Multiple choice

The average of ‘n’ numbers is 42. If 25% of the numbers are decreased by 8 each and the remaining numbers are increased by 4 each, then what is the average of the numbers, So Obtained?

  1. 42.5

  2. 43.5

  3. 43

  4. 44
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let total numbers = n. Sum = 42n. 25% of n = 0.25n numbers decrease by 8: total change = -8 × 0.25n = -2n. 75% of n = 0.75n numbers increase by 4: total change = +4 × 0.75n = +3n. Net change = -2n + 3n = +n. New sum = 42n + n = 43n. New average = 43n/n = 43.

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