2024 · Q31
A bottle contains spirit and water in the ratio 1 : 4 and another identical bottle contains spirit and water in the ratio 4 : 1. In what ratio should the mixtures in the two bottles be mixed to get a new mixture in which the ratio of spirit to water is 1 : 3?
Elementary MathematicsRatio and Proportion
- A5 : 1
- B6 : 1
- C10 : 1
- D11 : 1
Explanation
By alligation on the spirit fractions 1/5, 4/5 and the target 1/4, the mixing ratio is (4/5 − 1/4) : (1/4 − 1/5). This simplifies to (11/20) : (1/20). The ratio is 11 : 1, option (d).