Answer

Verified

348.6k+ views

**Hint:**In this type of question we have to use the concept of percentage. We know that a percentage is a number or ratio that can be expressed as a fraction of 100. Hence the percentage means a part per 100. Thus \[x\%\] can be expressed as \[\dfrac{x}{100}\]. Also if we have to calculate percent of a number then equate it to some variable. Then express \[\%\] as a fraction of 100 and simplify to obtain the final result.

**Complete step by step answer:**

Now, we have to find 12.5 percent of 800.

For this let us consider,

\[\Rightarrow 12.5\%\text{ of 800}\]

As we know that, a percentage is a number or ratio that can be expressed as a fraction of 100 we can write,

\[\Rightarrow 12.5\%\text{ of 800}=\dfrac{12.5}{100}\text{ of }800\]

Here, the word ‘of’ will represent multiplication so that we get,

\[\Rightarrow 12.5\%\text{ of 800}=\dfrac{12.5}{100}\times 800\]

On simplifying we can write,

\[\begin{align}

& \Rightarrow 12.5\%\text{ of 800}=12.5\times 8 \\

& \Rightarrow 12.5\%\text{ of 800}=100 \\

\end{align}\]

Hence, 12.5 percent of 800 is 100.

**Note:**In this type of question students have to note all the simple points which come under percentage. Students have to remember that to solve such types of questions the key is to use the percentage formula on a given number. Percentage formula states that, if you have to turn a percentage into a fraction, just divide by 100. For example, \[20\%=\dfrac{20}{100}\]. One of the students may solve the given question as follows:

Let us suppose that, the 12.5 percent of 800 is equal to \[x\]

\[\Rightarrow 12.5\%\text{ of 800}=x\]

As we know that, to turn a percentage into a fraction, just divide by 100

\[\Rightarrow \dfrac{12.5}{100}\text{ of }800=x\]

Here, the word ‘of’ will represent multiplication so that we get,

\[\begin{align}

& \Rightarrow \dfrac{12.5}{100}\times 800=x \\

& \Rightarrow 12.5\times 8=x \\

& \Rightarrow 100=x \\

\end{align}\]

Hence, 12.5 percent of 800 is 100.

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