The average run scored by cricketer in 42 innings is 30. The difference between his maximum and minimum scores in an innings is 100. If these two innings are not taken into consideration, then the average score of the remaining 40 innings is 28. Calculate the maximum runs scored by him in an innings?


A) 125

B) 120

C) 110

D) 100

Correct Answer:
B) 120

Description for Correct answer:
Let the minimum score = x.

Maximum score = x + 100

\( \large x + \left( x + 100\right) = 30 \times 42 - 40 \times 28\)

= > 2x + 100 = 1260 - 1120 = 140

= > 2x = 140 - 100 = 40

X = 20

Hence the maximum score = x + 100

=20 + 100 = 120

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