MBApyq

Matches won by a team in tournament

CAT 2021 Slot 3 · Quantitative Ability · Easy · Percentages

This is an easy Quantitative Ability question from the CAT 2021 Slot 3 paper. It tests Percentages. The full answer key and a step-by-step explanation are below — try it yourself first, then reveal the solution.

All CAT 2021 Slot 3 questionsMore Percentages questionsAll CAT QA

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 be

  1. A.

    86

  2. B.

    84

  3. C.

    78

  4. D.

    80

Answer

B

Explanation

Matches played = 40, won = 30%×40=1230\% \times 40 = 12.

Let remaining matches be RR. If they win 60% of RR, overall win rate is 50%: 12+0.6R40+R=0.5  ⟹  12+0.6R=20+0.5R  ⟹  0.1R=8  ⟹  R=80\frac{12 + 0.6R}{40 + R} = 0.5 \implies 12 + 0.6R = 20 + 0.5R \implies 0.1R = 8 \implies R = 80

If they win 90% of the remaining matches: Total matches won=12+0.9(80)=12+72=84\text{Total matches won} = 12 + 0.9(80) = 12 + 72 = 84.

Related Percentages questions

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace