In an innings, the average of the first 6 batsmen is 50, while that of the latter 5 batsmen is 20. If the scores of three batsmen from the first lot and three from the latter are swapped, the average of its first six becomes 40, then what would the average of latter five become?
In an innings, the average of the first 6 batsmen is 50, while that of the latter 5 batsmen is 20. If the scores of three batsmen from the first lot and three from the latter are swapped, the average of its first six becomes 40, then what would the average of latter five become? Correct Answer 32
Average scores of first 6 batsmen = 50
Sum of scores of first 6 batsmen = 50 × 6 = 300
Average of next 5 batsmen = 20
Sum of scores of next 5 batsmen = 20 × 5 = 100
Sum of scores of all 11 batsmen = 300 + 100 = 400
New average scores of first 6 batsmen = 40
Sum of scores of first 6 batsmen = 40 × 6 = 240
Sum of scores of next 5 batsmen = 400 – 240 = 160
Average scores of next 5 batsmen = 160/5 = 32
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Feb 20, 2025