Amit and Brijesh started a business with initial investments in the ratio of 12: 11 and their annual profits were in the ratio of 4: 1. If Amit invested the money for 11 months, then for what time Brijesh invested the money? |
A) 9 months
B) 3 months
C) 5 months
D) 10 months
Correct Answer: B
Solution :
Let investment of Amit \[=12\,\,x\] |
and investment of Brijesh \[=11\,\,x\] |
Let Brijesh invested the money for/months. |
Then, Amit's investment: Brijesh's investment |
\[=\,\,(12x\times 11):(11x\times y)\] |
\[=132\,\,x:11\,\,xy=12:y\] |
\[\therefore \] \[\frac{12}{y}=\frac{4}{1}\] [since, ratio of profit is 4 :1] |
\[\Rightarrow 4y=12\] |
\[\therefore \] \[y=\frac{12}{4}=3\,\,\text{month}\] |
Clearly, Brijesh invested money for 3 months. |
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