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A cricketer has a certain average of 10 innings. In the eleventh inning, he scored 108 runs, thereby increasing his average by 6 runs. His new average is
48 runs
52 runs
55 runs
60 runs
Let the average be x.
Sum of scores of innings be 10x.
In eleventh innings he scored 108 runs.
So, Sum of scores after 11 innings = 10x + 108 .
Average = 10 x + 108 / 11.
According to the question, Average is increased by 6 .
x + 6 = 10x + 108 / 11
11 ( x + 6 ) = 10 x + 108
11x + 66 = 10x + 108
11x - 10x = 108 - 66
x = 42
So, New average = x + 6 = 42 + 6 = 48 .
Hence, option 1 is the correct answer.
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