Question 59

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?

Solution

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 \times 75/100 - 8.4 \times 25/100) = 54.6 + 4.2 - 2.1 = 56.7

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