| A and B entered a partnership investing Rs. 16000 and Rs. 12000, respectively. After 3 months, A takes out Rs. 5000, while B puts in Rs. 5000 more. After 3 months more, C joins the business with a capital of Rs. 21000. After a year, they earned a profit of Rs. 13200. By what value does the share of B exceeds the share of C? |
A) Rs. 1600
B) Rs. 1800
C) Rs. 2100
D) Rs. 2300
Correct Answer: B
Solution :
| A's share : B's share : C's share |
| \[=[16000\times 3+(16000-5000)\times 9]:\] |
| \[[12000\times 3+(12000+5000)\times 9]:(21000\times 6)\] |
| \[=(16\times 3+11\times 9):(12\times 3+17\times 9):(21\times 6)\] |
| \[=147:189:126=7:9:6\] |
| Hence, B's share exceeds C's share by |
| \[\frac{13200}{7+9+6}(9-6)=\frac{13200\times 3}{22}=\text{Rs}.1800\] |
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