Question

What percentage of a day is one hour and 45 minutes?
A . 7.218%
B. 8.3%
C . 7.291%
D . None of these

Answer 1

Hint:This is a question from percentages. We need to know the basic formula to calculate the required percentage. A day has 24 hours and we have to calculate what percentage does 1 hour and 45 minutes contribute in a day.

Complete step-by-step answer:
To make our calculations easier and to avoid fractions, let us convert the given values in their simplest form, that is, in minutes.
Using the conversion: 1 Hour= 60 minutes
1 Day= 24 Hrs= $24 \times 60\,\min $ = 1440 min …(I)
Therefore a day consists of 1440 minutes in total.
1 hr 45 min= 60+45 min= 105 min …(II)

To calculate the percentage we use the formula
Required percentage= $\dfrac{{Given\,value}}{{Total\,value}} \times 100$
Given value= 105 min (1 hour 45 minutes)
Total value= 1440 min (24 hours in a day)
Putting the values from (I) and (II) in the given expression:
Required %= $\dfrac{{105}}{{1440}} \times 100$ = 7.291%
Therefore, 1 hour and 45 minutes is 7.291% of the total number of hours in a day.
Hence the correct option is C.

Note- Percentages are an important part of mathematics. They give an idea about how much of a share a certain value takes from its total value. Ideally percentages can range from anywhere between 0 to 100, but sometimes the percentages can go beyond 100 also. This happens when the given value is greater than the total value.