Prabha started a business investing Rs. 32,000. After 5 months Amit joined her with a capital of Rs. 22,000. At the end of the year the total profit was Rs. 16,409. What is Prabha's share in the profit ?

Amount invested by Prabha = Rs. 32,000 and amount invested by Amit = Rs. 22,000

Ratio of amount invested by Prabha : Amit = 16 : 11

Time period in which Prabha invested = 12 months and Amit =76 months

Ratio of time periods of Prabha : Amit = 12 : 7

=> Ratio of profits earned by Prabha : Amit = $$(16 \times 12)$$:$$(11 \times 7)$$

= 192 : 77

Total profit earned = Rs. 16,409

$$\therefore$$ Prabha’s share in the profit = $$\frac{192}{(192+77)} \times 16,409$$

= $$192 \times 61 = Rs. 11,712$$

=> Ans - (B)