Ratio and Proportion Worksheet
The method (One part): Divide in a ratio a : b: one part = total ÷ (a + b); shares are a parts and b parts. If you know one share, one part = that share ÷ its number of parts. Proportion a : b = c : d means a × d = b × c (fourth proportional d = b × c ÷ a; third proportional to a and b is b × b ÷ a).
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- 1.Divide ₹360 between Dev and Aarav in the ratio 8 : 1. How much does Aarav get (in ₹)?
- 2.11 : 4 = 44 : ?
- 3.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
- 4.Divide ₹416 between Dev and Pooja in the ratio 9 : 4. How much does Dev get (in ₹)?
- 5.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
- 6.The ratio of boys to girls in a class is 2 : 3. There are 16 boys. How many girls are there?
- 7.The ratio of boys to girls in a class is 4 : 9. There are 8 boys. How many girls are there?
- 8.6 : 12 = 42 : ?
- 9.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
- 10.10 : 4 = 60 : ?
- 11.2 : 5 = 12 : ?
- 12.3 : 5 = 6 : ?
- 13.Divide ₹50 between Isha and Farhan in the ratio 1 : 4. How much does Farhan get (in ₹)?
- 14.The ratio of boys to girls in a class is 2 : 1. There are 6 boys. How many girls are there?
- 15.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
- 16.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 17.Divide ₹605 between Rohan and Kavya in the ratio 7 : 4. How much does Rohan get (in ₹)?
- 18.Divide ₹91 between Tara and Farhan in the ratio 8 : 5. How much does Farhan get (in ₹)?
- 19.4 : 7 = 8 : ?
- 20.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
- 21.7 : 8 = 42 : ?
- 22.Divide ₹102 between Sneha and Isha in the ratio 5 : 1. How much does Sneha get (in ₹)?
- 23.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
- 24.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
- 25.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
- 26.Divide ₹175 between Arjun and Sneha in the ratio 5 : 2. How much does Arjun get (in ₹)?
- 27.The ratio of boys to girls in a class is 9 : 8. There are 27 boys. How many girls are there?
- 28.Divide ₹72 between Rahul and Vivaan in the ratio 7 : 2. How much does Vivaan get (in ₹)?
- 29.Divide ₹688 between Ishaan and Ananya in the ratio 9 : 7. How much does Ananya get (in ₹)?
- 30.3 : 5 = 21 : ?
- 31.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
- 32.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
- 33.12 : 15 = 24 : ?
- 34.Divide ₹504 between Pooja and Ishaan in the ratio 8 : 1. How much does Ishaan get (in ₹)?
- 35.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
- 36.The ratio of boys to girls in a class is 4 : 5. There are 32 boys. How many girls are there?
- 37.Divide ₹592 between Arjun and Kavya in the ratio 7 : 9. How much does Kavya get (in ₹)?
- 38.The ratio of boys to girls in a class is 4 : 5. There are 36 boys. How many girls are there?
- 39.7 : 10 = 14 : ?
- 40.Divide ₹265 between Saanvi and Aditya in the ratio 2 : 3. How much does Saanvi get (in ₹)?
Answer key
- 40
- 16
- 4
- 288
- 9
- 24
- 18
- 84
- 112
- 24
- 30
- 10
- 40
- 3
- 64
- 16
- 385
- 35
- 14
- 24
- 48
- 85
- 8
- 4
- 128
- 125
- 24
- 16
- 301
- 35
- 3
- 50
- 30
- 56
- 18
- 40
- 333
- 45
- 20
- 106
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