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?
New average of the numbers = (average + increment/decrements)
The average of some numbers =Â 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 =Â 54.6 + (5.6 \times 75/100 - 8.4 \times 25/100) = 54.6 +Â 4.2 - 2.1 = 56.7
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