Two friends Roman and Shimul invest in a grocery shop. Shimul invests Tk. 25000/- while Roman invests Tk. 35000. Third friend Salim, joins them with the condition that all of them must get equal share of profit. To do so, he gives Tk. 400000 to Roman and Shimul to share between themselves. Find the ratio in which Roman and Shimul should share the money given by Salim?

The total value of investment of Roman and Shimul after 12 months is =
Tk. 35000 x 12 months : Tk. 25000 x 12 months = 420000 : 300000

Profits need to be the same so investment share must be the same too.

Now 400000 given by Salim needs to be shared by Roman and Shimul so that their investment value becomes the same.
∴ If Tk. X must be given to Roman,
Then,
420000 + X = 300000 + (400000-X)
∴ X = Tk. 140000 = Roman should get this much
Required ratio = Share of Roman: Share of Shimul
= 140000 : (400000 - 140000)
= 7 : 13.