Question

In an examination, it is required to get 36% of maximum marks to pass. A student got 113 marks and
was declared failed by 85 marks. Then, find the maximum marks.
​

Answer 1

The maximum marks in the examination = 550

Given :

• In an examination, it is required to get 36% of maximum marks to pass.

• A student got 113 marks and was declared failed by 85 marks

To find :

The maximum marks in the examination

Solution :

Step 1 of 3 :

Calculate pass marks in the examination

Here it is given that a student got 113 marks and was declared failed by 85 marks

∴ The pass marks in the examination

= 113 + 85

= 198

Step 2 of 3 :

Form the equation to calculate the maximum marks in the examination

Let maximum marks in the examination = m

It is given that in the examination, it is required to get 36% of maximum marks to pass

By the given condition

$\displaystyle \sf m \times \frac{36}{100} = 198$

Step 3 of 3 :

Calculate maximum marks in the examination

$\displaystyle \sf m \times \frac{36}{100} = 198$

$\displaystyle \sf{ \implies }m = 198 \times \frac{100}{36}$

$\displaystyle \sf{ \implies }m = 5.5 \times 100$

$\displaystyle \sf{ \implies }m = 550$

Hence maximum marks in the examination = 550

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