Question

In a certain season, the Indian cricket team had a $40\%$ success rate in the first 80 matches it played. What is the minimum number of additional matches it must play so that it has a $60\%$ success rate for the season?

• A. 30
• B. 40
• C. 45
• D. 35

Answer 1

Answer: (B)

(i) Find the number of matches won out of 80 matches. Minimum number of additional matches is equal to the number of matches to be won.
(ii) First, find the number of matches won out of 80 matches played.
That is, $\frac{40}{100}\times 80=32$.
(iii) To get minimum number of matches to be played, it has to win all the additional matches.
(iv) Let the required number of matches $=x$.
$\Rightarrow \frac{(32+x)}{(8+x)}\times 100=60\text{. }$