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Two vessels A and B contain milk and water in the ratios 7 : 5 and 17 :7 respectively . In what ratio
mixture from two vessels should be mixed to get a new mixture containing milk and water in the ratio 5 : 3 ?
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- 1 : 3
- 2 : 3
- 2 : 1
- 3 : 2
Correct Option: C
First of all we write the fraction of milk present in three mixtures.
Mixture A .
Ratio of milk and water = 7 : 5 .
Sum of the ratios = 7 + 5 = 12
| ∴ Fraction of milk = | |
| 12 |
Similarly ,
In mixture B ,
| Fraction of milk = | |
| 24 |
In combination of A and B ,
| Fraction of milk = | |
| 8 |
We now apply Alligation Rule on these fractions .
∴ Ratio of A & B
| = | : | ; 2 : 1 . | ||
| 24 | 24 |
