IIFT 2019 Question 18

Question 18

A cricket team has 11 players and each of them has played 20 matches till date. Virat, Rohit, Mahendra, Rahul and Shikhar have scored runs at an average of 60, 55, 50, 45 and 40 respectively. Rest of the players have scored at an average of 25 each. In the next 10 matches, Virat and Rohit each scored 900 runs whereas Mahendra scored twice that of Rahul. After 30 matches, if Virat’s new average score is twice that of Rahul, what is the approximate average score of Mahendra ?

Solution

The average scores of Virat, Rohit, Mahendra, Rahul and Shikhar in the first 20 matches are 60, 55, 50, 45,40 respectively.

In the next 10 matches, Virat and Rohit each scored 900 runs whereas Mahendra scored twice that of Rahul.

Virat's score in 30 matches = 60*20+900=2100

Let us consider Rahul scored x runs in last 10 matches, then Mahendra scores 2x runs.

Rahul's score in 30 matches = 45*20+x=900+x

Mahendra's score in 30 matches = 50*20+2x = 1000+2x

It is given that 

After 30 matches, Virat’s new average score is twice that of Rahul.

2100=2(900+x)

x=150

Mahendra's score in 30 matches =1300

Average score of Mahendra = 43

C is the correct answer.


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