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A cricketer has a certain average for 9 innings. In the tenth innings, the score is 100 runs, thereby increasing his average by 8 runs. His new average is:Options :20 runs24 runs28 runs32 runs

Question

A cricketer has a certain average for 9 innings. In the tenth innings, the score is 100 runs, thereby increasing his average by 8 runs. His new average is:Options :20 runs24 runs28 runs32 runs

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Solution

The problem can be solved by following these steps:

  1. Let's assume the average of the first 9 innings is 'x' runs.
  2. Therefore, the total runs scored in the 9 innings is 9x.
  3. In the 10th innings, the cricketer scores 100 runs. So, the total runs scored in 10 innings is 9x + 100.
  4. This increases his average by 8 runs. So, the new average is x + 8.
  5. The new average can also be calculated by dividing the total runs by the number of innings. So, (9x + 100) / 10 = x + 8.
  6. Solving this equation gives x = 20.
  7. Therefore, the new average is 20 + 8 = 28 runs.

So, the correct option is 28 runs.

This problem has been solved

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