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 ₹484 between Karan and Manav in the ratio 9 : 2. How much does Manav get (in ₹)?
- 2.Divide ₹470 between Nisha and Vivaan in the ratio 9 : 1. How much does Nisha get (in ₹)?
- 3.3 : 7 = 9 : ?
- 4.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
- 5.The ratio of boys to girls in a class is 7 : 4. There are 21 boys. How many girls are there?
- 6.Divide ₹210 between Vivaan and Aarav in the ratio 6 : 1. How much does Vivaan get (in ₹)?
- 7.Divide ₹315 between Saanvi and Karan in the ratio 7 : 8. How much does Saanvi get (in ₹)?
- 8.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
- 9.Divide ₹110 between Diya and Manav in the ratio 9 : 2. How much does Diya get (in ₹)?
- 10.Divide ₹462 between Diya and Vivaan in the ratio 6 : 5. How much does Vivaan get (in ₹)?
- 11.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
- 12.4 : 15 = 8 : ?
- 13.8 : 12 = 24 : ?
- 14.The ratio of boys to girls in a class is 8 : 5. There are 80 boys. How many girls are there?
- 15.Divide ₹590 between Farhan and Saanvi in the ratio 7 : 3. How much does Saanvi get (in ₹)?
- 16.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
- 17.Divide ₹672 between Farhan and Rohan in the ratio 5 : 9. How much does Farhan get (in ₹)?
- 18.The ratio of boys to girls in a class is 7 : 6. There are 56 boys. How many girls are there?
- 19.Divide ₹550 between Saanvi and Dev in the ratio 7 : 3. How much does Saanvi get (in ₹)?
- 20.The ratio of boys to girls in a class is 2 : 5. There are 18 boys. How many girls are there?
- 21.Divide ₹464 between Saanvi and Farhan in the ratio 3 : 5. How much does Saanvi get (in ₹)?
- 22.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
- 23.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?
- 24.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
- 25.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
- 26.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
- 27.4 : 15 = 16 : ?
- 28.The ratio of boys to girls in a class is 8 : 7. There are 80 boys. How many girls are there?
- 29.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
- 30.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
- 31.Divide ₹220 between Farhan and Aditya in the ratio 5 : 6. How much does Farhan get (in ₹)?
- 32.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
- 33.The ratio of boys to girls in a class is 5 : 3. There are 10 boys. How many girls are there?
- 34.The ratio of boys to girls in a class is 3 : 8. There are 12 boys. How many girls are there?
- 35.Divide ₹546 between Sneha and Arjun in the ratio 9 : 5. How much does Arjun get (in ₹)?
- 36.10 : 5 = 30 : ?
- 37.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
- 38.The ratio of boys to girls in a class is 8 : 1. There are 80 boys. How many girls are there?
- 39.Divide ₹333 between Meera and Nisha in the ratio 5 : 4. How much does Nisha get (in ₹)?
- 40.Divide ₹196 between Tara and Rohan in the ratio 5 : 2. How much does Rohan get (in ₹)?
Answer key
- 88
- 423
- 21
- 45
- 12
- 180
- 147
- 18
- 90
- 210
- 12
- 30
- 36
- 50
- 177
- 50
- 240
- 48
- 385
- 45
- 174
- 54
- 32
- 16
- 36
- 100
- 60
- 70
- 72
- 28
- 100
- 14
- 6
- 32
- 195
- 15
- 8
- 10
- 148
- 56
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