Question

2. If the price of a book is first decreased by 25% and then

increased by 20%, then the net change in the price will be​

Answer 1

Answer:

10% decrease

Step-by-step explanation:

let the original price of the book be ₹x

Then the price after decreasing 25%= x*(1-25/100)

=x*75/100

=₹75x/100

now 20% is increased

Therefore the new price is= 75x/100*(1+20/100)

=75x/100*120/100

=₹9x/10

net change=9x/10÷x*100

=9/10*100

=90%

hence,10% is decreased from the original price.

Answer 2

Given:

If the price of a book is first decreased by 25% and then increased by 20%.

To find:

The net change in the price will be?

Solution:

Let the price of the book is 100

First, decreased by 25%

=> 100 x 25/100 = 25

=> 100 - 25

=> 75

Then, increased by 20%

=> 75 x 20/100 = 15

=> 75 + 15

=> 90

Net change is => 100 - 90 = 10

Hence, The net change in the price will be a 10% decrease.