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A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4 : 5. The quantity of alcohol in the given mixture is
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- 3 litres
- 4 litres
- 15 litres
- 10 litres
Correct Option: D
In original mixture,
Alcohol = 4x litres
Water = 3x litres
On adding 5 litres of water,
= | ||
3x + 5 | 5 |
⇒ 20x = 12x + 20
⇒ 8x = 20
⇒ x = | = | ||
8 | 2 |
⇒ Quantity of alcohol
= 4x = 4 × | |
2 |
= 10 litres