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200 litres of a mixture contains 15% water and the rest is milk. The amount of milk that must be added so that the resulting mixture contains 87.5% milk is
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- 30 litres
- 35 litres
- 40 litres
- 45 litres
Correct Option: C
In 200 litres of mixture,
| Quantity of milk = | × 200 = 170 litres | 100 |
Quantity of water = 200 - 170 = 30 litres
Let the quantity of additional milk added be m litres.
According to the question,
| × 100 = 87.5 | 200 + m |
⇒ (170 + m) × 100 = 17500 + 87.5m
⇒ 100m – 87.5m = 17500 – 17000
⇒ 12.5m = 500
| ⇒ m = | = 40 litres | 12.5 |
