Quantitative Aptitude Ques 1950

Question: M, N and P invest Rs. 50000 for a business. M invests Rs. 4000 more than N and N invests Rs. 5000 more than P. Out of the total profit of Rs. 70000, what is the share received by M?

Options:

A) Rs. 29400

B) Rs. 30000

C) Rs. 35000

D) Rs. 40000

E) None of the above

Show Answer

Answer:

Correct Answer: A

Solution:

  • Let investment of P = Rs. x Then, investment of N = Rs. $ (x+5000) $ and investment of M $ =(x+5000)+4000 $ $ =Rs.,(x+9000) $ According to the question, $ x+(x+5000)+(x+9000)=50000 $

$ \Rightarrow $ $ 3x+14000=50000 $

$ \Rightarrow $ $ 3x=50000-14000=36000 $

$ \therefore $ $ x=\frac{36000}{3}=12000 $ Clearly, investment of P = Rs. 12000 Investment of N $ =(x+5000) $ $ =12000+5000=Rs.17000 $ Investment of M $ =(x+9000) $ $ =12000+9000=Rs.21000 $ M’s share: N’s share: P’s share $ =21000:17000:12000 $ $ =21:17:12 $ Hence, M’s share $ =\frac{21}{21+17+12}\times 70000 $ $ =\frac{21}{50}\times 70000=Rs\text{.}29400 $

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