Asif, Sami and Riad started a shop by investing Tk. 2700, Tk. 9000 and Tk. 6300 respectively. At the end of one year, the profit was distributed. If Riad's share was Tk. 2100, what was their total profit?

Question: Asif, Sami and Riad started a shop by investing Tk. 2700, Tk. 9000 and Tk. 6300 respectively. At the end of one year, the profit was distributed. If Riad's share was Tk. 2100, what was their total profit?

Solution:
Let the total profit is = x

Here, Asif : Sami : Riad = 2700 : 9000 : 6300
= 3 : 10 : 7

then, Riad's share = (7/20) × x = 7x/20
ATQ,
7x/20 = 2100
⇒ x = (2100 × 20)/7
∴ x = 6000

∴ The total profit = Tk. 6000