| X and Y entered into partnership with Rs. 700 and Rs. 600, respectively. After 3 months, X withdraw 2/7 of his stock but after 3 months, he puts back 3/5 of what he had withdrawn. The profit at the end of the year is Rs. 726. How much of this should X receive? |
A) Rs. 336
B) Rs. 366
C) Rs. 633
D) Rs. 663
E) None of these
Correct Answer: B
Solution :
| X's investment \[=(700\times 3)+\left( 700\times \frac{5}{7}\times 3 \right)\] |
| \[+\left( 500+200\times \frac{3}{5} \right)\times 6=\text{Rs}\text{.}\,\,\text{7320}\] |
| Y's investment \[=600\times 12=\text{Rs}\text{.}\,\,\text{7200}\] |
| \[\therefore \]X's share from profit |
| \[=\frac{7320}{(7320+7200)}\times 726=\text{Rs}\text{.}\,\,366\] |
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