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The average of runs scored by a cricketer in his 99 innings is 99. How many runs will he have to score in his 100th innings so that his average of runs in 100 innings may be 100?
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- 100
- 99
- 199
- 101
- 100
Correct Option: C
Here , The average of runs scored by a cricketer in his 99 innings = 99
Sum of runs scored by a cricketer in his 99 innings = 99 × 99
Number of runs scored in 100th innings = 100 × 100 – 99 × 99
Number of runs scored in 100th innings = 10000 – 9801 = 199
Second method to solve this question with the help of given formula :
Increase in average = 1 run
∴ Runs scored in 100th innings = 100 + 99 = 199
