Question

In an examination, Mohit secured 60% of the maximum marks, which is more than the pass marks by 45 marks. Find the maximum marks in the examination if the pass mark is 45%.

Answer 1

Hint: Here we go through by letting the maximum marks as some variable then apply the given percentage to that variable and solve according to the question to find out the value of that variable.

Complete step-by-step solution:
Here in the question it is given that,
Marks secured by Mohit = 60%,
Pass mark = 45%
And we calculate difference between the marks secured and pass mark = (60−45) %=15%
Also given that Mohit got 45 marks more than the pass marks.
Now let the maximum marks be x.
According to question,
Difference between the marks secured and the pass mark is 45. So we can say that the 15% of maximum marks is 45 because the difference between marks secured percentage and passing percentage is 15%.
I.e. 15% of x=45
$
   \Rightarrow \dfrac{{15}}{{100}} \times x = 45 \\
   \Rightarrow x = \dfrac{{45 \times 100}}{{15}} = 300 \\
 $

Therefore the maximum marks in the examination = 300.

Note: Whenever we face such a type of question the key concept for solving the question is first assume that we have to find some variable whenever the question is related to percentage and then apply the given percentage on that variable according to the question to find out the value of that variable.