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 \[=\frac{21}{21+17+12}\times 70000\] |
\[=\frac{21}{50}\times 70000=\text{Rs}\text{.}\,\,29400\] |
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