Question

A student has to secure $40\%$marks to pass. He gets $40$marks and fails by $40$ marks, the maximum marks are:

• A. $200$
• B. $250$
• C. $400$
• D. $500$

Answer 1

The correct option is A

$200$

Step 1: Given:

Let the maximum marks be $\mathrm{x}$

Marks scored by him$=$$40$

Minimum marks required to pass$=40\%$

Step 2: Calculate the passing marks:

In order to calculate passing marks find the $40\%$ of $\mathrm{x}$

$40\%$ of $\mathrm{x}$$=\frac{40}{100}\times \mathrm{x}$

$=\frac{2}{5}\mathrm{x}$

According to the question, the Student secured $40$marks less than the passing marks

$\frac{2}{5}\mathrm{x}-40=40$

$\frac{2}{5}\mathrm{x}=40+40$

$$\begin{gathered} \frac{2}{5}\mathrm{x}=80 \\ \mathrm{x}=200 \end{gathered}$$

The maximum marks are $200$.

Hence, option A is correct.