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 tot…

Solution
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)