A cricket player's average over 10 innings is 32 runs. How many runs must he score in the 11th innings to raise his average by 4 runs (to 36)?

Introduction / Context:
Average = total / count. To raise an average after one more data point, compute the target new total and subtract the current total to find the required score.

Given Data / Assumptions:

• Current average over 10 innings = 32 ⇒ current total = 10 * 32 = 320.
• Desired new average over 11 innings = 36 ⇒ target total = 11 * 36 = 396.

Concept / Approach:
Required runs in 11th = target total − current total.

Step-by-Step Solution:

Verification / Alternative check:
After scoring 76, new total = 396; 396/11 = 36, as desired.

Why Other Options Are Wrong:
79, 85, 87 yield averages of 36.18..., 36.64..., 36.91..., not exactly 36.

Final Answer:
76