Answer

Verified

348.6k+ views

**Hint:**For calculating the number, let’s assume that the number is $x$. Then, we will use the question as a condition to create an equation. After that we will do necessary calculation and will simplify the equation to get the required number.

**Complete step by step answer:**

Since, we already have the given percentage and percentage value in number as $32\%$ and $8$ respectively.

So, let’s suppose that the number is $x$.

Here, the condition given in the question is $32\%$ of a number$x$ is $8$. We can write the conditions in mathematical expression as:

$\Rightarrow x\times 32\%=8$

We can write percentage in terms of fraction one by hundred as:

$1\%=\dfrac{1}{100}$

So, the equation of condition will be as:

$\Rightarrow x\times \dfrac{32}{100}=8$

Now, we will do multiplication with $100$ both sides of above step as:

$\Rightarrow x\times \dfrac{32}{100}\times 100=8\times 100$

Here, equal like terms will be canceled out and multiplication of $8$ and $100$ will be $800$ as:

$\Rightarrow x\times 32=800$

Now, we will divide by \[32\] each side of the above step as:

\[\Rightarrow \dfrac{x\times 32}{32}=\dfrac{800}{32}\]

After division, equal like terms will be canceled out and we will have $25$ by division of $800$ and $32$ as:

\[\Rightarrow x=25\]

Hence, the required number is $25$.

**Note:**We can check that the solution is correct or not by using the equation of condition mentioned in the solution as:

$\Rightarrow x\times 32\%=8$

Here, we will substitute $25$ for $x$ as:

$\Rightarrow 25\times 32\%=8$

Now, we will solve the left hand side of the above equation as:

$\Rightarrow 25\times 32\%$

Here, we can convert the percentage into fraction to make calculation easy as:

$\Rightarrow 25\times \dfrac{32}{100}$

Now, we will do the multiplication of numerator as:

$\begin{align}

& \Rightarrow \dfrac{25\times 32}{100} \\

& \Rightarrow \dfrac{800}{100} \\

\end{align}$

After dividing, we will have:

$\Rightarrow 8$

And this is equal to the right hand side. Therefore, the solution is correct.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Guru Purnima speech in English in 100 words class 7 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Change the following sentences into negative and interrogative class 10 english CBSE

Difference Between Plant Cell and Animal Cell

Three liquids are given to you One is hydrochloric class 11 chemistry CBSE

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE