Question:
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.
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.
Updated On: Aug 9, 2024
- 50
- 40
- 30
- Cannot be determined, as the value of n is not given
- 60
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Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Let the guava club play ‘x’ football matches till now.
Given that:
40/100 x x + n = 50/100(x+n)
or, x = 5n
Also,
40/100 x x + 15 = 60/100(x+n+15)
or, x = 2n + 30
Thus, 5n = 2n + 30
or, n = 10
or, x = 50
Hence, option A is the correct answer.
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