Question

The \[49\] is \[200\%\] of what number?

Answer 1

Hint:In this question, we need to find the number when \[49\] is \[200\%\] . Let us consider the number as \[x\]. First, we need to form the expression as per the question. Then we need to express the given percentage in the form of a fraction. Percentage is nothing but it is a number or a ratio expressed in the fraction of \[100\] . Then on further simplifying, we can get the unknown number.

Complete step by step answer:
Given, \[49\] is \[200\%\] of what number.Let us consider the number as \[x\].Now we can form the expression as per the question.
\[200\% \times x = 49\]
Then we need to express the given percentage in the form of a fraction.
\[\Rightarrow \dfrac{200}{100} \times x = 49\]
On multiplying both sides by \[100\].We get,
\[\Rightarrow \ 200 \times x = \dfrac{49}{100}\]

Now on dividing both sides by \[200\] ,
We get,
\[\Rightarrow \ x = \dfrac{49}{100} \times 200\]
Now on simplifying we get,
\[\therefore \ x = 24.5\]
Thus we get the number as \[24.5\]

Hence, \[49\] is \[200\%\] of \[24.5\].

Note:We can also use a calculator to simplify the final step. If we are using the calculator to find out the answer , we can simply enter \[49 \times 100 \div 200\] , which will give us the correct answer. A simple example of percentage is \[25\%\] is equal to \[\dfrac{25}{100}\] fraction and also \[25\%\] represents \[25\] out of \[100\] . Percentage can also be expressed in decimals or fractions.