a number is increased by 20 % and then it decreased by 10%. find the net increase or decrease per cent
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A number is increased by 20% and then decreased by 20%. What is the net increase or decrease percent?
Assume that the number is 100. Then, 20% of 100 is 20×100100 = 20. Increasing 100 by 20% means increasing 100 by 20 and the resultant number is 120.
Now the new number is 120. 20% of 120 is 20×120100 = 120/5 = 24. Thus decreasing 120 by 20% means same as subtracting 24 from 120 and the resultant number will be 120 — 24 = 96.
Since 96 is less than 100, the original number, net decrease
=100−96100×100
=4100×100
=4
Thus the net decrease is 4%. It is true for all other numbers.
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