Question

The Royal Cricket team played 56 matches and won 23 of them. What percent of the matches did they lose?

Answer 1

Hint: We first find the matches they lose by subtracting the matches they won from the total number. After we have found this, we calculate the loss percentage by dividing the number obtained by the total number and multiplying by 100.

Complete step-by-step solution
Let us consider the given values in the question. According to the question, the total matches played are 56, out of which the Royal Cricket team has won 23 matches. We first find the number of matches the team lost, which can be calculated by subtracting 23 from 56.

$\Rightarrow 56-23=33$

Thus, we get that the number of matches lost by the team are 33.

Now, we are left to calculate the percentage of matches they lost. Use the formula,
$\text{Loss percent}={\displaystyle \frac{\text{Loss}}{\text{Total}}}\times 100$

We substitute the known values into the formula and calculate the percentage.
$$\begin{gathered} \text{Loss percent}={\displaystyle \frac{33}{56}}\times 100 \\ =0.5892\times 100 \\ =58.92 \end{gathered}$$

Thus, the percent of the matches they lose is 58.92% or we can approximately say that it is equal to 59%.

Note: Carefully analyze what is given in the question and what needs to be calculated. As if you do not calculate or confuse yourself with the won matches instead of lost matches then you will be finding out the won percentage which is wrong. Please make sure to calculate the percentage carefully as the calculation errors can happen if done in a hurry.