Question

What percent of $ Rs.2000 $ is $ Rs.8000 $ ?

Answer 1

Hint: So for solving this question we will assume that X% of 8000 is equal to 2000. And we know to solve the percentage we just need to divide it by $ 100 $ . So on solving the equation we will get the percentage value that is being required.
Formula used:
Percentage formula,
 $ \dfrac{{Numerator}}{{{\text{Denominator}}}} \times 100 $
Here, this formula is used when it is given in fractions.

Complete step-by-step answer:
So firstly we assume that $ Rs.8000 $ is $ 100\% $ because it will be the output value for the task.
Also, we assume that the $ x $ will be the value, we have to find.
According to the question, $ 100\% = 8000 $
We know, $ x\% = 2000 $
So we have two equations, and the left sides of both the equation have the same units, mathematically we can write the equation as,
 $ \Rightarrow \dfrac{{100\% }}{{x\% }} = \dfrac{{8000}}{{2000}} $
So for solving the above equation, we multiply both of the sides by $ x $ , we get
 $ \Rightarrow \left( {\dfrac{{100}}{x}} \right) \times x = \left( {\dfrac{{8000}}{{2000}}} \right) \times x $
So on solving it, we get
 $ \Rightarrow 100 = 4 \times x $
Now on dividing by $ 4 $ both the sides of the equation, we get
 $ \Rightarrow \dfrac{{100}}{4} = x $
And on solving the above equation, we get
 $ \Rightarrow x = 25 $
Therefore, we can say $ 25 $ percent of $ Rs.2000 $ is $ Rs.8000 $ .
So, the correct answer is “ $ 25 $ percent”.

Note: So to define the percentage we can say it is a number or a ratio which can be represented in terms of the fraction or by part of $ 100 $ . For example, any number is written as $ 1\% $ , so it is representing the one-hundredths.