Banking Quantitative Aptitude Sample Paper Quantitative Aptitude Sample Paper-45

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?

A) Rs. 29400

B) Rs. 30000

C) Rs. 35000

D) Rs. 40000

E) None of the above

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 \[=(x+5000)\]

\[=12000+5000=\,\,\text{Rs}.17000\]

Investment of M \[=(x+9000)\]

\[=12000+9000=\,\,\text{Rs}.21000\]

M's share: N's share: P's share

\[=21000:17000:12000\]

\[=21:17:12\]

Hence, M's share \[=\frac{21}{21+17+12}\times 70000\]

\[=\frac{21}{50}\times 70000=\text{Rs}\text{.}\,\,29400\]