The average score of a batsman after his 50th innings was 46.6. After 60th innings, his average score increases by 2.6. What was his average score in the last ten innings?

Correct Option (3)

The average score of the batsman after 50 innings was 46.4.

• The total score accumulated after 50 innings is calculated as: Average score × Number of innings = 46.4 × 50 = 2320.
• The average score increases by 2.6 after the 60th innings. Therefore, the new average score after 60 innings becomes: 46.4 + 2.6 = 49.
• The total score accumulated after 60 innings is calculated as: New average score × Number of innings = 49 × 60 = 2940.
• The total score obtained in the last 10 innings (from 51st to 60th) is the difference between the total scores after 60 and 50 innings: 2940 − 2320 = 620.
• The average score in the last 10 innings is determined by dividing the total score in these innings by the number of innings: 620 / 10 = 62.

Therefore, the average score in the last ten innings is 62.

Incorrect Options:

Options (1) 122, (2) 91, and (4) 49 are incorrect based on the detailed calculation provided above.