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 ₹918 between Farhan and Meera in the ratio 8 : 9. How much does Meera get (in ₹)?
- 2.2 : 11 = 16 : ?
- 3.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
- 4.Divide ₹506 between Ananya and Karan in the ratio 2 : 9. How much does Karan get (in ₹)?
- 5.Divide ₹594 between Saanvi and Karan in the ratio 9 : 2. How much does Karan get (in ₹)?
- 6.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 7.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 8.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
- 9.6 : 10 = 42 : ?
- 10.Divide ₹240 between Pooja and Dev in the ratio 1 : 7. How much does Dev get (in ₹)?
- 11.Divide ₹96 between Arjun and Pooja in the ratio 5 : 7. How much does Arjun get (in ₹)?
- 12.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
- 13.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
- 14.Divide ₹80 between Diya and Ananya in the ratio 1 : 9. How much does Diya get (in ₹)?
- 15.Divide ₹350 between Rohan and Arjun in the ratio 5 : 9. How much does Rohan get (in ₹)?
- 16.6 : 13 = 30 : ?
- 17.10 : 3 = 80 : ?
- 18.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
- 19.Divide ₹312 between Manav and Rohan in the ratio 1 : 7. How much does Manav get (in ₹)?
- 20.6 : 8 = 24 : ?
- 21.Divide ₹400 between Aarav and Rohan in the ratio 7 : 1. How much does Aarav get (in ₹)?
- 22.8 : 12 = 24 : ?
- 23.The ratio of boys to girls in a class is 3 : 4. There are 24 boys. How many girls are there?
- 24.The ratio of boys to girls in a class is 1 : 8. There are 6 boys. How many girls are there?
- 25.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
- 26.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
- 27.7 : 6 = 28 : ?
- 28.Divide ₹165 between Dev and Rohan in the ratio 4 : 1. How much does Rohan get (in ₹)?
- 29.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
- 30.The ratio of boys to girls in a class is 5 : 9. There are 20 boys. How many girls are there?
- 31.6 : 11 = 48 : ?
- 32.4 : 13 = 20 : ?
- 33.The ratio of boys to girls in a class is 9 : 4. There are 54 boys. How many girls are there?
- 34.4 : 5 = 36 : ?
- 35.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
- 36.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
- 37.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
- 38.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
- 39.The ratio of boys to girls in a class is 5 : 2. There are 50 boys. How many girls are there?
- 40.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
Answer key
- 486
- 88
- 20
- 414
- 108
- 12
- 80
- 128
- 70
- 210
- 40
- 28
- 80
- 8
- 125
- 65
- 24
- 12
- 39
- 32
- 350
- 36
- 32
- 48
- 18
- 27
- 24
- 33
- 4
- 36
- 88
- 65
- 24
- 45
- 18
- 48
- 35
- 175
- 20
- 50
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