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 articles

Answer 1

Answer:

Percentage of change = 16%

Step-by-step explanation:

Let us assume the price of product be 100rs

increase in price is 20% hence new price is 20% of 100 =20 so new price would be 100+20=120.

Afterward there is a decrease of 30 % in price from 120 rs, hence 30% of 120 is 36 so new price would be 120–36 = 84.

So the overall %change is 16% as the initial price was Rs 100 and new price is Rs 84

Answer 2

Answer:

Solution

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Let the original price be x

Then increased to 20%⟹x+

100

20

x=

5

6

x

Then decreased to 30%⟹

5

6

x−

100

30

×

5

6

x=

25

21

x

So the net decrease is x−

25

21

x=

25

4

x

The percentage change is

x

25

4

x

×100=16%