Tanvi started a business investing Rs. 45,000. After 8 months Anisha joined her with a capital of Rs. 52,000. At the end of the year the total profit was Rs. 56,165. What is the share of profits of Anisha ?
Tanvi invested Rs. 45,000 for 12 months
Anisha invested Rs. 52,000 for 4 months
Ratio of profit received by Tanvi and Anisha
= $$(45000 \times 12) : (52000 \times 4)$$
= $$(45 \times 3) : (52) = 135 : 52$$
Total profit = Rs. 56,165
$$\therefore$$ Anita's share of profit = $$\frac{52}{135 + 52} \times 56165$$
$$\approx 52 \times 300 = Rs. 15,600$$
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