| A, B and C started a business together. The respective ratio of investments of A and B was 3 : 5 and the respective ratio of investments of B and C was 10 : 13. If at the end of the year C received Rs. 5876 as his share of annual profit, what was the total annual profit earned by all of them together? |
A) Rs. 13108
B) Rs. 12756
C) Rs. 13224
D) Rs. 12984
E) Rs. 12188
Correct Answer: A
Solution :
| Given, A : B = 3 : 5 = 6 : 10 |
| and B : C = 10 : 13 |
| \[\therefore \] A: B: C = 6: 10: 13 |
| Ratio of share of annual profit of A, B and C |
| = Ratio of investment of A, B and C = 6 : 10 : 13 |
| Let shares of annual profit of A, B and C be 6x, 10x and 13x, respectively. Then, |
| 13x = 5876 |
| \[\Rightarrow \] \[x=452\] |
| \[\therefore \] Total amount of profit earned by them |
| \[=6x+10x+13x\] |
| \[=452\times 29=Rs.\,\,13108\] |
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