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The average of runs of a cricket player of his last 10 innings was 32. How many runs musthe make in his next innings so as to increase his average of
Question

The average of runs of a cricket player of his last 10 innings was 32. How many runs musthe make in his next innings so as to increase his average of runs by 4? 

A.

2

B.

4

C.

70

D.

76

Correct option is D

To find how many runs the player must make in the next innings to increase his average by 4, let's break it down:

  • Total runs in the last 10 innings

    • Average runs = 32
    • Total runs = 10×32=32010 \times 32 = 320​​
  • New average after the next innings

    • Desired new average = 32 + 4 = 36
    • Total innings now = 10 + 1 = 11
    • Total runs needed for this average = 11×36=39611 \times 36 = 396​​
  • Runs needed in the next innings

    • Runs required = 396 - 320 = 76

Thus, the correct answer is (D) 76.

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