2025 · Q55
In a business, A, B and C had invested in the ratio of 2:3:5, but they all earned the same amount of profit at the end. If the profit is proportional to the amount as well as the duration of the investment, what will be the ratio of duration of their investments?
General Mental Ability, Quantitative Aptitude and StatisticsRatio and partnership
- A5:3:2
- B2:3:5
- C10:15:6
- D15:10:6
Explanation
Since profit is proportional to amount x duration and all three earn equal profit, 2.tA = 3.tB = 5.tC. The durations are therefore in the ratio 1/2 : 1/3 : 1/5, which on multiplying by 30 gives 15 : 10 : 6. The ratio is the inverse of the investment ratio, not the same as it.