A starts a business with Rs. 2500. After one month from the start of the business, B joined with Rs. 4500 and A withdrew completely after eleven months from the start of the business. If the difference between A’s and B’s respective shares in the annual profit was Rs. 4800, what was the annual profit earned?
Amount invested by A = Rs. 2500 and by B = Rs. 4500
Both invested for 11 months.
Ratio of profit shared by A and B
= $$(2500 \times 11) : (4500 \times 11)$$
= $$5 : 9$$
Let total profit earned by A and B respectively = $$Rs. 5x$$ and $$Rs. 9x$$
=> $$9x - 5x = 4800$$
=> $$x = \frac{4800}{4} = 1200$$
$$\therefore$$ Total profit = $$9x + 5x = 14x$$
= $$14 \times 1200 = Rs. 16,800$$
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