The average of some numbers is 57. If 68% of the numbers are increased by 6 and the remaining are de

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27 Jun 2022 Average

The average of some numbers is 57. If 68% of the numbers are increased by 6 and the remaining are decreased by 8, then the average so obtained will be:

OPtion

1) 58.92
2) 60.52
3) 56.26
4) 60.24
5) 58.52
6) 55.48
7) 59.52
8) 57.78
9) 57.52
10) None of these

Solution

Let there be total 'x' numbers, then new average = (57x + 0.68x*6 - 0.32x*8) / x = 58.52

Alternate Method:
Let there be 100 numbers and their average is 57, Sum=5700
For 68 numbers average=(57+6)=63, Sum=68*63=4284
For remaining 32 numbers average=(57-8)=49, Sum=32*49=1568
New average = (4284+1568)/100 = 58.52
Correct Option 5)

Correct Option: 5 Best Solution (1)

G.S.Kantharao   1 year AGO

Let the number is 100x
Average =57
Increase of 68%=68x*6=408x
32%decrease 8=-256x
Over all difference=152x
Average=1.52
New Average =57+1.52=58.52
My option is 5👈

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