Discussion
The investment of A is twice as that of B and thrice as that of C. B invested for twice the months than A and thrice the months than C. Who will earn the highest profit?
Answer: D
Profit shares are proportional to capital multiplied by time.
Take A's investment as 6 units, so B has 3 and C has 2. Let A's time be \( t \); then B's is \( 2t \) and C's is \( \tfrac{2t}{3} \).
\[ A: 6 \times t = 6t \]
\[ B: 3 \times 2t = 6t \]
\[ C: 2 \times \frac{2t}{3} = \frac{4t}{3} \]
A and B tie for the largest share, so both A and B earn the highest profit.
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