In 2003, Indian cricket team played 60 games and won 30 % of the games played. After a phenomenal winning streak, this team raised its average to 50%. How many games did the team win in a row to attain this average?

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Solution

The correct option is A 24
Let number of games won in a row = x
So $\frac{30 % o f 60) + x}{60 + x} = \frac{50}{100}$

$\frac{(\frac{30}{100} \times 60) + x}{60 + x} = \frac{50}{100}$

$36 + 2 x = 60 + x$

$∴ x = 24$

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In 2003, Indian cricket team played 60 games and won 30 % of the games played. After a phenomenal winning streak, this team raised its average to 50%. How many games did the team win in a row to attain this average?

The correct option is A 24Let number of games won in a row = xSo 30%of60)+x60+x=50100(30100×60)+x60+x=5010036+2x=60+x∴x=24

The correct option is A 24
Let number of games won in a row = x
So $\frac{30 % o f 60) + x}{60 + x} = \frac{50}{100}$

$\frac{(\frac{30}{100} \times 60) + x}{60 + x} = \frac{50}{100}$

$36 + 2 x = 60 + x$

$∴ x = 24$