Question

A batsman has a definite average for 11 innings. That batsman scores 120 runs in his 12th innings due to which his average increased by 5 runs. Accordingly, what is the average of the batsman after 12 innings?

• A. 70
• B. 72
• C. 60
• D. 65

Answer 1

Answer:

D. 65

Solution: Formula Used: Average = Sum of observation/Total no. of observation Calculation: Let the average for 11 innings be X; Using the above formula - Total runs scored in 11 innings = 11 × X = 11X The average for 12 innings is X + 5 Total runs scored in 12 innings = 12(X + 5) ⇒ 12(X + 5) = 11X + 120 ⇒ 12X + 60 = 11X + 120 ⇒ X = 120 - 60 = 60 ⇒ Average after 12 innings = 60 + 5 = 65 ∴ The correct answer is 65