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?

We can solve this using the 'Surplus Distribution' logic found in previous years' analysis (e.g., 2016 Question 77 [18, 45]).\n\n1. **Identify the Change:** The average score increased by 2.6 after the 60th inning. This means the *entire* group of 60 innings is now 2.6 runs higher on average than the baseline of 46.4.\n\n2. **Calculate Total Surplus:** The new innings (last 10) not only had to match the old average (46.4) but also provide enough extra runs to lift the average for everyone. \n Total Surplus needed = Total Innings × Increase in Average\n Total Surplus = 60 × 2.6 = 156 runs.\n\n3. **Distribute Surplus to New Innings:** These 156 'extra' runs came solely from the last 10 innings. \n Surplus per new inning = 156 / 10 = 15.6 runs.\n\n4. **Derive Final Average:** \n Average of last 10 = Old Baseline Average + Surplus per new inning\n Average = 46.4 + 15.6 = 62.\n\nThis method matches the intuitive 'Distribution of Change' approach [42] and avoids calculating the sum of 50 innings (2320) or 60 innings.