The average of some numbers is 54.6. If 75% of the numbers are increased by 5.6 each, and the rest are decreased by 8.4 each, then what is the average of the numbers so obtained?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e 56.7
Explanation:
New average of the numbers = (average + increment/decrements)
The average of some numbers = 54.6
75% of the numbers are increased by 5.6 each, and the rest are decreased by 8.4 each so,
New average of the numbers = 54.6 + (5.6 × 75/100 - 8.4 × 25/100) = 54.6 + 4.2 - 2.1 = 56.7