Question
9 litre of milk is taken out from a container and
replaced by water. This process is repeated once more, the ratio of quantity in container (M:W) is 16 : 9. Now find the initial quantity of milk in the container?Solution
Let the initial quantity of milk in the container was = 25x So 25x (1- 9/25x)^n = 16x ((25x-9)/25x)^2= 16x/25x (25x-9)/25x = √(16/25) (25x-9)/25x = 4/5 25x - 9 = 20x 5x = 9 x = 9/5 So initial quantity of milk = 25x = 25 × 9/5 = 45 litre
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