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
- 1.6 : 4 = 18 : ?
- 2.10 : 15 = 70 : ?
- 3.5 : 9 = 15 : ?
- 4.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
- 5.4 : 15 = 32 : ?
- 6.Divide ₹204 between Priya and Kavya in the ratio 9 : 8. How much does Priya get (in ₹)?
- 7.Divide ₹72 between Ananya and Tara in the ratio 1 : 3. How much does Tara get (in ₹)?
- 8.Divide ₹132 between Nisha and Zoya in the ratio 1 : 2. How much does Nisha get (in ₹)?
- 9.Divide ₹119 between Dev and Rohan in the ratio 8 : 9. How much does Dev get (in ₹)?
- 10.Divide ₹111 between Meera and Saanvi in the ratio 1 : 2. How much does Saanvi get (in ₹)?
- 11.Divide ₹440 between Zoya and Ishaan in the ratio 7 : 3. How much does Zoya get (in ₹)?
- 12.The ratio of boys to girls in a class is 9 : 7. There are 90 boys. How many girls are there?
- 13.12 : 2 = 36 : ?
- 14.Divide ₹91 between Rohan and Kabir in the ratio 6 : 1. How much does Rohan get (in ₹)?
- 15.The ratio of boys to girls in a class is 8 : 9. There are 48 boys. How many girls are there?
- 16.2 : 6 = 4 : ?
- 17.7 : 4 = 28 : ?
- 18.3 : 8 = 18 : ?
- 19.The ratio of boys to girls in a class is 3 : 8. There are 27 boys. How many girls are there?
- 20.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
- 21.The ratio of boys to girls in a class is 3 : 8. There are 18 boys. How many girls are there?
- 22.Divide ₹490 between Priya and Ishaan in the ratio 3 : 7. How much does Priya get (in ₹)?
- 23.Divide ₹256 between Rohan and Tara in the ratio 7 : 9. How much does Rohan get (in ₹)?
- 24.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
- 25.2 : 15 = 8 : ?
- 26.Divide ₹75 between Tara and Diya in the ratio 4 : 1. How much does Tara get (in ₹)?
- 27.Divide ₹325 between Priya and Saanvi in the ratio 7 : 6. How much does Priya get (in ₹)?
- 28.4 : 9 = 20 : ?
- 29.7 : 8 = 49 : ?
- 30.Divide ₹143 between Meera and Saanvi in the ratio 6 : 5. How much does Saanvi get (in ₹)?
- 31.7 : 9 = 28 : ?
- 32.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
- 33.8 : 15 = 40 : ?
- 34.Divide ₹150 between Sneha and Dev in the ratio 3 : 2. How much does Sneha get (in ₹)?
- 35.Divide ₹200 between Arjun and Farhan in the ratio 1 : 7. How much does Farhan get (in ₹)?
- 36.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
- 37.Divide ₹456 between Sneha and Karan in the ratio 7 : 5. How much does Sneha get (in ₹)?
- 38.4 : 2 = 20 : ?
- 39.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
- 40.Divide ₹518 between Nisha and Karan in the ratio 9 : 5. How much does Karan get (in ₹)?
Answer key
- 12
- 105
- 27
- 80
- 120
- 108
- 54
- 44
- 56
- 74
- 308
- 70
- 6
- 78
- 54
- 12
- 16
- 48
- 72
- 20
- 48
- 147
- 112
- 35
- 60
- 60
- 175
- 45
- 56
- 65
- 36
- 8
- 75
- 90
- 175
- 32
- 266
- 10
- 14
- 185
Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude