Quantitative Aptitude Ques 2478

Question: 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?

Options:

A) Rs. 13108

B) Rs. 12756

C) Rs. 13224

D) Rs. 12984

E) Rs. 12188

Show Answer

Answer:

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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