Question : In nine innings of cricket, the average of a batsman is 58 runs. How many runs does he need to make in the tenth inning to get the average score of 61?
Option 1: 88
Option 2: 69
Option 3: 79
Option 4: 100
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Correct Answer: 88
Solution :
Let's denote the total runs scored in the nine innings by the batsman as T. The average score in these nine innings is given as 58.
Average = $\frac{\text{Total runs scored}}{\text{Number of innings}}$
For the first nine innings:
⇒ Total = 58 × 9 = 522
Now, the batsman wants an average of 61 after ten innings.
Total runs after 1o innings = 10 × 61 = 610
So, runs scored in 10th inning = 610 - 522 = 88
Hence, the correct answer is 88.
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