1

Answer:

General Formula:

Final or reduced concentration = initial concentration x (1−amount being replaced in each operationtotal amount)n

where n is the number of times the same operation is being repeated. The "amount being replaced" could be pure or mixture as per the case. similarly ,"total amount" could also be either pure or mixture. Here amount being replaced denotes the quantity which is to be withdrawn in each time.

Therefore, 50×(1−550)3

= 36.45 L