# Percentage I

Q1:

The price of a watch is increased by 30% and then decreased by 30%.Then how much percentage will the price for watch be change?

Ans:Formula=A x A/100

Here A=30

Price Change in Percentage = 30 x 30/100

=900/100

=9% loss

Q2:

The price of a book is decreased by 40% and then increased by 40%.Then how much percentage will the price for book be change?

Ans:Formula=A x A/100

Here A=40

Price Change in Percentage = 40 x 40/100

=1600/100

=16%  loss

Q3:

The price of a cycle is decreased by 60% and then increased by 60%.Then how much percentage will the price for cycle be change?

Ans:Formula=A x A/100

Here A=60

Price Change in Percentage = 60x 60/100

=3600/100

=36%  loss

Q4:

The price of a book is 800,which in turn decreased by 20% and then increased by 20%.What will be the new price of the book?

Ans: Formula= A x A/100

Here A=20

Price Change in Percentage = 20x 20/100

=400/100

=4%  loss

New price of the watch           =800-(4 x 800/100)

=768

Q5:

The price of a TV is decreased by 25%.As a result of which the sales increased by 20%.What will be the effect on the total revenue of the shop?

Ans: Assume,                            Price            Sales            Income

Before Price Change              100              100             100 x 100 =10000

When price decreased            75               120             75 x 120       = 9000

total revenue change= (10000-9000) x 100/10000 =1000 x 100/10000 = 10%    decreased
Q6:

The price of a cycle is decreased by 10%.As a result of which the sales increased by 20%.What will be the effect on the total revenue of the shop?

Ans:  Assume,                           Price             Sales           Income

Before Price Change              100              100             100 x 100 =10000

When price decreased            90               120             90 x 120       = 10800

total revenue change= (10000-10800) x 100/10000 =800 x 100/10000 = 8%    increased

Q7:

The price of a TV is increased by 20%.As a result of which the sales decreased by 20%.What will be the effect on the total revenue of the shop?

Ans: Assume,                              Price            Sales          Income

Before Price Change               100               100           100 x 100 =10000

When price decreased            120               80             90 x 120       = 9600

total revenue change= (10000-9600) x 100/10000 =400 x 100/10000 = 4%    decreased