Question

Find $1\% $ of $1$ hour.

Answer 1

Hint: We will first find out what constitutes an hour, and then we will find the $1\% $ for it in the form of seconds. Then it will be converted into minutes, finally we conclude the required answer.

Formula used: $percentage = \dfrac{{Part}}{{whole}} \times 100$

Complete step-by-step solution:
We have to find out $1\% $ of $1$ hour, this means that we are computing how much time is $1\% $ of an hours’ time.
Generally, we know that an hour constitutes a total $60$ minutes, and each minute constitutes of $60$ seconds.
So we can write the total numbers of seconds in an hour are $60 \times 60$ which is $3600$ seconds.
Now using the formula of percentage to find $1\% $ of $1$ hour is:
$ \Rightarrow \dfrac{1}{{100}} \times 3600$
It can be simplified as:
$ \Rightarrow 1 \times 36$
It is $36$ seconds.
Therefore, the total number of seconds in $1\% $ of $1$ hour is $36$ seconds.
Now, we have to convert into minutes,
Thus, $1$ minute has total $60$ seconds; therefore $36$ seconds will be $x$ minutes,
Now write it as mathematically, we get
$ \Rightarrow \dfrac{x}{1} = \dfrac{{36}}{{60}}$
On cross multiplying we get:
$ \Rightarrow x \times 60 = 1 \times 36$
Both sides we can multiply the term we get:
$ \Rightarrow 60x = 36$
On dividing \[60\] on both sides we get
$ \Rightarrow x = \dfrac{{36}}{{60}}$
On dividing the terms we get:
$ \Rightarrow x = 0.6$

Therefore $1\% $ of $1$ hour is $0.6$ minutes.

Note: Percentage represents a number as a fraction in which the denominator is $100$. Percent stands for per century which means per $100$.
The general cross formula is used when we know the relation of two things and we have to find the corresponding value of another thing.
During cross multiplication is to be remembered that the numerator of the left-hand side has to be multiplied with the denominator of the right-hand side, and the denominator of the right-hand side has to be multiplied with the numerator of the left-hand side.
In the above situation there are a total of two variables which are second and minutes, if there are three variables in a question then a matrix has to be used to find the answer.