A cricket team won 60% of the matches they played If they had lost 24 matches find the total number of matches played by them What fraction of the matches have they lost

Step by Step Solution : 

Let, match played by them = x
∴ Won match,
=  x × 60/100
=  3x/5

∴ Lost match, 
=  x – 3x/5
=  5x – 3x/5
=  2x/5
Therefore,
= 2x/5 =  24
= 2x = 5 × 24
= x = 5 × 24/2
= x = 60
So, the total number of matches played by them will be 60.

Video Explanation : 
https://youtu.be/RfXaTPedvxk