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 Warner | 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 |
Approximately by what percentage strike rate of Rahane is greater/lower than the strike rate of Kock?
Option 1: 12% greater
Option 2: 12% lower
Option 3: 10% greater
Option 4: 10% lower
Correct Answer: 12% lower
Solution :
Rahane's strike rate = $\frac{\text{Runs}}{\text{Ball faced}}\times100$
= $\frac{461}{364}\times100 = 127$
Kock strike rate = $\frac{\text{Runs}}{\text{Ball faced}}\times100$
= $\frac{385}{266}\times100 = 145$
$\therefore$ Rahane's strike rate is lower than Kock's.
Required percentage = $\frac{145-127}{145}\times100$
= $\frac{18}{145}\times100$
= 12%
Hence, the correct answer is 12% lower.
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