Ram and Hari invest Rs. 18,000 and Rs. 24,000 respectively. If the annual…

Concept: When two or more people invest for the same period of time, the annual profit is divided strictly in the ratio of their invested capital (profit-sharing ratio = ratio of investments, since Investment x Time is proportional and Time cancels out here).

1. Write the ratio of investments: Ram : Hari = 18000 : 24000.

2. Simplify the ratio by dividing both terms by their HCF, 6000: 18000/6000 : 24000/6000 = 3 : 4.

3. Add the ratio terms to get the total number of parts: 3 + 4 = 7.

4. Ram's share of the profit = (Ram's ratio part / total parts) x total profit = (3/7) x 1400 = 600.

Cross-check: Hari's share works out to (4/7) x 1400 = 800. Adding both shares, 600 + 800 = 1400, which matches the given total annual profit -- confirming the split is correct.

So, Ram receives Rs. 600 from the annual profit.