Question

The average score of a batsman for a certain number of innings was 42 runs. In the next five innings he scored 20, 35, 25, 10 and 40 runs and his average for all the innings came down by 5. How many innings did he play in all?
1. 12
2. 16
3. 15
4. 14

Answer 1

Correct Answer - Option 2 : 16

Concept:

Average = (Sum of total score)/(Total innings)

Calculation:

Let be assume before inning was p

Total score of batsman was = 42 × p

Now, total inning is = p + 5

and, total score = 20 + 35 + 25 + 10 + 40 + (42 × p) = 130 + (42 × p)

Now average 

⇒ 42 - 5 = [130 + (42 × p)]/(p + 5)

⇒ p = 11

⇒ Total inning he play is = 11 + 5

⇒ 16

∴ The required result will be 16.