A tennis player before playing a major tournament had a win ratio of 2

1.	A tennis player before playing a major tournament had a win ratio of 2 : 3. Win ratio is defined as the ratio of the number of matches won to the total number of matches played by a player. The player won 4 out of 5 matches played in the Australian Open and his win ratio after it is more than 69 : 100. What could be the maximum total number of matches played by the player including the matches played in the Australian Open?1. 222. 263. 244. 30
Answer» Correct Answer - Option 2 : 26 Calculation: Let the number of matches played by the player before the Australian Open be 3n. The number of matches won by him be 2n so that his win ratio is 2:3. After the Australian Open, ⇒ (2n + 4)/(3n + 5) > 69/100 ⇒ 200n + 400 > 207n + 345 ⇒ 7n < 55 ⇒ The maximum value of n is 7. The maximum number of matches played by the player before the Australian Open is 3n which is 21. The maximum number of matches played by the player after the Australian Open is ⇒ 21 + 5 ⇒ 26 The maximum total number of matches played by the player including the matches played in the Australian Open is 26.

A tennis player before playing a major tournament had a win ratio of 2 : 3. Win ratio is defined as the ratio of the number of matches won to the total number of matches played by a player. The player won 4 out of 5 matches played in the Australian Open and his win ratio after it is more than 69 : 100. What could be the maximum total number of matches played by the player including the matches played in the Australian Open?1. 222. 263. 244. 30

Answer» Correct Answer - Option 2 : 26

Calculation:

Let the number of matches played by the player before the Australian Open be 3n.

The number of matches won by him be 2n so that his win ratio is 2:3.

After the Australian Open,

⇒ (2n + 4)/(3n + 5) > 69/100

⇒ 200n + 400 > 207n + 345

⇒ 7n < 55

⇒ The maximum value of n is 7.

The maximum number of matches played by the player before the Australian Open is 3n which is 21.

The maximum number of matches played by the player after the Australian Open is

⇒ 21 + 5

⇒ 26

The maximum total number of matches played by the player including the matches played in the Australian Open is 26.