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Three vessels of equal volumes contain water and syrup in the ratio 4 : 1 , 5 : 2 and 7 : 3 respectively . When they are thoroughly mixed together in a large vessel, find the resulting ratio of water and syrup in the mixture . (Assume that in the mixture total volume remains unaltered ).
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- 11 : 30
- 19 : 11
- 31 : 11
- 11 : 35
Correct Option: C
Let the capacity of each vessel be x litres.
∴ Ratio
= | ) | ) | : | ) | ) | ||||||||||
5 | 7 | 10 | 5 | 7 | 10 |
= | : | ||
70 | 70 |
= | : | ||
70 | 70 |
= 31 : 11