Quantitative Aptitude Ques 2265

Question: A and B started a business by investing Rs. 18000 and Rs. 24000, respectively. At the end of 4th month from the start of the business, C joins with Rs. 15000. At the end of 8th month B quits at which time C invests Rs. 3000 more. At the end of 10th month B rejoins with the same investment. If profit at the end of the year is Rs. 12005, what is B’s share of profit? [LIC (AAO) 2014]

Options:

A) Rs. 4000

B) Rs. 4440

C) Rs. 4360

D) Rs. 4900

E) Rs. 3920

Show Answer

Answer:

Correct Answer: B

Solution:

  • Profit ratio of A, B and C = Investment by them $ \times $ Time period

$ \Rightarrow $ Profit ratio of A, B and C $ =18000\times 12:24000\times 8+24000\times 2 $ $ :15000\times 8+18000\times 4 $ $ =(18\times 12):(24\times 10):(15\times 8+18\times 4) $ $ =216:240:192=9:10:8 $ [divided by 24]

$ \therefore $ B’s share of profit $ =\frac{10}{(9+10+8)}\times 12005 $ $ =\frac{120050}{27}=4446.29\approx Rs.,4440 $

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