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Question : Direction: The table given below shows the statistics of the top 10 scores in IPL 2016. A few entries are missing in the table. Here INN, AVG and SR stand for innings played, batting average, and batting strike rate respectively. Based on the table answer the following question.
(Strike rate = $\frac{\text{Runs}}{\text{balls faced}}\times $100) and AVG = $\frac{\text {Runs}}{\text {INN – NOT OUT}}$

Player INN Runs Not out Balls Faced AVG SR 4s 6s
Virat Kohli 12 752 3 508   148.03 60 28
AB de Villiers 12 597 2 344 59.7 173.55 51 32
David Wamer 12 567 2   56.7 155.77   23
Ajinkya Rahane 13 461   364 46.1   50 9
Rohit Sharma 13 459 3 351 45.9 130.77 45  
Gautam Gambhir 12 449 2 360 44.9 124.72 50 5
Shikhar Dhawan 12 402   352 50.25 114.2   4
Quinton de Kock 11 385 1 266 38.5   47 12
Murali Vijay 12 378 1 315 34.36   44 6
Ambati Rayudu 12 334 1 278 30.36 120.14 28 12

By what percentage approximately is the batting average of Virat Kohli more than that of Gautam Gambhir?

Option 1: 80

Option 2: 85

Option 3: 75

Option 4: 70


Team Careers360 24th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

Correct Answer: 85


Solution : Virat Kohli's batting average = $\frac{\text{Runs}}{\text{Inning – Not out}}$ = $\frac{752}{12-3}$ = 83.66
Also, batting average of Gautam Gambhir = 44.9
So, the required percentage = $\frac{\text{Difference in batting average}}{\text{Batting average of Gautam Gambhir}}×100$
= $\frac{83.66-44.9}{44.9}×100$
= $\frac{38.37}{44.9}×100$
= 85.45% (approx)
Hence, the correct answer is 85.

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