A and B start a business jointly. A invests Tk 32000 for 8 months and B remains in the business for 4 months. Out of the total profit, B claims 2/7 of the profit. How much money was contributed by B?

Question: A and B start a business jointly. A invests Tk 32000 for 8 months and B remains in the business for 4 months. Out of the total profit, B claims 2/7 of the profit. How much money was contributed by B?

Solution:
Here,
Total profit = 7
B's profit = 2
So, A's profit = (7 - 2) = 5

So, ratio of A's and B's profit = 5 : 2

Let B's capital be = x

Then,
(32000 × 8)/(x × 4) = 5/2
⇒ 20x = 32000 × 8 × 2
⇒ x = (32000 × 8 × 2)/20
⇒ x = 25600