Two friends invested Tk.1500 and Tk. 2500 in a business. They earned a profit of Tk. 800. One-half of the profit was divided equally between them and the other half was divided in proportion to their capitals. How much did each of them receive?

Question: Two friends invested Tk.1500 and Tk. 2500 in a business. They earned a profit of Tk. 800. One-half of the profit was divided equally between them and the other half was divided in proportion to their capitals. How much did each of them receive?

Solution:
Ratio of shares = 1500 : 2500
= 3 : 5

∴ Share of first friend = Tk. [(400/2) + {400 × (3/8)}]
= Tk. (200 + 150)
= Tk. 350

∴ Share of second friend = Tk. [(400/2) + {400 × (5/8)}]
= Tk. (200 + 250)
= Tk. 450