Math, asked by ranjeetabudholiya9, 8 months ago

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​

Answers

Answered by EnchantedGirl
7

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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