Question

Meenal saves $Rs8000$. If this is $20\mathrm{\%}$ of her entire salary, what is her salary?

Answer 1

Hint: In the given question, we are given that a person named Meenal saves $20\mathrm{\%}$ of her entire salary which is equal to $Rs8000$ and we are required to find the total salary. So, we have to calculate the amount whose $20\mathrm{\%}$ corresponds to $Rs.8000$. We must remember the formula for finding a specific percentage of a number as: $Percentage={\displaystyle \frac{Part}{Whole}}\times 100\mathrm{\%}$. Percentage of a number corresponds to the share or share in the whole thing.

Complete step by step solution:
We are given that Meenal saves $20\mathrm{\%}$ of her entire salary. This $20\mathrm{\%}$ is equivalent to $Rs8000$.
So, we are required to find the total salary.
So, we find the amount whose $20\mathrm{\%}$ corresponds to the number $Rs.8000$ by using the formula for percentage as $Percentage={\displaystyle \frac{Part}{Whole}}\times 100\mathrm{\%}$.
Let us assume $20\mathrm{\%}$ of the amount of rupees $x$ to be equal to $Rs.8000$.
So, the whole corresponds to the number x and the part corresponds to the $Rs8000$ in this case. Also, the percentage is given to us as $20\mathrm{\%}$. So, we substitute these known values in the above mentioned formula. So, we get,
$\Rightarrow 20\mathrm{\%}={\displaystyle \frac{Rs8000}{x}}\times 100\mathrm{\%}$
Now, we have to find the value of x in the above equation. We use the method of transposition to shift the terms in the equation and find the value of the variable. Shifting the variable to the left side of the equation and constants to the right side of the equation, we get,
$\Rightarrow x={\displaystyle \frac{Rs.8000}{20\mathrm{\%}}}\times 100\mathrm{\%}$
Simplifying the calculations, we get,
$\Rightarrow x=Rs.{\displaystyle \frac{800000}{20}}$
Simplifying the calculations by cancelling common factors in numerator and denominator, we get,
$\Rightarrow x=Rs.40000$
Hence, the total salary of Meenal is $Rs.40000$.

Note:
The percentage formula $Percentage={\displaystyle \frac{Part}{Whole}}\times 100\mathrm{\%}$ can be used to find any parameter in the equation given the other parameters. In the question, we must mind the language and substitute the values of the known parameters at the right place to get to the required answer. The final answer must be given in the whole number by cancelling the common factors in numerator and denominator.