A batsman rsquo s average for a certain number of innings was 42 5 In the next four innings he score...........

Quantitative Aptitude ( CCS) Average

A batsman’s average for a certain number of innings was 42.5. In the next four innings he scored 45, 48, 41 and 56 runs and his average for all the innings was raised by 1.25. How many innings in all did he play?

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Explanation:

Let the average of a batsman for n innings = 42.5
total of n innings = 42.5n
new average = (42.5n+20+75+15+0)(n+4) which is equal to (42.5-5)
= (42.5n+110)(n+4) = 37.5

42.5n + 110 = 37.5n + 150
5n = 40, n = 8
Number of total innings he played = (n+4) = 12

Hence, option 3 is the correct answer.