Question

Indian team played 25 one day matches in a year and won 18 matches. What is the percentage of lost matches?

Answer 1

Hint: Calculate the number of lost matches by taking the difference of total number of matches played by Indian team and total won matches. Now calculate the fraction of lost matches to total matches and hence convert this fraction to percentage to get an answer.

Complete step-by-step answer:
We can calculate the total number of lost matches by taking the difference of total number of matches and the matches won by the Indian team.
So, it is given that Indian team has played 25 total matches in the year and won 18 matches, hence number of lost matches can be given as
Lost matches = 25-8 = 7 matches

Now, we can get the percentage of lost matches with respect to the total number of matches by calculating the fraction of lost matches and total matches and hence multiply it with 100.

Hence, percentage of lost matches can be given by using the relation expressed below:
$\text{ }\!\!%\!\!\text{ of lost matches =}\dfrac{\text{number of matches}}{\text{total number of matches}}\text{ }\!\!\times\!\!\text{ 100}$

So, we can put values of lost matches and number of total matches as 7 and 25 in the above equation, we get
$\text{ }\!\!%\!\!\text{ of lost matches=}\dfrac{\text{7}}{\text{25}}\text{ }\!\!\times\!\!\text{ 100}=7\times 4%=28%$

Hence, the percentage of lost matches is 28%.

Note:
Another approach for calculating the percentage of lost matches would be that we can calculate the percentage of won matches and then subtract it from 100. Hence, we get
$100-\dfrac{18}{25}\times 100=100-72=28%$
One can go wrong with the formula of percentage, he/she may divide the expression, number of lost matches by 100 which is total matches. This is wrong by the definition of percentage. Hence, be clear with the concept of percentage.