A and B started a business with the investments in the ratio of 5 : 3 respectively. After 6 months from the start of the business, C joined them and the respective ratio between the investments of B and C was 2 : 3. If the annual profit earned by them was Rs. 12,300, what was the difference between B’s share and C’s share in the profit?
Ratio of investments
A : B = 5 : 3 = 10 : 6
B : C = 2 : 3 = 6 : 9
A and B invested for 12 months while C invested for 6 months
Ratio of profits = $$(10x \times 12) : (6x \times 12) : (9x \times 6)$$
= 20 : 12 : 9
Required difference = $$\frac{12 - 9}{41} \times 12300$$
= Rs. 900
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