the average of a number is 36. if each of 75% of a number is increased by 6 and each of the remaining number is decreased by 9 then the new average of the number is
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Given:
the average of a number is 36.
To find:
new average of the number.
Solution:
1) let the total number is 100%
2) 75% is increased by 6 so the 25% will decreased by 9.
3) That increase and decrease of the number is distributed on the whole number which is 100%.
4) So the new average will be
- 75% 25%
- +6 -9
- Change in the average will be 75×6 - 25×9/100 = 2.25
so the new average will be 36 + 2.25 = 38.25
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