Question

Given,70 is \[40\% \] of what number?

Answer 1

Hint: In order to solve this question first, we assume some number whose \[40\% \] is 70 and use the percent directly by the unitary method. Then we put the following values and by rearranging the calculation we are able to find the value of that variable. if we know the total number then we assume that number which we have to find percent and put in the same formula and rearrange them and find the value of that variable.

Complete answer:
Let the number be \[x\].
According to the question \[40\% \] of the number \[x\] is 70.
So \[1\% \] of the number \[x\] is \[\dfrac{{70}}{{40}}\].
We have to find total number
So the total number is \[100\% \] of the number \[x\].
\[100\% \] of the number \[x\] is \[\dfrac{{70}}{{40}} \times 100\]
So making the equation from the obtained expression
\[x = \dfrac{{70}}{{40}} \times 100\]
On simplifying
\[x = 35 \times 5\]
On multiplying both the numbers we get 175
\[x = 175\]
So, 175 is the number whose \[40\% \] is 70.
Final answer:
70 is \[40\% \] of 175.

Note:
To solve these types of questions students are assumed to know the number but they are confused about placing the values in the formula of the percent and they are unable to find the correct answer. We can solve this question by the unitary method and can easily get the required percentage of that number. If we have to ask for a higher percent (greater than 100) then also we apply the same method. First, find one percent and then multiply one percent to the obtained percent to obtain the answer which is asked in the question.