Institution: AGRANI BANK LTD Exam: Agrani bank Ltd - Officer - 12.02.2010
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To solve the problem, we need to set up an equation based on the information given about the costs of two types of compressed natural gas (CNG).

Let \( x \) represent the number of liters of unleaded CNG. The cost of \( x \) liters of unleaded CNG can be expressed as:
\[
\text{Cost of unleaded CNG} = 1.24 \times x
\]

Next, consider \( x + 2 \) liters of regular CNG. The cost of this amount is:
\[
\text{Cost of regular CNG} = 1.16 \times (x + 2)
\]

According to the problem, these two costs are equal:
\[
1.24x = 1.16(x + 2)
\]

Now, distribute on the right side:
\[
1.24x = 1.16x + 2.32
\]

Next, we isolate \( x \) by subtracting \( 1.16x \) from both sides:
\[
1.24x - 1.16x = 2.32
\]
\[
0.08x = 2.32
\]

To find \( x \), divide both sides by 0.08:
\[
x = \frac{2.32}{0.08} = 29
\]

Thus, the value of \( x \) is 29 liters, which matches option A. This shows that the cost of 29 liters of unleaded CNG equals the cost of 31 liters of regular CNG.