Institution: SONALI BANK LTD Exam: Sonali Bank Ltd - Assistant Programmer - 26.08.2016 ||
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To determine the total profit from A's share of Tk. 42,360, we first need to understand the profit-sharing ratio among partners A, B, and C, which is 5:7:8.

Let's denote the parts of profit as follows:
- A's share = 5 parts
- B's share = 7 parts
- C's share = 8 parts

Adding these parts together gives us a total of 20 parts (5 + 7 + 8 = 20). This means that the total profit can be calculated as follows:

1. **Find the value of one part:** Since A's share is 5 parts and corresponds to Tk. 42,360, we can find the value of one part:
\[
\text{Value of one part} = \frac{42360}{5} = 8472
\]

2. **Calculating total profit:** Now that we have the value of one part, we can calculate the total profit represented by all 20 parts:
\[
\text{Total Profit} = 20 \times 8472 = 169440
\]

Thus, the total profit for the partnership is Tk. 169,440. This matches option A and is confirmed by the breakdown of A's share and the total ratio of profits.