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1. Three containers whose volumes are in the ratio of 2 : 3 : 4 are full of mixture of spirit and water. In the 1st container the ratio of spirits and water is 4 : 1, in 2nd container the ratio is 11 : 4 and on the 3rd container ratio is 7 : 3. All the three mixtures are mixed in a big container. The ratio of spirit and water in the resultant mixture is ?

A. 4 : 9

B. 9 : 5

C. 11 : 4

D. 5 : 10

Solution:

In 2 litres of first container,
Spirit =

2 \times \frac{4}{5} = \frac{8}{5}

water =

2 \times \frac{1}{5} = \frac{2}{5}

In 3 litres of first container,
Spirit =

3 \times \frac{11}{15} = \frac{11}{5}

water =

3 \times \frac{4}{15} = \frac{4}{5}

In 4 litres of first container,
Spirit =

4 \times \frac{7}{10} = \frac{14}{5}

water =

4 \times \frac{3}{10} = \frac{6}{5}

∴ Required ratio

= (\frac{8}{5} + \frac{11}{5} + \frac{14}{5}) : (\frac{2}{5} + \frac{4}{5} + \frac{6}{5})

= \frac{33}{5} : \frac{12}{5}

= 33 : 12
= 11 : 4

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