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A container contains two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with B, the ratio of A and B becomes 1:1. How many litres of liquid A was in the container initially ?
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- 26
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16 1 2 -
36 3 4 -
26 3 4
Correct Option: C
Let Liquid A = 7x litres
Liquid B = 5x litres
In 9 litres,
| A = | × 9 = | litres | ||
| 12 | 4 |
| B = | × 9 = | litres | ||
| 12 | 4 |
| ∴ 7x − | = 5x − | + 9 | ||
| 4 | 4 |
| ⇒ 2x = | − | + 9 | ||
| 4 | 4 |
| ⇒ 2x = | = | ||
| 4 | 4 |
| ⇒ x = | |
| 4 |
| ∴ Liquid A = 7 × | |
| 4 |
| = | = 36 | litre | ||
| 4 | 4 |
