Reena and Shaloo are partners in a business. Reena invests Tk. 35000 for 8 months and Shaloo invests Tk. 42000 for 10 months. Out of a profit of Tk. 31570, Reena's share is:

Question: Reena and Shaloo are partners in a business. Reena invests Tk. 35000 for 8 months and Shaloo invests Tk. 42000 for 10 months. Out of a profit of Tk. 31570, Reena's share is:

Solution:
We know,
Profit is shared in the ratio of = Investment × Time.
∴ Reena's share = 35,000 × 8 = 2,80,000
And Shaloo share = 42,000 × 10 = 4,20,000

∴ Ratio = 2,80,000 : 4,20,000 = 28 : 42 = 4 : 6 = 2 : 3

∴ Total parts = 2 + 3 = 5
∴ Reena’s share = (2/5) × 31570 = Tk. 12,628

So, Reena's share is Tk. 12,628.