In: Accounting
A, B and C share profits and losses by allowing A and C to receive salaries of P20,000 each, salary of P9,000 to B and a 25% bonus to B after bonus. The remainder is divided in a 5:2:3 ratio to A, B and C each, respectively. If A and C received a total of P30,000, how much is the share of C?
| Let the total profit of the firm be 'x'. | ||
| Profit of the firm | X | |
| Salary of the partners | 49,000 | |
| (20,000 + 9,000 + 20,000) | ||
| Profit before bonus distribution | X - 49,000 | |
| Bonus to B (Working note) | (X-49000)*1/5 | |
| Profit after bonus distribution | (X-49000)*4/5 | |
| Profit ratio of A and C together = 5 + 3 = 8 | ||
| 10 10 10 | ||
| Profit distributed to A and C together | (X-49000)* 4 * 8 | |
| 5 10 | ||
| Given, total profit of A and C | 30,000 | |
| Therefore, | ||
| (X-49000)* 4 * 8 = 30,000 | ||
| 5 10 | ||
| X - 49,000 = 30,000 * 5 * 10 | ||
| 4 8 | ||
| X - 49,000 = 46,875 | ||
| X = 46,875 + 49,000 | ||
| x = 95,875 | ||
| C's profit share | (X-49000)* 4 * 8 | |
| 5 10 | ||
| C's profit share | (95,875 - 49,000)* 4 * 8 | |
| 5 10 | ||
| C's profit share | 11,250 | P |
| Let the total profit of the firm be 'x'. | ||
| Profit of the firm | X | |
| Salary of the partners | 49,000 | |
| (20,000 + 9,000 + 20,000) | ||
| Profit before bonus distribution | X - 49,000 | |
| Bonus to B | (X-49000)*1/5 | |
| Profit after bonus distribution | (X-49000)*4/5 | |
| Profit ratio of A and C together = 5 + 3 = 8 | ||
| 10 10 10 | ||
| Profit distributed to A and C together | (X-49000)* 4 * 8 | |
| 5 10 | ||
| Given, total profit of A and C | 30,000 | |
| Therefore, | ||
| (X-49000)* 4 * 8 = 30,000 | ||
| 5 10 | ||
| X - 49,000 = 30,000 * 5 * 10 | ||
| 4 8 | ||
| X - 49,000 = 46,875 | ||
| X = 46,875 + 49,000 | ||
| x = 95,875 | ||
| C's profit share | (X-49000)* 4 * 8 | |
| 5 10 | ||
| C's profit share | (95,875 - 49,000)* 4 * 8 | |
| 5 10 | ||
| C's profit share | 11,250 | P |
Working Note
| Bonus = 25% on profit after bonus | ||
| Profit after bonus distribution | 100 | |
| Bonus | 25 | |
| Profit before bonus distribution (100+25) | 125 | |
| Bonus = Profit before bonus distribution x 25/125 | ||
| Bonus = (x -49,000)*25/125 | ||
| Bonus = (x -49,000)*1/5 |