The population of a place in a particular year increased by 15℅ .Next year,it decreased by 15 % find d the net increase or decrease
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Answer :- Decreased by 2.25%
Given :- The population of a place in a particular year increased by 15℅ .Next year,it decreased by 15 %.
To find:-
The net increase or decrease.
Solution :
Let the initial population be x
population after first year:
Increase = 15% of x = 0.15x
Population = x + 0.15x = 1.15x
population after second year:
Decrease = 15% of 1.15x = 0.15(1.15x) = 0.1725x
Population = 1.15x - 0.1725x = 0.9775x
net decrease:
net decrease = x - 0.9775x = 0.0225x
Percentage decrease:
Percentage decrease = (decrease ÷ original) x 100
Percentage decrease = (0.0225x ÷ x) x 100 = 2.25%
Hence, The population has decreased by 2.25%
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