Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 97 · 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. 1.6 : 3 = 54 : ?
2. 2.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
3. 3.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
4. 4.11 : 13 = 99 : ?
5. 5.The ratio of boys to girls in a class is 7 : 5. There are 49 boys. How many girls are there?
6. 6.Divide ₹676 between Ananya and Manav in the ratio 4 : 9. How much does Ananya get (in ₹)?
7. 7.The ratio of boys to girls in a class is 5 : 2. There are 20 boys. How many girls are there?
8. 8.Divide ₹399 between Ishaan and Ananya in the ratio 3 : 4. How much does Ishaan get (in ₹)?
9. 9.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
10. 10.The ratio of boys to girls in a class is 5 : 4. There are 30 boys. How many girls are there?
11. 11.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
12. 12.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
13. 13.7 : 4 = 42 : ?
14. 14.12 : 9 = 96 : ?
15. 15.Divide ₹98 between Nisha and Pooja in the ratio 6 : 1. How much does Pooja get (in ₹)?
16. 16.The ratio of boys to girls in a class is 1 : 2. There are 7 boys. How many girls are there?
17. 17.The ratio of boys to girls in a class is 9 : 5. There are 90 boys. How many girls are there?
18. 18.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
19. 19.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
20. 20.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
21. 21.The ratio of boys to girls in a class is 1 : 8. There are 3 boys. How many girls are there?
22. 22.Divide ₹420 between Zoya and Sneha in the ratio 1 : 6. How much does Sneha get (in ₹)?
23. 23.The ratio of boys to girls in a class is 7 : 5. There are 21 boys. How many girls are there?
24. 24.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
25. 25.The ratio of boys to girls in a class is 4 : 7. There are 28 boys. How many girls are there?
26. 26.Divide ₹56 between Farhan and Kabir in the ratio 4 : 3. How much does Kabir get (in ₹)?
27. 27.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
28. 28.Divide ₹176 between Ananya and Karan in the ratio 1 : 7. How much does Karan get (in ₹)?
29. 29.7 : 14 = 63 : ?
30. 30.Divide ₹585 between Aarav and Aditya in the ratio 4 : 9. How much does Aarav get (in ₹)?
31. 31.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
32. 32.The ratio of boys to girls in a class is 3 : 8. There are 27 boys. How many girls are there?
33. 33.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
34. 34.Divide ₹396 between Rahul and Ananya in the ratio 7 : 4. How much does Rahul get (in ₹)?
35. 35.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
36. 36.2 : 12 = 8 : ?
37. 37.The ratio of boys to girls in a class is 5 : 1. There are 25 boys. How many girls are there?
38. 38.11 : 3 = 88 : ?
39. 39.The ratio of boys to girls in a class is 5 : 2. There are 50 boys. How many girls are there?
40. 40.Divide ₹65 between Nisha and Manav in the ratio 6 : 7. How much does Manav get (in ₹)?

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