A started a business with 25000 and B joined afterward with 30000. If the profit at the end of a year was divided in the ratio 5 : 2 respectively, then after how much time B would have joined A?

8 months 

                 A                                     B 

inv.→       25000                             30000

               × 12                                × X

profit→   -----------------------------------------

      given→ (5                :                    2)

\(\frac{25000 × 12 }{30000× X }\)   =  \(\frac{5}{2}\)

\(\frac{25 × 12}{30X}\) = \(\frac{5}{2}\)

x = 4

So, B joined after ( 12 - 4 ) = 8 Months