Simplifying Ratios
Equivalent Ratios
Ratio Word Problems
Profit/Loss
Percentage Profit/Loss
100
Simplify:
6:10
3:5
100
2:3 = 4: ?
6
100
The ratio of girls to boys in a gardening club was 3 : 5. There were 30 girls. How many boys were there in the club?
50 boys
100
You buy a chocolate for $1. You sell it for $3. How much profit did you make?
$2
100
You buy a chocolate for $1. You sell it for $3. What percentage profit did you make?
200% profit
200
Simplify
10:12
5:6
200
1:5 = ?:35
7
200
The ratio of transparent marbles to green ones is 3 : 5. If there are 27 transparent marbles, how many green ones are there?
45 green marbles
200
You buy a couch for $3500 and sell it a few years later for $2700. How much of a loss did you make?
$800
200
You buy a couch for $3500 and sell it a few years later for $2700. What percentage loss did you make?
22.86% loss
300
Simplify
6:9
2:3
300
3:7 = 9:?
21
300
The ratio of milk to milo is 4:3. If 9 tablespoons of milo are used, how much milk is needed?
12 tablespoons
300
You bought a motorbike for $750. When you sold it, you made a loss of $120. What did you sell it for?
$630
300
You bought a motorbike for $850 and sold it for $670. What percentage loss did you make?
21.18% loss
400
Simplify
124 : 240
31:60
400
12:13 = ? : 39
36
400
The ratio of gravel to cement is 4:1. If 280 tonnes of gravel is used, how much cement is required to go with it?
70 tonnes cement
400
A shop bought 20 books for $500. They sold them for $25 each. How much profit/loss did they make?
None - they broke even
400
A shop bought 45 cartons of Pepsi Max for $14 each and sold them for $23 each. What percentage profit did they make?
64.29% profit
500
Simplify
109:997
109:997
500
5:9 = ?:108
60
500
You are mixing paint for your bedroom and the shade you require needs a ratio of 1:2:3, white, blue and purple.
You have 1800mL of purple paint. How much white and blue paint will you need?
White: 600mL
Blue: 1200mL
500
Miss Jensen ordered 120 custom Rollo Funko Pops for bulk pricing at $24 each. She sold them for $60 each (and ran out spectacularly quickly). How much profit did she make?
$4320
500
Miss Jensen ordered 120 custom Rollo Funko Pops for bulk pricing at $24 each. She sold them for $60 each (and ran out spectacularly quickly). How much profit did she make?
150% profit