| A, B and C started a business, A invests \[\frac{1}{2}\]capital for \[\frac{1}{4}\]times, B invests \[\frac{1}{8}\]of capital for \[\frac{1}{2}\] times and C invests the remaining capital for whole time. Find the share of B in the total profit of Rs. 9900. |
A) Rs. 2200
B) Rs. 1100
C) Rs. 6600
D) Rs. 4400
Correct Answer: B
Solution :
| C's capital\[=1-\left( \frac{1}{2}+\frac{1}{8} \right)=1-\frac{5}{8}=\frac{3}{8}\] |
| Ratio of capital of A, B and C, |
| \[\left( \frac{1}{2}\times \frac{1}{4} \right):\left( \frac{1}{8}\times \frac{1}{2} \right):\left( \frac{3}{8}\times 1 \right)\] |
| \[=\frac{1}{8}:\frac{1}{16}:\frac{3}{8}=2:1:6\] |
| B's share \[=\frac{1}{9}\times 9900=\text{Rs}\text{. 1100}\] |
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