2016 · Q29
There are twelve friends A,B, C, D, E, F, G, H, I, J, K and L who invested money in some business in the ratio of 1 : 2 : 3 : 4 : 5 : 6 : 7 : 8 : 9 : 10 : 11 : 12 and the duration for which they invested the money is in the ratio of 1 2 : 1 1 : 1 0 : 9 : 8 : 7 : 6 : 5 : 4 : 3 : 2 : 1 respectively. Who will get the maximum profit at the end of the year ?
Elementary MathematicsRatio and Proportion
- AF only
- BG only
- CBoth F and G
- DNeither F nor G
Explanation
Profit share is proportional to investment × duration: 1×12, 2×11, …, 12×1 give 12, 22, 30, 36, 40, 42, 42, 40, 36, 30, 22, 12. The maximum value 42 is shared by F (6×7) and G (7×6). Hence both F and G get the maximum profit (option C).