Ashifur September 9, 2023 - 17:37
Problem: A and B started a business with capital of tk 3,000 and tk 4,000 respectively. After 8 months, A invested Tk. 2,500 more in the business and 7 months after this, total profit becomes Tk. 980. Find the share of profit for each.

View all: BANGLADESH KRISHI BANK LTD (OFFICER-CASH) WRITTEN QUESTION (MATH) SOLVE | 2018

Correct Answer: The share of profit of A = 500 Tk. & B = 480 Tk.

Explanation:

Total business time = (8 + 7) months = 15 months.

A’s time weighted investment = =[(3,000 x 8) + (3,000 + 2,500) x 7 ] TK.

B’s time weighted investment = 4,000 X 15 = = 60,000 TK.

So, investment ratio = 62,500 : 60,000 = 25 : 24 [Dividing by 2,500]

New, sum of their investment = 25 + 24 = 49

So A’s profit = (980 $\times \frac{24}{49}$) Tk. = 500 Tk &

B’s profit = (980 $\times \frac{25}{49}$) = 480 Tk

The share of profit of A = 500 Tk. & B = 480 Tk.

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