A number is incresed by 40% and decrease by 40%.Find the net increase or decrease percent
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Let the number be “X”.
40% of X = (40/100)*X = (2/5)*X
Let X1 be the number after 40% increase, X1 = X + (2/5)*X
X1 = X (1 + (2/5))
X1 = X * (7/5)
40% of X1 = (40/100)*X1 = (2/5)* (7/5) * X = (14/25) * X
Let X2 be the number after 40% decrease of X1, X2 = (7/5)*X - (14/25) * X
X2 = (21/25)*X
The net decrease = X - X2 = X - (21/25)*X = (4/25)*X ———> Answer
40% of X = (40/100)*X = (2/5)*X
Let X1 be the number after 40% increase, X1 = X + (2/5)*X
X1 = X (1 + (2/5))
X1 = X * (7/5)
40% of X1 = (40/100)*X1 = (2/5)* (7/5) * X = (14/25) * X
Let X2 be the number after 40% decrease of X1, X2 = (7/5)*X - (14/25) * X
X2 = (21/25)*X
The net decrease = X - X2 = X - (21/25)*X = (4/25)*X ———> Answer
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