Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 863 · 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.Divide ₹572 between Karan and Ishaan in the ratio 2 : 9. How much does Karan get (in ₹)?
2. 2.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
3. 3.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
4. 4.The ratio of boys to girls in a class is 8 : 5. There are 40 boys. How many girls are there?
5. 5.Divide ₹832 between Diya and Nisha in the ratio 7 : 9. How much does Nisha get (in ₹)?
6. 6.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
7. 7.The ratio of boys to girls in a class is 9 : 5. There are 27 boys. How many girls are there?
8. 8.Divide ₹70 between Aditya and Manav in the ratio 4 : 1. How much does Aditya get (in ₹)?
9. 9.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
10. 10.The ratio of boys to girls in a class is 8 : 3. There are 56 boys. How many girls are there?
11. 11.12 : 7 = 36 : ?
12. 12.The ratio of boys to girls in a class is 7 : 1. There are 42 boys. How many girls are there?
13. 13.4 : 7 = 8 : ?
14. 14.The ratio of boys to girls in a class is 1 : 2. There are 10 boys. How many girls are there?
15. 15.Divide ₹252 between Kabir and Farhan in the ratio 5 : 4. How much does Kabir get (in ₹)?
16. 16.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
17. 17.Divide ₹423 between Priya and Ananya in the ratio 1 : 8. How much does Ananya get (in ₹)?
18. 18.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
19. 19.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
20. 20.Divide ₹99 between Saanvi and Isha in the ratio 8 : 1. How much does Saanvi get (in ₹)?
21. 21.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
22. 22.Divide ₹224 between Kabir and Pooja in the ratio 3 : 4. How much does Kabir get (in ₹)?
23. 23.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
24. 24.5 : 14 = 40 : ?
25. 25.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
26. 26.The ratio of boys to girls in a class is 5 : 1. There are 15 boys. How many girls are there?
27. 27.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
28. 28.2 : 13 = 4 : ?
29. 29.10 : 2 = 30 : ?
30. 30.8 : 9 = 56 : ?
31. 31.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
32. 32.The ratio of boys to girls in a class is 7 : 8. There are 28 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.Divide ₹35 between Nisha and Rahul in the ratio 1 : 6. How much does Rahul get (in ₹)?
35. 35.6 : 12 = 30 : ?
36. 36.Divide ₹90 between Saanvi and Ananya in the ratio 5 : 4. How much does Saanvi get (in ₹)?
37. 37.Divide ₹986 between Karan and Dev in the ratio 8 : 9. How much does Karan get (in ₹)?
38. 38.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
39. 39.The ratio of boys to girls in a class is 5 : 4. There are 35 boys. How many girls are there?
40. 40.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).

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