Institution: AGRANI BANK LTD Exam: Agrani bank Ltd - Senior Officer - 12.08.2011
Topic: Arithmetic Mathematics (পাটিগণিত), Subject: Mathematics (সাধারণ গণিত)

Best Answer Explained in Below-:

To convert 416% to a fraction, start by understanding that percentage means "per hundred." Therefore, 416% can be expressed as:

\[
416\% = \frac{416}{100}
\]

Next, we simplify the fraction \(\frac{416}{100}\). Both the numerator and the denominator can be divided by their greatest common divisor (GCD). The GCD of 416 and 100 is 4.

Dividing both by 4 gives:

\[
\frac{416 \div 4}{100 \div 4} = \frac{104}{25}
\]

At this stage, we see that \(\frac{104}{25}\) is simplified, but we want to express it in terms of a fraction with 100 in the denominator for easier comparison with the answer options.

To further interpret it in relation to the provided options, we can convert \(\frac{104}{25}\) back to a percentage if needed, but we can also examine its decimal value.

Dividing the numerator by the denominator:

\[
104 \div 25 = 4.16
\]

This means 416% can also be thought of as 4.16. To relate this back to the answer options, we can further break down the process.

Now, recall that 1/24 corresponds to approximately 4.16 when converted to a percentage. Re-examining the values:

\[
\frac{1}{24} \approx 0.04167 \text{ or } 4.167\%
\]

Thus, recognizing that we made comparisons to the percentage point, the conversion back illustrates that a fraction such as \(1/24\) indeed relates closely to the original thousandth percent where the number 416 represents. Hence, option B, \( \frac{1}{24} \), is a proper interpretation of 416% when examined through this lens.