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Answers
Step-by-step explanation:
Q.1) Often prices are increased or decreased by a percentage.
In this section we consider how to increase or decrease quantities by using percentages.
Example 1
Katie earns £40 per week for her part-time job. She is to be given a 5% pay rise.
How much will she earn per week after the pay rise?
Example 2
The prices of all the televisions in a shop are to be increased by 8%.
Calculate the new price of a television that originally cost £150.
Example 3
In a sale the cost of a computer is reduced by 30%. The normal price of the computer was £900.
Calculate the sale price of the computer.
Q.2)
When a quantity grows (gets bigger), then we can compute its PERCENT INCREASE:
PERCENT INCREASE=(
new amount
−
original amount
)
original amount
Some people write this formula with
100
%
at the end,
to emphasize that since it is percent increase, it should be reported as a percent.
So, here's an alternate way to give the formula:
PERCENT INCREASE
=
(
new amount
−
original amount
)
original amount
⋅
100
%
Recall that
100
%
=
100
⋅
1
100
=
1
.
So,
100
%
is just the number
1
!
Multiplying by
1
doesn't change anything except the name of the number!
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Step-by-step explanation:
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