Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 727 · 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.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
2. 2.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
3. 3.Divide ₹221 between Nisha and Rohan in the ratio 4 : 9. How much does Rohan get (in ₹)?
4. 4.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
5. 5.Divide ₹440 between Aarav and Rohan in the ratio 3 : 8. How much does Aarav get (in ₹)?
6. 6.Divide ₹132 between Tara and Sneha in the ratio 7 : 4. How much does Sneha get (in ₹)?
7. 7.Divide ₹630 between Sneha and Farhan in the ratio 9 : 5. How much does Sneha get (in ₹)?
8. 8.Divide ₹117 between Kabir and Farhan in the ratio 1 : 8. How much does Farhan get (in ₹)?
9. 9.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
10. 10.2 : 10 = 6 : ?
11. 11.Divide ₹208 between Rahul and Pooja in the ratio 9 : 4. How much does Pooja get (in ₹)?
12. 12.5 : 9 = 30 : ?
13. 13.5 : 4 = 35 : ?
14. 14.The ratio of boys to girls in a class is 8 : 1. There are 24 boys. How many girls are there?
15. 15.12 : 5 = 24 : ?
16. 16.The ratio of boys to girls in a class is 8 : 7. There are 24 boys. How many girls are there?
17. 17.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
18. 18.Divide ₹180 between Zoya and Sneha in the ratio 1 : 4. How much does Sneha get (in ₹)?
19. 19.The ratio of boys to girls in a class is 6 : 7. There are 60 boys. How many girls are there?
20. 20.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
21. 21.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
22. 22.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
23. 23.5 : 13 = 40 : ?
24. 24.The ratio of boys to girls in a class is 6 : 5. There are 12 boys. How many girls are there?
25. 25.Divide ₹160 between Meera and Arjun in the ratio 7 : 9. How much does Arjun get (in ₹)?
26. 26.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
27. 27.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
28. 28.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
29. 29.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
30. 30.The ratio of boys to girls in a class is 6 : 1. There are 30 boys. How many girls are there?
31. 31.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
32. 32.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
33. 33.5 : 13 = 20 : ?
34. 34.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
35. 35.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
36. 36.The ratio of boys to girls in a class is 6 : 5. There are 18 boys. How many girls are there?
37. 37.The ratio of boys to girls in a class is 2 : 5. There are 14 boys. How many girls are there?
38. 38.Divide ₹297 between Sneha and Isha in the ratio 8 : 1. How much does Isha get (in ₹)?
39. 39.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
40. 40.Divide ₹42 between Meera and Aarav in the ratio 2 : 5. How much does Aarav get (in ₹)?

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