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A team has won 10 matches and lost 4. If these matches represent 70% of the matches to be played, how many more matches should the team has to win, so as to have a record of 75% wins.

A team has won 10 matches and lost 4. If these matches represent 70% of the matches to be played, how many more matches should the team has to win, so as to have a record of 75% wins. Correct Answer 5

Given:

Won matches = 10

Lost matches = 4

Calculations:

According to the question, we have

Total matches played = Win games + Lost games

⇒ Total matches played = 10 + 4

⇒ Total matches played = 14

It is given that 70% of the matches to be played

⇒ 70% = 14 Matches

⇒ 1% = 14/70 Match

⇒ 100% = (14/70) × 100 = 20 Matches

Now, 75% of 20 Matches is

⇒ (75/100) × 20

⇒ 15 Matches

Required matches to have a record of 75% wins

⇒ Required matches = 15 - 10

⇒ Required matches = 5 

∴ Required matches to have a record of 75% wins is 5.

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