Percentages
To convert a decimal into a percentage ______ by 100.
Multiple
What is 10% as a fraction ?
1/10
Convert 0.9 to a fraction
9/10
a) The amount of money made on a sale is called?
b) The result when the selling price is less than the cost price?
a) Profit
b) loss
What is the simple interest formula ?
I=Prn
What is 1/5 as a percentage ?
1/5 x 100 = 20%
If a rectangle is broken in 24 equal squares. 4 squares are shaded.
What is my simplified fraction?
4/24 = 1/6
Write 19% as a decimal
0.19
An electrical store marks up all laptops by 30%
if the cost price of one laptop is $1000, what is the selling price?
100+30=130%
130% x 1000= $1300
$5000 is invested at 5% p.a for 3 years.
What would be my p in I=Prn for this question?
P = Principal amount
Therefore p=$5000 invested
Express the following decimals as percentages.
a) 0.78
b) 0.95
c) 1.04
a) 0.78 x 100 = 78%
b) 0.95 x 100 = 95%
c) 1.04 x 100 = 104%
Evaluate:
3/7 x 4/5
12/35
Round the following two decimal places
a) 8.576=
b) 364.3755=
a) 8.576=8.58
b) 364.3745=364.37
Apple is have a 12% discount on all products for the first 50 people on June 20th. If Billy was the 32nd person in line to purchase the new Iphone 17 pro which cost $2759. Find the total amount Billy will pay to the nearest dollar.
discount 100 - 12% = 88%
88% x 2759 = $2427.92
= $2428
Find the simple interested earned on $15 000 at 3% p.a for 7 years
I=Prn P= 15 000 r=3% or 0.03 and n=7
I=15 000 x 3% x 7
I=$3150
Complete the following
a) Find 45% of $43
b) Increase 450 by 56%
c) Decrease 80 by 5%
a) 45% x $43 = $19.35
b) 100 + 56 = 156%
156% x 450 = 702
c) 100 - 5 = 95%
95% x 80 = $76
Simplify the ratio
2 1/2 : 1 1/3
convert to improper fractions first
5/2 : 4/3
times by 3 times by 2
15/6: 8/6
15:8
Simplify the ratio
0.2 : 0.14
times each side by 100
20 : 14
10 : 7
A manufacture produces an item for $230 and sells it for $355.
a) Determine the profit made
b) Express the profit as a percentage of the cost price. To the nearest percent.
a) 355-230=$125
b) 125/230 x 100 = 54.347%
= 54%
a) Calculate the simplest interest earned on $2000 at 4%p.a for 6 months.
b) Calculate the future value
a) I=Prn P=2000 r=4% or 0.04 n = 6/12 (remember 12 month per year)
I=2000 x 4% x 6/12
I= 40
b) Future value: A=P+I
A= 2000 + 40
A=$2040
a) Determine the original amount if 5% of the amount is $45
5% is $45
divide each side by 5
1% is $5
Multiply by 100
Original amount (100%) is $500
Evaluate:
1 2/3 x 2 1/10
5/3 x 21/10 = 1/1 x 7/2
= 7/2
Round to 2 significant figures
3475
3500
A toy store discounts a toy by 10% in a sale. If the sale price was $10.80, what was the original price?
100 - 10=90%
90% is $10:80
divide both sides by 90
1% is 0.12
Multiply by 100
100% is $12
Bob invest $5000 at 5% p.a. simple interest, for a period of time to produce $100 interest. For how long did he invest the money?
I=Prn I=100 P=5000 r=5% or 0.05 n=???
100=5000 x 5% x n
100=250 x n
100/250 = n
n=0.4