Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 649 · 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 6 and 30 (that is, 6 : 30 = 30 : ?).
2. 2.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
3. 3.The ratio of boys to girls in a class is 1 : 9. There are 4 boys. How many girls are there?
4. 4.The ratio of boys to girls in a class is 1 : 9. There are 6 boys. How many girls are there?
5. 5.The ratio of boys to girls in a class is 9 : 7. There are 27 boys. How many girls are there?
6. 6.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
7. 7.The ratio of boys to girls in a class is 6 : 5. There are 54 boys. How many girls are there?
8. 8.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
9. 9.5 : 15 = 20 : ?
10. 10.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
11. 11.Divide ₹440 between Tara and Farhan in the ratio 6 : 5. How much does Tara get (in ₹)?
12. 12.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
13. 13.Divide ₹390 between Farhan and Diya in the ratio 4 : 9. How much does Diya get (in ₹)?
14. 14.6 : 10 = 54 : ?
15. 15.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
16. 16.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
17. 17.Divide ₹308 between Ishaan and Zoya in the ratio 9 : 5. How much does Ishaan get (in ₹)?
18. 18.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
19. 19.Divide ₹486 between Diya and Kabir in the ratio 2 : 7. How much does Diya get (in ₹)?
20. 20.5 : 3 = 35 : ?
21. 21.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
22. 22.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
23. 23.Divide ₹88 between Saanvi and Rahul in the ratio 3 : 8. How much does Saanvi get (in ₹)?
24. 24.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
25. 25.5 : 2 = 15 : ?
26. 26.10 : 11 = 50 : ?
27. 27.Divide ₹55 between Priya and Dev in the ratio 5 : 6. How much does Priya get (in ₹)?
28. 28.The ratio of boys to girls in a class is 3 : 7. There are 12 boys. How many girls are there?
29. 29.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
30. 30.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
31. 31.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
32. 32.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
33. 33.Divide ₹572 between Karan and Aarav in the ratio 6 : 7. How much does Karan get (in ₹)?
34. 34.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?
35. 35.Divide ₹364 between Dev and Isha in the ratio 5 : 9. How much does Dev get (in ₹)?
36. 36.The ratio of boys to girls in a class is 9 : 2. There are 27 boys. How many girls are there?
37. 37.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
38. 38.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
39. 39.7 : 3 = 14 : ?
40. 40.Divide ₹63 between Diya and Rohan in the ratio 2 : 5. How much does Rohan get (in ₹)?

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude