2024 · Q86
There are two containers A and B. In container A, the ratio of milk and water is 1 : 3 and in container B, the ratio of milk and water is m : n. If the mixture in the containers A and B are mixed in the ratio 2 : 3 to get 20 litres of a mixture having milk and water in the ratio 3 : 7, then what is the value of (m)/(n)?
Elementary MathematicsRatio and Proportion
- A(1)/(2)
- B(2)/(3)
- C(3)/(4)
- D(4)/(5)
Explanation
8 L from A (1:3) gives 2 L milk; final 20 L at 3:7 needs 6 L milk, so 12 L from B gives 4 L: 12m/(m+n) = 4, i.e. m/(m+n) = 1/3, giving n = 2m and m/n = 1/2 — option A.