The average runs of a cricket player of 10 innings were 40. How many runs must she make in her next inning so as to increase her average of runs by 3?

This question was previously asked in
SSC MTS (2022) Official Paper (Held On: 08 May 2023 Shift 1)
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  1. 53
  2. 43
  3. 63
  4. 73

Answer (Detailed Solution Below)

Option 4 : 73
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
90 Qs. 150 Marks 90 Mins

Detailed Solution

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Given:

Average score for 10 innings = 40 runs, Desired average = 43 runs

Formula used:

Total runs needed for desired average = Desired average × (Number of innings + 1)

Calculation:

Total runs needed = 43 × (10 + 1) ⇒ Total runs needed = 473

Runs in next innings = Total runs needed - Runs scored in 10 innings

⇒ Runs in next innings = 473 - 40 × 10 = 73

Therefore, she must score 73 runs in her next inning.

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