Three persons A, B and C start a business with 12800, 16800 and 9600 respectively. At the end of the year. B received Rs. 13125 as share in…

Solution
Given that A, B and C start a business with 12800, 16800 and 9600 respectively. Time period for which all of them remain invested = 12 months
So division of profits would be in the ratio (12800 X 12) : (16800 X 12) : (9600 X 12)
A : B : C = 16 : 21 : 12
let the profit be Rs P
Given that share of B is Rs 13125
$\frac{21}{49}X P$ = 13125
P = 30625
Share of C = $\frac{12}{49}\times 30625$ = Rs 7500