Question

To pass an examination 48% of marks are needed. Rahul gets 168 marks and fails by
36 marks. What are the maximum marks?​

Answer 1

$\bf {\huge {\underline {\boxed {\sf\orange {Answer:\:425\:marks}}}}}$

$\textbf {\underline {\underline {Step-By-Step\:Explanation:-}}}$

$\textbf{\underline {Given:}}$

• To pass an examination, 48% of marks are needed.
• Rahul gets 168 marks.
• He fails by 36 marks

$\huge\underline\green {\tt Solution:}$

Let the maximum marks be ' M '

➡ He needs 48% of M to pass the examination.

So,

$\dfrac {48}{100} × M =$ Passing marks --(i)

Also,

It is stated that he hot 168 marks, Only if it was 36 more, he might have passed the exam.

So, It can be written as -

168 + 36 = passing marks. ------- ( ii )

Now,

Equation ( i ) and ( ii ) will be equal,

$= > \frac{48}{100} \times m \: = 204 \\ \\ = > 48m = 20400 \\ \\ = > m = \cancel {\frac{20400}{48}} \: = 425$

Therefore,

Answer :

The maximum marks is 425.

Answer 2

The maximun marks is 425.

Step-by-step explanation:

Let us assume,the maximum marks is x,

and the passing marks is 48 %.

then,

rahul gets 168 marks and fail by 36 marks means,

$x\times\frac{48}{100} = 168 + 36$

$x\times\frac{48}{100}  = 204$

$x\times{48} = 204\times{100}$

$x = \frac{20400}{48}$

$x = 425$

The maximun marks is 425.