Question

A person’s salary is increased by \[15\% \]. If his new salary is \[103500\]. Find the original salary.

Answer 1

Hint: Assume the salary of the person and then add \[15\% \] of salary to the salary and equate to the new salary which will give the assumed salary i.e. the original salary of the person.

Complete step-by-step answer:
A person’s salary is increased by \[15\% \]. If his new salary is \[103500\].
When we are solving this type of questions, we need to follow the steps
provided in the hint part above.
 Let the original salary is then it is given that it's increased by \[15\% \] then find \[15\% \] of that will be equal to:
\[\dfrac{{15}}{{100}} \times x\]
So \[\dfrac{{15}}{{100}} \times x\] is the increase salary but we want to get the original salary as we are given salary after increment is \[103500\] then sum of original salary and increases salary should be equal to the New salary that is given as \[103500\]
So
\[
\Rightarrow x + \dfrac{{15x}}{{100}} = 103500\\
\Rightarrow x\left[ {1 + \dfrac{{15}}{{100}}} \right] = 103500\\
\Rightarrow x\dfrac{{115}}{{100}} = 103500\\
\Rightarrow x = \dfrac{{103500 \times 100}}{{115}}\\
\Rightarrow x = 90000
\]
Hence, original salary of the person was \[90000\]

Note: Avoid calculation mistakes in this question to avoid the confusion and Also take care of the increment obtained is \[15\% \] of the earlier salary not the new salary.