Meena and Raju started a business with investments of Tk. (2000 + x) and Tk. (3000 + 2x) respectively. After a year, Raju received a profit of Tk. 4800 out of a total profit of Tk. 8000. Find the value of Meena's investment.

Question: Meena and Raju started a business with investments of Tk. (2000 + x) and Tk. (3000 + 2x) respectively. After a year, Raju received a profit of Tk. 4800 out of a total profit of Tk. 8000. Find the value of Meena's investment.Solution:Given,Raju’s profit = Tk. 4800∴ Meena’s profit = Tk. (8000 - 4800)= Tk. 3200Given,Meena : Raju = 3200 : 4800⇒ (2000 + x) : (3000 + 2x) = 3200 : 4800⇒ (2000 + x)/(3000 + 2x) = 3200/4800⇒ (2000 + x)/(3000 + 2x) = 2/3⇒ 3(2000 + x) = 2(3000 + 2x)⇒ 6000 + 3x = 6000 + 4x⇒ 4x - 3x = 6000 - 6000∴ x = 0∴ Initial investment of Meena = 2000 + 0 = Tk. 2000