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
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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