80 litres of a mixture of spirit and water in the ratio 7:9

Question: 80 litres of a mixture of spirit and water in the ratio 7 : 9 is present in a container A. 20 litres of
the mixture is transferred to another container
B. Then the container A is filled with 20 litres of
water. Then 32 litres of the mixture is again
transferred to container B. The ratio of water to
spirit of the mixture in container B is equal to:

  • (a) 87 : 41
  • (b) 131 : 77
  • (c) 77 : 131
  • (d) 41 : 87

Answer:

Spirit In container B = $\frac{34}{4} + \frac{21}{2} = \frac{77}{4}$

$\frac{Sp}{Mix} = \frac{77/4}{52} = \frac{77}{208}$

Answer $\Rightarrow$ 131 : 77

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