The average of runs of a cricket player of 10 innings was 32. How many runs must he take in his next innings so as to increase his average of runs by 4?

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answer is D.

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Detailed Solution

Concept- To calculate the player's overall run total in 10 and 11 innings, respectively, we use the average idea. After completing that, we may learn how many runs were scored in the 11th inning. We can infer from the question that a cricket player scored 32 runs on average over the course of 10 innings. With the use of the provided data, we can determine how many runs the cricket player scored overall over the course of 10 innings. Average runs scored divided by the number of innings equals the total runs scored in 10 innings.
Thus, we arrive at the following: The cricket player's total runs in 10 innings are 32 x 10, or 320 runs. The answer to the question is that the cricket player's average went up by 4 runs after scoring "x" runs in the eleventh innings. Consequently, the cricket player's new average runs scored in 11 innings is 32 + 4 = 36 runs.
Thus, 36

×

11 = 396 runs were scored by the cricket player over the course of 11 innings.
The number of runs scored in the eleventh inning is equal to the sum of the runs scored in the previous ten innings.
Runs scored in the 11th inning are therefore 396