Problem: Sumon and Jamal invested Tk. 5000 and Tk. 4000 respectively in a business. After 3 months, Sumon invested Tk.1000 more and Dilip invested Tk. 7000 in the same business. After one year from initial startup, profit was Tk. 36000. How will the profit be distributed among all three partners?
View all: JANATA BANK OFFICER (IT) | WRITTEN QUESTION (MATH) SOLVE | 2016
Correct Answer: They will get the profit Tk.13,800, Tk. 9,600 & Tk. 12,600 respectively.
Explanation:
Total amount of Sumon after one year = 5,000 x 3 +(5,000 + 1,000) 9
= 15,000 + 54,000
= 69,000
Total amount of Jamal after one year = 4,000 x 12 = 48,000
Total amount of Dilip after one year = 7,000 x 9 = 63,000
Amount of ratio of the investment = 69,000 : 48,000 : 63,000
= 69 : 48 : 63
= 23 : 16 : 21
Sum ofratio = 23 +16 + 21 = 60
Profit of Sumon = 36,000 x $\frac{23}{60}$ = 13,800 TK.
Profit of Jamal = 36,000 x $\frac{16}{60}$ = 9,600 TK.
Profit of Dilip = 36,000 x $\frac{21}{60}$ = 12,600 TK.
