Problem: Two friend A and B invest Tk. 400000 and Tk. 600000 respectively in order to set up a business. As the managing partner. A receives a remuneration of Tk. 12000 out of total profits and B receives no salary. After A’s salary has been paid. 10% of the profits are set aside each year to purchases new equipment. The remainder of the profit is then divided between the friends in the ratio of their capital investment. The total profit for the first year was Tk. 210000. Calculate the total amount received by A and B individually at the end of the first year.
View all: NATIONAL BANK | OFFICER | RECRUITMENT QUESTION(MATH) SOLVE | 1997
Correct Answer: Tk. 83,280 and Tk. 1.06.920 respectively
Explanation:
A’s salary = Tk. 12.000
The rest of profit = 2.10.000 — 12,000
= Tk. 1.98.000
10% of 1.98.000 =$\frac{198000\cdot10}{100}$ = 19.800 Tk. (set aside)
Alter 10% set aside. the rest of profit = Tk. 1.98.000 — 19,800
= Tk. 1.78,200
Now, A : B = 4.00.000 : 6.00.000 = 2 : 3
Sum total ofratio = 2 + 3 = 5
A’s profit = 1.78.200 of $\frac{2}{5}$
= Tk. 71,2 80
8’5 profit = 1.78.200 of $\frac{2}{5}$
= Tk. 1.06.920
A receives = 71.280 + 12.000 = Tk. 83.280
B receives = Tk. 1.06.920
