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 total profit. What is the share of Mr. C in the profit ?

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 total profit. What is the share of Mr. C in the profit ?
1). Rs. 7850
2). Rs. 7550
3). Rs. 7500
4). Rs. 8500

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

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