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 ₹315 between Rohan and Zoya in the ratio 2 : 5. How much does Rohan get (in ₹)?
- 2.The ratio of boys to girls in a class is 4 : 9. There are 28 boys. How many girls are there?
- 3.Divide ₹196 between Ananya and Arjun in the ratio 5 : 2. How much does Arjun get (in ₹)?
- 4.Divide ₹357 between Diya and Manav in the ratio 8 : 9. How much does Manav get (in ₹)?
- 5.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 6.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 7.The ratio of boys to girls in a class is 6 : 7. There are 36 boys. How many girls are there?
- 8.The ratio of boys to girls in a class is 4 : 7. There are 36 boys. How many girls are there?
- 9.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
- 10.Divide ₹689 between Kabir and Aarav in the ratio 6 : 7. How much does Aarav get (in ₹)?
- 11.5 : 12 = 40 : ?
- 12.9 : 5 = 63 : ?
- 13.Divide ₹288 between Vivaan and Rohan in the ratio 5 : 4. How much does Rohan get (in ₹)?
- 14.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
- 15.Divide ₹102 between Farhan and Vivaan in the ratio 1 : 5. How much does Farhan get (in ₹)?
- 16.10 : 11 = 90 : ?
- 17.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
- 18.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
- 19.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
- 20.Divide ₹88 between Ananya and Manav in the ratio 1 : 7. How much does Ananya get (in ₹)?
- 21.3 : 12 = 24 : ?
- 22.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
- 23.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
- 24.9 : 6 = 63 : ?
- 25.6 : 9 = 54 : ?
- 26.Divide ₹560 between Aditya and Rohan in the ratio 5 : 9. How much does Aditya get (in ₹)?
- 27.Divide ₹150 between Kabir and Vivaan in the ratio 2 : 1. How much does Kabir get (in ₹)?
- 28.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
- 29.Divide ₹128 between Isha and Arjun in the ratio 1 : 3. How much does Arjun get (in ₹)?
- 30.3 : 7 = 27 : ?
- 31.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
- 32.6 : 8 = 12 : ?
- 33.10 : 5 = 40 : ?
- 34.Divide ₹270 between Aarav and Isha in the ratio 2 : 3. How much does Aarav get (in ₹)?
- 35.Divide ₹225 between Diya and Ishaan in the ratio 3 : 2. How much does Diya get (in ₹)?
- 36.5 : 11 = 45 : ?
- 37.Divide ₹637 between Karan and Tara in the ratio 8 : 5. How much does Karan get (in ₹)?
- 38.3 : 12 = 15 : ?
- 39.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?
- 40.Divide ₹578 between Sneha and Saanvi in the ratio 8 : 9. How much does Saanvi get (in ₹)?
Answer key
- 90
- 63
- 56
- 189
- 16
- 8
- 42
- 63
- 16
- 371
- 96
- 35
- 128
- 64
- 17
- 99
- 96
- 12
- 225
- 11
- 96
- 45
- 75
- 42
- 81
- 200
- 100
- 20
- 96
- 63
- 54
- 16
- 20
- 108
- 135
- 99
- 392
- 60
- 42
- 306
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