Iift 2019 Question 18
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IIFT
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.