Question

The price of an item increases by 20% and then decreases by 20%. so the price has

A.Increased by 4%
B.Decreased by 4%
C.Increased by 0%
D.Increased by 40%

Answer 1

Hello!

Let the price of an item =x

Increase of 20%, makes price =x+20%x

=x+0.2x
=1.2x

Decrease of 20%,makes price =1.2x-20/100*1.2x
=1.2x-0.2*1.2x

=1.2x-0.24x

=0.96x

x>0.96x

therefore, there is a total decrease

Total decrement =x-0.96x

=0.04x

Percent of decrement =0.04*100%x

=4%x

Option B

hope helped!!

Answer 2

Hello!!

Option B is the correct answer!

let the x be the price.

Increased = 20%
price = x+20%x

= x+0.2x
= 1.2x

Decreased = 20%
price = 1.2x - 20/100×1.2x
= 1.2x-0.2×1.2x
= 0.96x

Total decrease = x - 0.96x
= 0.04x

% of decreasement = 0.04×100%x
=4%x
=4%

Therefore, the answeris decreased in 4%

Option B is correct!

Hope it helps..!!