Question
Download Solution PDFThe batting average for 30 innings of a cricket player is 40 runs. His highest score exceeds his lowest score by 100 runs. If these two innings are not included, the average of the remaining 28 innings is 38 runs. Then the lowest score of the player is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The batting average for 30 innings of a cricket player is 40 runs.
His highest score exceeds his lowest score by 100 runs.
If these two innings are not included, the average of the remaining 28 innings is 38 runs.
Formula used:
Total runs for 30 innings = Average × Number of innings
Total runs for 28 innings = Average × Number of innings
Calculation:
Total runs for 30 innings = 40 × 30
⇒ Total runs for 30 innings = 1200
Total runs for 28 innings = 38 × 28
⇒ Total runs for 28 innings = 1064
Let the lowest score be x and the highest score be x + 100.
⇒ x + (x + 100) = 1200 - 1064
⇒ 2x + 100 = 136
⇒ 2x = 136 - 100
⇒ 2x = 36
⇒ x = 18
∴ The lowest score of the player is 18. The correct answer is option (4).
Last updated on Jun 19, 2025
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