Question

A man spends $87% $ of his salary. If he saves Rs $325$; Find his salary.

Answer 1

Hint: We are given that a man spends a certain percentage of his salary and the amount of his savings is also given we have to find his salary. In such cases first we should know that percentage as a whole is considered as $100$. So by taking a percentage as $100$ to find savings.
Savings=Total- expenditure
And we will assume total salary as a variable and by forming the equation for savings and by equating to the savings given we will find the value of that variable.

Complete step-by-step answer:
Step1: We are given a percentage of salary spend is $87% $ and savings is Rs$325$. Now as we know that percentage is considered as a whole as $100% $. We will subtract $87% $ i.e. expenditure from $100% $ to find savings.
Step2: Let us consider salary as $x$. We are given savings of $325$. By equating the percentage of total salary to the savings amount given.
Equation formed will be:
$\dfrac{{13}}{{100}} \times x = 325$
On solving it further
$ \Rightarrow \dfrac{{13x}}{{100}} = 325$
Finding the value of $x$
$ \Rightarrow x = \dfrac{{325 \times 100}}{{13}}$
On solving we get:
$x = Rs2500$
Total salary is Rs$2500$

The total salary of the person is Rs.2500.

Note: In such type of questions students even did not get the approach to it because they don't know that they have to find the percentage of savings by subtracting expenditure from 100 by equating it to the given savings by forming the equation so in such type of questions remember this we are given savings or expenditure we have to find the other by subtracting from hundred and then by forming the equations and be careful from the small calculation mistakes and from the equations according to the value and according to the value given if savings is given equate it accordingly.