Xavier Aptitude Test 2023 Paper

Question : 57 of 102

Marks: +1, -0

The Guava club has won

40 \%

of their football matches in the Apple Cup that they have played so far. If they play another n matches and win all of them, their winning percentage will improve to 50 . Further, if they play 15 more matches and win all of them, their winning percentage will improve from 50 to 60 . How many matches has the Guava club played in the Apple Cup so far? In the Apple Cup matches, there are only two possible outcomes, win or loss; draw is not possible.

50
40
30
Cannot be determined, as the value of n is not given
60

Validate

Solution:

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,

\;{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

\;{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.

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