A container contains 100 liters of milk. From this container, 10 liters of milk is taken out and replaced by water. This process is repeated two more times. The amount of milk left in the container now is: |
85 liters 70 liters 67.1 liters 72.9 liters |
72.9 liters |
The correct answer is Option (4) → 72.9 liters Total volume of container = 100 liters Milk taken out each time = 10 liters Fraction of milk left after each operation = $\frac{100-10}{100}=\frac{90}{100}=\frac{9}{10}$ After 3 repetitions, amount of milk left = $100\left(\frac{9}{10}\right)^3$ $=100\cdot\frac{729}{1000}$ $=72.9$ liters Milk left = 72.9 liters |