Question: A, B and C started a business by investing Rs. 20000, Rs. 28000 and Rs. 36000 respectively. After 6 months, A and B withdrew an amount of Rs. 8000 each and C invested an additional amount of Rs. 8000. All of them invested for equal period of time. If at the end of the year, C got Rs. 12550 as his share of profit, what was the total profit earned? [IBPS RRB (Officer) 2015]
Options:
A) Rs. 25100
B) Rs. 26600
C) Rs. 24300
D) Rs. 22960
E) Rs. 21440
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Answer:
Correct Answer: A
Solution:
- [a] Ratio of profits = Ratio of investments
$ =(20000\times 6)+(20000-8000)\times 6: $
$ (28000\times 6)+(28000-8000)\times 6: $
$ (36000\times 6)+(36000+8000)\times 6 $
$ =20\times 6+12\times 6:28\times 6+20\times 6:36\times 6+44\times 6 $
$ =120+72:168+120:216+264 $
$ =192:288:480=2:3:5 $
Let the total profit earned be Rs. x.
Given, Cs share $ =Rs.12550 $
$ \Rightarrow $ $ \frac{5}{10}\times x=12550 $
$ \Rightarrow $ $ x=12500\times 2=Rs.,25100 $
Hence, total profit earned be Rs. 25100
BETA
