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 1 : 5. There are 2 boys. How many girls are there?
- 2.The ratio of boys to girls in a class is 6 : 5. There are 24 boys. How many girls are there?
- 3.Divide ₹364 between Ishaan and Arjun in the ratio 6 : 1. How much does Arjun get (in ₹)?
- 4.Divide ₹260 between Meera and Zoya in the ratio 8 : 5. How much does Zoya get (in ₹)?
- 5.Divide ₹572 between Sneha and Farhan in the ratio 4 : 7. How much does Sneha get (in ₹)?
- 6.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
- 7.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
- 8.Divide ₹430 between Aditya and Diya in the ratio 3 : 7. How much does Aditya get (in ₹)?
- 9.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
- 10.Divide ₹418 between Kabir and Aditya in the ratio 9 : 2. How much does Kabir get (in ₹)?
- 11.The ratio of boys to girls in a class is 9 : 2. There are 81 boys. How many girls are there?
- 12.2 : 4 = 16 : ?
- 13.Divide ₹98 between Rohan and Ananya in the ratio 4 : 3. How much does Ananya get (in ₹)?
- 14.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
- 15.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
- 16.Divide ₹464 between Nisha and Meera in the ratio 7 : 1. How much does Nisha get (in ₹)?
- 17.10 : 8 = 40 : ?
- 18.12 : 6 = 96 : ?
- 19.Divide ₹15 between Dev and Nisha in the ratio 2 : 1. How much does Dev get (in ₹)?
- 20.Divide ₹105 between Aditya and Ishaan in the ratio 7 : 8. How much does Aditya get (in ₹)?
- 21.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
- 22.The ratio of boys to girls in a class is 6 : 7. There are 60 boys. How many girls are there?
- 23.Divide ₹460 between Arjun and Rahul in the ratio 9 : 1. How much does Arjun get (in ₹)?
- 24.Divide ₹230 between Aditya and Farhan in the ratio 1 : 9. How much does Farhan get (in ₹)?
- 25.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
- 26.Divide ₹637 between Pooja and Ananya in the ratio 4 : 9. How much does Ananya get (in ₹)?
- 27.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
- 28.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
- 29.3 : 14 = 9 : ?
- 30.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
- 31.8 : 3 = 24 : ?
- 32.The ratio of boys to girls in a class is 7 : 3. There are 35 boys. How many girls are there?
- 33.Divide ₹360 between Ananya and Priya in the ratio 7 : 2. How much does Priya get (in ₹)?
- 34.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
- 35.8 : 3 = 48 : ?
- 36.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
- 37.Divide ₹450 between Diya and Rohan in the ratio 7 : 2. How much does Rohan get (in ₹)?
- 38.The ratio of boys to girls in a class is 7 : 1. There are 35 boys. How many girls are there?
- 39.5 : 14 = 30 : ?
- 40.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
Answer key
- 10
- 20
- 52
- 100
- 208
- 48
- 32
- 129
- 9
- 342
- 18
- 32
- 42
- 12
- 64
- 406
- 32
- 48
- 10
- 49
- 20
- 70
- 414
- 207
- 75
- 441
- 45
- 21
- 42
- 81
- 9
- 15
- 80
- 100
- 18
- 4
- 100
- 5
- 84
- 4
Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude