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

Related Questions

Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. The average score of a batsman in 13 innings is 38. If the score in 14th and 15th innings are added, what will be the average? l. If the score in 14th innings was 55. ll. If the scores 15th innings was 12