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?

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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)
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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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