Question

19. 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.
This sum is fro lesson percentage

Answer 1

Answer:

The cost of the article is decreased by 10%

Answer 2

Answer: 16% decreasement

Step-by-step explanation

Let the real cost price of the article be ₹x.

The cost price when it was increased by 20%={x + 20% of x}=₹ (120% of x) = ₹(120x÷100)

the new cost price after decreasing 30% in ₹(120x ÷100)= ₹{(120x÷100) - 30&% of (120x ÷100)}=₹{70% of (120x ÷100)}=₹{(70 X 120x) ÷ 100 X 100} =₹(8400x ÷ 10000)

=₹ 0. 84x

Net decreasement in cost price of article=₹(x-0.84x)=₹0. 16

Decreasing %age in cost price= ( 0.16x÷ x X 100)% = (0.16 X 100) =16%