A) Rs. 4000
B) Rs. 5000
C) Rs. 3250
D) Rs. 4800
Correct Answer: A
Solution :
| [a] Let the total capital be 7x and the total time be y months. Then, A invests Rs. \[\frac{x}{6}\] for \[\frac{y}{6}\] months; B invests Rs. \[\frac{x}{3}\] for \[\frac{y}{3}\] months; C invests Rs. \[\left[ x-\left( \frac{x}{6}+\frac{x}{3} \right) \right]=\text{Rs}.\,\,\frac{x}{2}\] for y months. Then, \[A:B:C=\left( \frac{x}{6}\times \frac{y}{6} \right):\left( \frac{x}{3}\times \frac{y}{3} \right):\left( \frac{x}{2}\times y \right)\] \[=\frac{xy}{36}:\frac{xy}{9}:\frac{xy}{2}=\frac{1}{36}:\frac{1}{9}:\frac{1}{2}=1:4:18\] B's share \[=\text{Rs}.\,\,\left( 23000\times \frac{4}{23} \right)=\text{Rs}.\,\,4000\] |
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