Question

$ 20\% $ of $ 700m $ is
 $ \left( a \right){\text{ 560m}} $
 $ \left( b \right){\text{ 70m}} $
 $ \left( c \right){\text{ 210m}} $
 $ \left( d \right){\text{ 140m}} $

Answer 1

Hint:
Percentage means per and cent & “percent” means “per hundred”. In mathematics, percentage means a fraction whose rate is $ 100 $ and $ 100\% $ means the whole. So to calculate the percentage we just need to find what percentage that number is. So in this way, we can find the percentage.

Formula used:
Percentage,
 $ \dfrac{{Number{\text{ of subject for which percentage is to be found }}\left( {Part} \right)}}{{Total{\text{ number }}\left( {Base} \right)}} \times 100\% $

Complete step by step solution:
So in this question, we have a unit which is in distance given as $ 700m $ . And we have to find out $ 20\% $ about it.
So there is more than one way to find out the percentage and here we will see the simplest method to find it out.
We have the question given as $ 20\% $ of $ 700m $ is
So on calculating the percentage, we get
 $ \Rightarrow \dfrac{{20}}{{100}} \times 700 $
And now on solving the above equation, we get
 $ \Rightarrow 140m $
So we can say that the $ 20\% $ of $ 700m $ is $ 140m $ .

Therefore, the option $ \left( d \right) $ is correct.

Additional information:
To convert a ratio or a fraction to a percentage, consider the fraction and convert it to a decimal number (with a calculator or by self). This decimal number represents the quantity for one unit. Then multiply the decimal number $ 100 $ to get the percentage.
In some cases, the fraction can easily be reduced to a denominator equal to $ 100 $ (by multiplying or dividing numerator and denominator by the same number). The percentage is the numerator of the fraction with the denominator equal to $ 100 $ .

Note:
To change over any type of number into rate we have to change over it into a portion and afterward increase by $ 100 $ . Additionally, to change a rate over to any type of a number we have to initially partition the rate by $ 100 $ and afterward convert the resultant division to the type of number we need.