Question

The cost of an article is first increased by 20% and then decreased by 30% , find the percentage change in the cost of the article.​

Answer 1

The cost of an article is first increased by 20% and then decreased by 30% , find the percentage change in the cost of the article.

Answer

Let the original price be x

Then increased to 20%⟹x+10020x=56x

Then decreased to 30%⟹56x−10030×56x=2521x

So the net decrease is x−2521x=254x

The percentage change is x254x×100=16%

Answer 2

16%

Step-by-step explanation:

let the initial cost be X

after increasing =X+20X/100=6X/5

then decreasing =6X/5-(30/100×6X/5)

=6X/5-36X/100

=84X/100

change in price =X-84X/100

= 16X/100

change in percentage of cost= (16X/100)/X ×100

=16%