Question

The monthly salary of a typist is $Rs\,15625$. If he gets an increase of $12\% $, find his new salary.

Answer 1

Hint: In the given question, we are required to calculate the new salary of the typist when the old salary and the increased percentage is given to us in the problem. So, we can find the increase in the monthly salary by finding that specific increase percent of the number. Then, we add this increase in the salary to the old salary to get the new salary. We will have to find the increase in the salary using the formula: $Increase = \dfrac{{Increase\% }}{{100}} \times Salary$.

Complete step-by-step solution:
In this specific question, we are given that the salary of a typist is $Rs\,15625$.
Also, the increase percent is given to us as $12\% $.
So, we will find the increase in the salary by finding $12\% $ of the old salary $Rs\,15625$.
Hence, we have the formula $\text{Increase} = \dfrac{\text{Increase% }}{{100}} \times Salary$.
Substituting the values of percentage and old salary, we get the increase in salary as,
$\text{Increase} = \dfrac{{12}}{{100}} \times Rs\,15625$
So, we will find the product in numerator and simplify the calculations,
$ \Rightarrow \text{Increase} = Rs\dfrac{{187500}}{{100}}$
Cancelling the common factors in numerator and denominator, we get,
$ \Rightarrow \text{Increase} = Rs1875$
So, we get an increase in salary to $Rs1875$. Now, we can find the new salary by adding the increase in the salary to the original salary.
Hence, we get the new salary as,
$\text{New Salary} = Rs\,15625 + \,Rs\,1875$
$ \Rightarrow \text{New Salary} = Rs\,17500$
So, the new salary of the typist is $Rs\,17500$.
This is our required final answer for the given problem.

Note: There are various methods to find an answer to the given question, but the method described above is the simplest one. We can also consider solving the problem using the unitary method by taking the original number as $100\% $ of itself and then computing the change percent in comparison to the original number. Work as many problems as possible to crack these types of problems in a limited time period.