Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 645 · 40 questions

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).

1. 1.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
2. 2.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
3. 3.10 : 5 = 50 : ?
4. 4.The ratio of boys to girls in a class is 9 : 4. There are 63 boys. How many girls are there?
5. 5.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
6. 6.3 : 7 = 24 : ?
7. 7.Divide ₹322 between Karan and Vivaan in the ratio 5 : 9. How much does Karan get (in ₹)?
8. 8.Divide ₹456 between Sneha and Saanvi in the ratio 7 : 1. How much does Sneha get (in ₹)?
9. 9.Divide ₹198 between Aarav and Kavya in the ratio 7 : 2. How much does Aarav get (in ₹)?
10. 10.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
11. 11.8 : 14 = 72 : ?
12. 12.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
13. 13.3 : 8 = 15 : ?
14. 14.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
15. 15.The ratio of boys to girls in a class is 9 : 1. There are 27 boys. How many girls are there?
16. 16.Divide ₹266 between Rahul and Meera in the ratio 1 : 6. How much does Meera get (in ₹)?
17. 17.The ratio of boys to girls in a class is 9 : 7. There are 54 boys. How many girls are there?
18. 18.The ratio of boys to girls in a class is 6 : 1. There are 54 boys. How many girls are there?
19. 19.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
20. 20.The ratio of boys to girls in a class is 8 : 3. There are 48 boys. How many girls are there?
21. 21.The ratio of boys to girls in a class is 5 : 1. There are 50 boys. How many girls are there?
22. 22.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
23. 23.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
24. 24.The ratio of boys to girls in a class is 8 : 7. There are 40 boys. How many girls are there?
25. 25.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
26. 26.Divide ₹176 between Aarav and Priya in the ratio 1 : 7. How much does Priya get (in ₹)?
27. 27.Divide ₹539 between Ishaan and Dev in the ratio 7 : 4. How much does Ishaan get (in ₹)?
28. 28.Divide ₹378 between Nisha and Manav in the ratio 2 : 7. How much does Manav get (in ₹)?
29. 29.Divide ₹49 between Nisha and Rohan in the ratio 1 : 6. How much does Rohan get (in ₹)?
30. 30.6 : 14 = 18 : ?
31. 31.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
32. 32.The ratio of boys to girls in a class is 9 : 5. There are 63 boys. How many girls are there?
33. 33.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
34. 34.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
35. 35.The ratio of boys to girls in a class is 8 : 3. There are 40 boys. How many girls are there?
36. 36.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
37. 37.Divide ₹531 between Saanvi and Meera in the ratio 1 : 8. How much does Meera get (in ₹)?
38. 38.7 : 6 = 14 : ?
39. 39.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
40. 40.Divide ₹108 between Meera and Ananya in the ratio 4 : 5. How much does Ananya get (in ₹)?

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