Vishnu scored X runs in his 10th innings. After scoring those runs, his average increased by 8 runs. If the new average is 28, then find the value of X.

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RRB Group D 6 Oct 2022 Shift 1 Official Paper
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  1. 110
  2. 90
  3. 105
  4. 100

Answer (Detailed Solution Below)

Option 4 : 100
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Detailed Solution

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Given:

Vishnu scored X runs in his 10th innings.

His average after 10th innnings = 28.

After scoring in 10th innings his average increased by 8 runs.

Concept Used:

Average = Total runs/ Total innings

Calculation:

His average after 10th innnings = 28.

After scoring in 10th innings his average increased by 8 runs.

His average in 9th innings = 28 - 8 = 20

Vishnu total runs after 10th inning = 28 × 10 = 280 runs

Vishnu total runs after 9th inning = 9 × 20 = 180 runs.

Vishnu score in 10th inning, X runs = 280 - 180 = 100 runs

∴ Option 4 is the correct answer.

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