Question

In a tournament, a team has played 40 matches so far and won 30% of them. If they win 60% of the remaining matches, their overall win percentage will be 50%. Suppose they win 90% of the remaining matches, then the total number of matches won by the team in the tournament will b

• A. 86
• B. 84
• C. 78
• D. 80

Answer 1

Answer: (B)

84

Answer 2

Given that, initially number of matches team has played =40

The number of matches won by team =30% of 40=$\frac{30}{100}×40$=12

Let the remaining matches be x.

The number of remaining matches won by team =60% of

$x=\frac{60}{100}× x=0.06x$

simplifies :
$=12+1.2x=40+x$
$=0.2x=16$
$=x=\frac{16}{0.2}$
$x=80$
When the team won 90% of the remaining matches.

Then, the number of remaining matches won by the team 90% of
$80=\frac{90}{100}×80=72$
The total number of matches won by the team in the tournament

$=12+72=84$

so, correct answer is: 84.