Question

What percentage is $13$ weeks of one year?

Answer 1

Hint: Find the number of weeks in $1$ year. Now using the unitary method find the fraction of a year $13$weeks will represent. Once the fraction of a year is found, multiply it with $100$ to get the answer in percentage form.

Complete step by step answer:
Here, we have been asked to find the percentage of one year that will be represented by $13$ weeks. So, first we need to know that number of weeks in one year.
Now, it is a predetermined fact that one year contains $52$ weeks or $12$ months. Here we do not have any work for the number of months. So, let us focus on the number of weeks. Therefore, we have,
Number of weeks in one year =$52$
Therefore, $52$ weeks represents one year. So, applying the unitary method, we have,
Number of years $1$ week represents = $\dfrac{1}{52}$ year.
Multiplying both sides with $13$, we get,
Number of years $13$ weeks represents \[\dfrac{1}{52}\times 13\] year
Number of years $13$ weeks represents = $\dfrac{1}{4}$ year.
Actually, here we can see that the number of years is a fraction $\dfrac{1}{4}$, that means $13$ weeks will represent ($\dfrac{1}{4}$)th part of a year.
Percentage of a year that $13$ weeks will represent = $\dfrac{1}{4}\times 100%$
Percentage of a year that $13$ weeks will represent = $25\%$

Hence, we can conclude that $13$ weeks represent $25\%$ of one year.

Note: One may note that you have to remember the number of weeks, months and days in one year because in many questions of probability we need this information. These are predetermined observations that must be remembered to solve the question. One may note, in the above solution we have used the basic unitary method approach to get the answer. You may use the direct formula given as: - Required percentage =
$(\dfrac{\text{given number of weeks}}{\text{number of weeks in 1 year}})\times 100%$