2023 · Q6
A, B, C, D and E enter into a business. They invest money in the ratio 2 : 3 : 4 : 5 : 6. However, the time invested by them is in the ratio 6 : 5 : 4 : 3 : 2. If the profit distributed is directly proportional to time and money invested, then who receives the highest amount of profit?
Elementary MathematicsRatio and Proportion
- AC
- BBoth B and D
- CBoth C and D
- DAll get equal profit
Explanation
Profit shares are proportional to money × time: A: 2×6 = 12, B: 3×5 = 15, C: 4×4 = 16, D: 5×3 = 15, E: 6×2 = 12. The largest product is C's 16, so C receives the highest profit (A).