Question

A man spends 87 % of his salary. If he saves Rs. 325; find the salary.

Answer 1

Hint: In the above question, a man spends 87% of his salary. It means his savings would be (100 – 87) = 13%. And also he saves Rs. 325. Now, we will form an expression easily where 13% of his total salary is equal to Rs. 325. By solving the equation we get his total salary.

Complete step-by-step answer:
Given;
Let the total salary of a man be 100%
He spends his salary = 87%
He saves his salary = 100% - 87% = 13%
He saves his salary in rupees = Rs. 325
Here, we have 13% × salary = 325
$ \Rightarrow \dfrac{{13}}{{100}} \times {\text{salary}} = 325$
$\therefore {\text{salary}} = 325 \times \dfrac{{100}}{{13}} = {\text{Rs}}.2500$

Note: A percentage is a number or ratio that can be expressed as a fraction of 100. It is denoted by a symbol “ % ”. Percentage can also be represented in decimal or fraction such as 2.25%, 1.78% etc. We use percentage in our day-to-day life. If we need to calculate our marks in terms of percentage then we use the concept of percentage. To calculate the percentage, we divide the value by total value and then multiply the resultant to 100. If we need to calculate the percentage of a number, we need to use a formula: $\dfrac{x}{{100}} \times {\text{number}} = y$.
Percentage Increase – To find the percent increase, first subtract the initial value from the final value. Then take the difference and divide it by the initial value. Finally, multiply this number by 100 to convert the number to a percentage. This final result will represent the percent increase between the two values.