Institution: Bangladesh Bank Exam: অফিসার (ক্যাশ ) - Sonali | Rupali | BD Krishi | Rajshahi Krishi Unnayn | Investment Corporation Of Bangladesh - ২৯. ০৩.২০১৯ ||
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To determine the total profit from the given investment scenario, we start with the information provided: A and B invest in a business in the ratio of 3:2. This means that for every 5 parts of the total investment, A contributes 3 parts and B contributes 2 parts.

Let’s denote the total profit as \( P \). According to the problem, 5% of this total profit is given to charity. Therefore, the share of profit after charity is \( 95\% \), or \( 0.95P \).

A's share of the total profit can be calculated based on the investment ratio. The total parts of the ratio is \( 3 + 2 = 5 \). A's share contributes \( \frac{3}{5} \) of the profit after accounting for the charity:

\[
A's\ share = \frac{3}{5} \times 0.95P
\]

We are told that A's share is Tk. 855. Setting this equal gives us:

\[
\frac{3}{5} \times 0.95P = 855
\]

To isolate \( P \), we first multiply both sides by \( \frac{5}{3} \):

\[
0.95P = \frac{855 \times 5}{3}
\]

Calculating this,

\[
0.95P = 1425
\]

Next, we divide both sides by \( 0.95 \):

\[
P = \frac{1425}{0.95} = 1500
\]

Thus, the total profit \( P \) is Tk. 1500. Therefore, the correct answer is option C: Tk. 1500.00.