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If team India has played (4/5)th of total 40 matches and wins 29 matches, then the maximum number of matches it can afford to lose from the remaining matches to maintain a more than 75% win record?
  • a)
    6
  • b)
    8
  • c)
    10
  • d)
    11
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If team India has played (4/5)th of total 40 matches and wins 29 match...
4/5 of 40 = 32 matches played out of which 29 won.
8 more matches are to be played.
75% of 40 = 30
To maintain more than 75% win record, it has to win at least 31 matches.
Team India has to win at least two out of the remaining eight matches. Hence, team India can afford to lose at most six matches.
Answer: 6
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Most Upvoted Answer
If team India has played (4/5)th of total 40 matches and wins 29 match...
4/5 of 40 = 32 matches played out of which 29 won.
8 more matches are to be played.
75% of 40 = 30
To maintain more than 75% win record, it has to win at least 31 matches.
Team India has to win at least two out of the remaining eight matches. Hence, team India can afford to lose at most six matches.
Answer: 6
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Community Answer
If team India has played (4/5)th of total 40 matches and wins 29 match...
To find the maximum number of matches that Team India can afford to lose from the remaining matches in order to maintain a win record of more than 75%, we need to consider the current win record and the total number of matches played.

Given:
Total matches played = 40
Matches won = 29
Remaining matches = (4/5) * 40 = 32

Let's calculate the current win record:
Win record = (Matches won / Total matches played) * 100
Win record = (29 / 40) * 100
Win record = 72.5%

Since we want to maintain a win record of more than 75%, the maximum number of matches that can be lost is determined by the difference between the desired win record and the current win record.

Desired win record = 75%
Maximum number of matches that can be lost = (Desired win record - Current win record) / 100 * Total matches played

Maximum number of matches that can be lost = (75 - 72.5) / 100 * 40
Maximum number of matches that can be lost = 2.5 / 100 * 40
Maximum number of matches that can be lost = 1 / 40 * 40
Maximum number of matches that can be lost = 1

Therefore, Team India can afford to lose a maximum of 1 match from the remaining 32 matches in order to maintain a win record of more than 75%.

However, since the options provided in the question are not in decimal format, we need to round up the result to the nearest whole number.

Rounding up 1 to the nearest whole number, we get 1 match.

Hence, the maximum number of matches that Team India can afford to lose from the remaining matches is 1, which corresponds to option A.
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