CMA Foundation · Fundamentals of Business Mathematics and Statistics · Ratios, Variations and Proportions
A mixture of 40 litres contains milk and water in the ratio 3 : 1. How many litres of water must be added so that the ratio of milk to water becomes 3 : 2?
10 litres of water must be added. The mixture holds 30 litres of milk and 10 litres of water. For milk to water to be 3 : 2, water must be 20 litres, so the extra water needed is 20 minus 10, which is 10 litres.
- A5 litres
- B10 litresCorrect
- C15 litres
- D20 litres
Explanation
Milk = 40 × 3/4 = 30 litres and water = 10 litres. For the ratio 3 : 2, water must be 30 × 2/3 = 20 litres, so 20 − 10 = 10 litres must be added. Choosing 20 litres is wrong because it is the final water quantity, not the amount added.
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