Question

A cricket team won $30$ games from the total matches they played. This was $60\%$ of the total matches. Find the total number of matches played by them.

• A. $60$
• B. $50$
• C. $40$
• D. $45$

Answer 1

The correct option is B $50$

Noumber of matches won $=\left(\begin{array}{c}\%\text{of matches won}/100\end{array}\right)\times \left(\text{total no of matches played}\right)$
$\Rightarrow 30=\frac{60}{100}\times \left(\text{total no of matched played}\right)$
Total number of matches played $=\left(\begin{array}{c}30\times \frac{100}{60}\end{array}\right)=50$

Hence, option B is correct.