Question

A number is increased by 40 % and then decreased by 40 %. Find the net increase or decrease per cent.??​

Answer 1

Answer:

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Step-by-step explanation:

Let the number be 100.

Increase in the number = 40 % = 40 % of 100

= (40/100 × 100)

= 40

Therefore, increased number = 100 + 40 = 140

This number is decreased by 40 %

Therefore, decrease in number = 40 % of 140

= (40/100 × 140)

= 5600/100

= 56

Therefore, new number = 140 - 56 = 84

Thus, net decreases = 100 - 84 = 16

Hence, net percentage decrease = (16/100 × 100) %

= (1600/100) %

= 16 %

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Answer 2

Answer:

Let the number be 100

Increased by 40%

= 100 + ( 40% of 100 )

= 100 + 40

= 140

Now decreased by 40%

= 140 - ( 40% of 140 )

= 140 - ( 14 × 4 )

= 140 - 56

= 84

Net decrease = 100 - 84 = 16

Percentage = 16% of 100 = 16%

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