The average score of a batsman after his 50th innings was 46.4
The average score of a batsman after his 50th innings was 46.4. After 60th innings, his average score increases by 2.6. What was his average score in the last ten innings?
- 122
- 91
- 62
- 49
Answer: C
Explanation
Method I:
Average score after 50 innings = 46.4
So, total score after 50 innings = 50 × 46.4 = 2320
Average score after 60 innings = 46.4 + 2.6 = 49
So, total score after 60 innings = 60 × 49 = 2940
Hence, Average score of 10 innings = (Runs scored in 10 innings)/10
= (2940 - 2320)/10
= 620/10
= 62
Method II:
Average score after 50 innings = 46.4
After 10 more innings his average increases by 2.6 runs, so his average becomes 49.
Runs that he need to score in order to make this increase effective = The runs he need to fill the gap in average in the last 50 innings + The runs he need to make in the 10 innings with an average of 49
= (2.6 × 50) + (49 × 10)
= 130 + 490
= 620
So, his average in last ten innings = (Runs scored in 10 innings)/10
= 620/10
= 62
- Exam Year: 2020