Question

A worker receives Rs.11, 250 as a bonus, which is 15% of his annual salary. What is his monthly salary?

Answer 1

Hint:
According to the question, firstly assume the annual salary of the worker. Then, calculate the annual salary with the help of the bonus and also calculate the monthly salary from the annual salary of the worker.

Complete step by step solution:
Given important points:
Bonus = Rs.11,250
15% of annual salary = Bonus
 Let us assume his annual salary be p Rs.
As we are given a bonus of the worker which is 15% of his annual salary.
So, Bonus = 15% of annual salary.
By substituting the values of bonus, annual salary.
We get, 11,250 = 15% of p
On further simplifying:
\[11,250{\rm{ }} = {\rm{ }}\dfrac{{15}}{{100}}{\rm{ }} \times {\rm{ }}p\]
Taking 100 from right hand side to left hand side we get,
\[11,250{\rm{ }} \times {\rm{100}} = {\rm{ 15 }} \times {\rm{ }}p\]
Now, multiplying all the numbers which are on the right hand side as well as on the left hand side.
So, \[11,250{\rm{00}} = {\rm{ 15 p}}\]
Here, we will take 15 from right hand side to left hand side.
So, we get \[\dfrac{{11,250{\rm{00}}}}{{15}} = {\rm{p}}\]
On dividing with 15 we get,
Therefore, p = 75,000Rs.
Hence, the annual salary of the worker is 75,000Rs.
As we have to calculate the monthly salary of the worker which is annual salary divided by total number of months in a year. i.e. monthly salary = \(\dfrac{{annual{\rm{ }}salary}}{{12}}\)
By putting the value of annual salary we get a monthly salary.
Hence, monthly salary = \(\dfrac{{75000}}{{12}}\)
On dividing with 12 we get,

Monthly salary = 6250Rs.

Note:
To solve these types of questions, read the statement step by step and write them in the form of equations and solve them by practical understanding of the concept. The question can be of the form simple interest or compound interest which you can easily calculate with the help of formulas.