Question

What number is \[85\% \] of \[60\] ?

Answer 1

Hint: Here in this question, we have to find the number \[85\% \] of \[60\] . For finding this we have two methods firstly, percentage simplification, for this we have to write the given percentage term into fraction form and multiply this fraction with 60 using the arithmetic operation and another method to calculate by direct proportion. On simplification we get the required solution.

Complete step by step solution:
Consider the data in given question
 \[85\% \] of \[60\]
Method 1:
we need to calculate the number \[85\% \] of \[60\] for this.
Firstly, we have to write the percentage term i.e., \[85\% \] into the fraction.
Remember that "per" means "divided by", and "cent" means 100, so "percent" means "divided by 100" or "out of 100."
Therefore \[85\% \] can be written as:
 \[ \Rightarrow \,\dfrac{{85}}{{100}}\]
When dealing with percent’s the word "of" means "times" or "to multiply".
Let’s consider the Resultant value i.e., number of \[85\% \] in 60 as \[x\]
Putting this all together we can write this equation and solve for \[x\] while keeping the equation balanced:
 \[ \Rightarrow x = \dfrac{{85}}{{100}} \times 60\]
 \[ \Rightarrow x = \dfrac{{85}}{{10}} \times 6\]
 \[ \Rightarrow x = 8.5 \times 6\]
On simplification, we get
 \[ \Rightarrow x = 51\]
Therefore, the number \[85\% \] of \[60\] is \[51\] .

Method 2:
This can also be calculated by a direct proportion.
 \[85\% \] of \[60\] = \[x\] number
If 60 represents \[100\% \] , what value represents \[85\% \]
 \[ \Rightarrow \dfrac{{85}}{{100}} = \dfrac{x}{{60}}\]
On cross multiplication, we have
 \[ \Rightarrow 85 \times 60 = x \times 100\]
 \[ \Rightarrow 5100 = x100\]
Divide both side by 100, then
 \[ \Rightarrow x = \dfrac{{5100}}{{100}}\]
 \[ \Rightarrow x = 51\]
Hence, by both methods we get the same answer i.e., \[85\% \] of \[60\] is \[51\] .
So, the correct answer is “51”.

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 term is written as \[x\% = \dfrac{x}{{100}}\] , here, marked \[x\] as the total value. Using the simple arithmetic operation i.e., multiplication and division to get the required solution.