5. A number is increased by 10% and the increased number is decreased by 10%. Show that the net decrease is 1%.
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Step-by-step explanation:
Let the number is increased by 10%
x+
100
10x
=
10
11x
The number is decreased by 10%
=
10
11x
−
10
11x
×
100
10
=
10
11x
−
100
11x
=
100
99x
Decrease in percentage is
Decrease =x−
100
99x
=
100
x
So, Decrease %
=
x
100
x
×100%
=1%
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