Question

A number is first decreased by 30% and then increased by 40% . Find the percentage increase or decrease on the whole.


PLZ SOLVE FAST

Answer 1

let the number be 100
Given that it is decreased by 30%
=> new number is 70

Also , then increased by 40%
Therefore new number will be
= 70 + 70×40/100
= 98

initial number = 100
final number = 98
decrease = 2
Therefore decrease % = 2

Answer 2

Let the number be 100.

(i)

A number is first decreased by 30%.

⇒ 30% of 100

⇒ 30.

Hence, decreased number = 100 - 30 = 70.

(ii)

Number is increased by 40%.

⇒ 40% of 70

⇒ (40/100) * 70

⇒ 28.

Hence, increased number = 70 + 28 = 98

⇒ 98.

(iii)

Net decrease = 100 - 98

⇒ 2.

(iv)

% decrease = (2/100 * 100)%

⇒ 2%.

Therefore, % decrease = 2%.

Hope it helps!