Question

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

Answer 1

Hint: The given amount of money is 15% of annual salary, from here we can get the annual salary. Once we get the annual income we can find the monthly salary by dividing it by 12 i.e. 12 months.

Let the annual salary be Rs. X
This can be written as 15% × X
= \[\dfrac{{15}}{{100}} \times X\]
= Rs. 75, 000
∴ Annual salary is Rs. 75, 000
Now monthly salary is
= \[\dfrac{{75,000}}{{12}}\]
= Rs. 6250

Note: Whenever percentages are asked like X% of Y, depending on the variable given one can find the other variable by replacing % by \[\dfrac{1}{{100}}\]. Similarly percentage change can also be asked which can be found by the formula
     \[\% change = \dfrac{{\left( {final - initial} \right)}}{{initial}}\]