Institution: AGRANI BANK LTD Exam: Agrani bank Ltd - Officer 04.07.2008
Topic: Mathematics (সাধারণ গণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To solve the problem, we need to establish the relationship between the fares of adults and children. Let's denote the fare of an adult as \( A \) and the fare of a child as \( C \). According to the problem, the fare for 2 adults and 3 children totals Tk. 210, and it is given that a child's fare is half that of an adult; therefore, we can express it as:

\[ C = \frac{1}{2}A \]

Now, substituting this expression for \( C \) in the total fare equation, we have:

\[ 2A + 3C = 210 \]

Replacing \( C \) with \( \frac{1}{2}A \):

\[ 2A + 3(\frac{1}{2}A) = 210 \]

This simplifies to:

\[ 2A + \frac{3}{2}A = 210 \]

To combine the terms, we convert \( 2A \) into a fraction:

\[ \frac{4}{2}A + \frac{3}{2}A = 210 \]
\[ \frac{7}{2}A = 210 \]

Now, multiplying both sides by 2 to eliminate the fraction:

\[ 7A = 420 \]

Then, dividing by 7 gives:

\[ A = 60 \]

Thus, the fare for an adult is Tk. 60, confirming that option D is indeed the correct answer.