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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 spirit and water is 4 : 1, in the 2nd container the ratio is 11 : 4 and in 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 :
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- 4 : 9
- 11 : 4
- 5 : 10
- 9 : 5
Correct Option: B
In 2 litres of first container,
Spirit = | litre, Water = | litre | ||
5 | 5 |
In 3 litres of second container,
Spirit = 3 × | = | litres | ||
15 | 5 |
Water = 3 × | = | litre | ||
15 | 5 |
In 4 litres of third container,
Spirit = 4 × | = | litres | ||
10 | 5 |
Water = 4 × | = | litres | ||
10 | 5 |
∴ Required ratio
= | + | + | : | + | + | ||||||||||
5 | 5 | 5 | 5 | 5 | 5 |
= | : | = 33 : 12 = 11 : 4 | ||
5 | 5 |