Xavier Aptitude Test 2023 Paper

Let ' $m$ ' be the number of matches Guava played till now. They won ' 0.4 m ' matches.After playing another ' $n$ ' matches and wining all of them, their winning percentage will improve to 50 .i.e,$\; \frac{0.4 m+n}{m+n}=0.5$$m=5 n$Playing 15 more matches and wining all of them, their winning percentage will improve from 50 to 60 . i.e $\; \frac{0.4 m+n+15}{m+n+15}=0.6$Solving, we get $6+0.4 n=0.2 m$Substituting $m=5 n$,we get $6+0.4 n=n$$n=10 \& m=50$Hence, Guava club played 50 matches so far.The answer is option A.