X started a business with Rs. 21,000 and is joined afterwards by Y with Rs. 36,000. After how many months did Y join if the profits at the end of the year are divided equally?
Suppose Y joined after x months.
Then, 21000 x 12 = 36000 x (12 - x)
=> 36x = 180
=> x = 5.
Hence, Y joined after 5 months.
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