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).
NameDateTime takenScore ___ / 40
- 1.The ratio of boys to girls in a class is 4 : 7. There are 40 boys. How many girls are there?
- 2.7 : 8 = 21 : ?
- 3.7 : 12 = 63 : ?
- 4.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
- 5.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
- 6.Divide ₹30 between Saanvi and Karan in the ratio 2 : 3. How much does Saanvi get (in ₹)?
- 7.10 : 6 = 70 : ?
- 8.Divide ₹396 between Aarav and Dev in the ratio 7 : 4. How much does Dev get (in ₹)?
- 9.Divide ₹407 between Manav and Rahul in the ratio 9 : 2. How much does Manav get (in ₹)?
- 10.Divide ₹272 between Aditya and Farhan in the ratio 8 : 9. How much does Farhan get (in ₹)?
- 11.5 : 4 = 30 : ?
- 12.Divide ₹350 between Diya and Karan in the ratio 5 : 9. How much does Diya get (in ₹)?
- 13.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?
- 14.8 : 14 = 40 : ?
- 15.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
- 16.The ratio of boys to girls in a class is 9 : 4. There are 90 boys. How many girls are there?
- 17.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
- 18.The ratio of boys to girls in a class is 4 : 3. There are 8 boys. How many girls are there?
- 19.3 : 11 = 15 : ?
- 20.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 21.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
- 22.7 : 15 = 35 : ?
- 23.Divide ₹117 between Meera and Arjun in the ratio 7 : 6. How much does Arjun get (in ₹)?
- 24.Divide ₹507 between Isha and Farhan in the ratio 5 : 8. How much does Farhan get (in ₹)?
- 25.10 : 8 = 40 : ?
- 26.2 : 9 = 12 : ?
- 27.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
- 28.Divide ₹315 between Kabir and Aarav in the ratio 8 : 7. How much does Aarav get (in ₹)?
- 29.The ratio of boys to girls in a class is 9 : 8. There are 36 boys. How many girls are there?
- 30.The ratio of boys to girls in a class is 1 : 5. There are 7 boys. How many girls are there?
- 31.12 : 6 = 48 : ?
- 32.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
- 33.Divide ₹208 between Zoya and Vivaan in the ratio 6 : 7. How much does Zoya get (in ₹)?
- 34.11 : 12 = 66 : ?
- 35.7 : 3 = 63 : ?
- 36.3 : 15 = 18 : ?
- 37.Divide ₹297 between Ishaan and Farhan in the ratio 8 : 3. How much does Farhan get (in ₹)?
- 38.Divide ₹350 between Ishaan and Manav in the ratio 9 : 1. How much does Manav get (in ₹)?
- 39.Divide ₹495 between Rahul and Rohan in the ratio 4 : 5. How much does Rahul get (in ₹)?
- 40.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
Answer key
- 70
- 24
- 108
- 32
- 15
- 12
- 42
- 144
- 333
- 144
- 24
- 125
- 8
- 70
- 30
- 40
- 18
- 6
- 55
- 12
- 20
- 75
- 54
- 312
- 32
- 54
- 28
- 147
- 32
- 35
- 24
- 48
- 96
- 72
- 27
- 90
- 81
- 35
- 220
- 7
Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude