Question

In 2018, India won 104 matches and that contribute to 80% of the total number of matches. Then the total number of matches that India played =

• A. 130
• B. 160
• C. 170

Answer 1

The correct option is A 130

Let the total number of matches be x

According to question,
80 % of x = 104
$\Rightarrow$ 80 per hundred of x = 104
$\Rightarrow \frac{80}{100}\times x=104$
$\Rightarrow x=\frac{104\times 100}{80}=130$
$\therefore$ The total number of matches that India played was 130.

Alternatively, By formula,
$\frac{part}{total}=\frac{\%}{100}$
From question, part = 104, total = $x$ and % = 80

$\Rightarrow \frac{104}{x}=\frac{80}{100}$

$\Rightarrow x=\frac{104\times 100}{80}=130$
$\therefore$ The total number of matches that India played was 130.