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A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how much period does B join, if the profits at the end of the year are divided in the ratio of 3 : 1?

Options:
A .  4 months
B .  5 months
C .  6 months
D .  8 months
Answer: Option D

Suppose B joined for x months. Then,


Then, \(\left(\frac{85000\times12}{42500\times x} = \frac{3}{1}\right )\)


 x = \(\left(\frac{85000\times12}{42500\times 3} = \frac{3}{1}\right ) = 8\)


So, B joined for 8 months.


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