Question

In an examination if a student scores 375 out of 400, then his marks in terms of percentage is

• A. 92.75 %
• B. 93.75 %
• C. 83.75 %

Answer 1

The correct option is B 93.75 %

Let the percentage be x%

According to question,
$x\%$ of 400 = 375
$\Rightarrow$ $x$ per hundred of 400 = 375
$\Rightarrow \frac{x}{100}\times 400=375$
$\Rightarrow x=375\times \frac{100}{400}$
$\Rightarrow x=93.75$
$\therefore$ The marks of student in terms of percentage = 93.75%

Alternatively, By formula,
$\frac{part}{total}=\frac{x}{100}$
From question, part = 375,
and total = 400
$\therefore \frac{375}{400}=\frac{x}{100}$

$\Rightarrow x=\frac{375\times 100}{400}$
$\Rightarrow x=93.75$
$\therefore$ The marks of student in terms of percentage = 93.75%