Question

Express: 9 hours as percent of 4 days?

Answer 1

Hint: Here in this question, we have to express 9 hours as percent compared to 4 days. To solve this first, find how many hours are there in 4 days and remember 1 day is having 24 hours. Write the fraction put numerator has 9 hours and denominator has total hours which 4 days have and next multiply the resultant value of fraction to the 100 we get the required solution.

Complete step by step solution:
Now consider the question
Express 9 hours as percent of 4 days.
As we know,
1 day = 24 hours
Therefore, 4 days = \[4 \times 24 = 96\] hours.
So, we have to find, what percent of 96 is 9
Assume, if \[x\% \] of 96 is equal to 9, then we have to find the percentage value \[x\]
 \[ \Rightarrow \dfrac{x}{{100}} \times 96 = 9\]
On cross multiplication, we have
 \[ \Rightarrow x \times 96 = 9 \times 100\]
First, we simplify the term.
 \[ \Rightarrow 96x = 900\]
Multiply both side by 96, then
 \[ \Rightarrow x = \dfrac{{900}}{{96}}\]
Divide both numerator and denominator by 12, we have
 \[ \Rightarrow x = \dfrac{{75}}{8}\]
Or
 \[ \Rightarrow x = 9.375\]
Hence, 9 hours is the \[\dfrac{{75}}{8}\% \] or \[9.375\% \] of 4 days.
So, the correct answer is “ \[9.375\% \] ”.

Note: Here the question is related to the percentage. By using the specific methods and rules we
can convert the number. As we know that the percentage formula \[ = \left( {\dfrac{{Value}}{{Total\,value}}} \right) \times 100\] . Using the simple arithmetic operation i.e., multiplication and division to get the required solution.
The above question can also solve by using a percentage formula
9 hours as a percent of 4 days
4 days = 96 hours
 \[ \Rightarrow \left( {\dfrac{9}{{96}}} \right) \times 100 = \dfrac{{900}}{{96}} = \dfrac{{75}}{8}\% \]