Quantitative Aptitude Ques 1588

Question: A and B entered a partnership investing Rs. 16000 and Rs. 12000, respectively. After 3 months, A takes out Rs. 5000, while B puts in Rs. 5000 more. After 3 months more, C joins the business with a capital of Rs. 21000. After a year, they earned a profit of Rs. 13200. By what value does the share of B exceeds the share of C?

Options:

A) Rs. 1600

B) Rs. 1800

C) Rs. 2100

D) Rs. 2300

Show Answer

Answer:

Correct Answer: B

Solution:

  • A’s share : B’s share : C’s share $ =[16000\times 3+(16000-5000)\times 9]: $ $ [12000\times 3+(12000+5000)\times 9]:(21000\times 6) $ $ =(16\times 3+11\times 9):(12\times 3+17\times 9):(21\times 6) $ $ =147:189:126=7:9:6 $ Hence, B’s share exceeds C’s share by $ \frac{13200}{7+9+6}(9-6)=\frac{13200\times 3}{22}=Rs.1800 $
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