Institution: Bangladesh Bank Exam: Officer (General) -Ansar VDP Unnayan | BD House Building Finance Corporation 28.09.2018 ||
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To solve the problem, we need to analyze the relationship between selling prices, profit, and loss. Given that selling the article for Tk. 3,362 yields the same profit as selling it for Tk. 2,236 incurs a loss, we can start with the following definitions:

Let the cost price (CP) of the article be 'C'.
When the article is sold for Tk. 3,362, the profit can be expressed as:
\[ \text{Profit} = 3,362 - C \]

When sold for Tk. 2,236, the loss can be expressed as:
\[ \text{Loss} = C - 2,236 \]

Setting the profit equal to the loss, we get:
\[ 3,362 - C = C - 2,236 \]

Solving this equation:
\[ 3,362 + 2,236 = 2C \]
\[ 5,598 = 2C \]
\[ C = 2,799 \]

Now, to find the selling price for a 20% profit:
\[ \text{Selling Price} = CP + 20\% \text{ of } CP = C + 0.2C = 1.2C \]
\[ \text{Selling Price} = 1.2 \times 2,799 = 3,358.8 \]

None of the provided options (A: 4639.4, B: 4769.6, C: 4830.8) reflects this correct selling price. Therefore, the correct answer is indeed 'D: None of these'. The calculations confirm that the options given do not match any valid selling price for a 20% profit based on the established cost price.