Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 695 · 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 8 : 9. There are 64 boys. How many girls are there?
2. 2.8 : 2 = 56 : ?
3. 3.12 : 5 = 24 : ?
4. 4.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
5. 5.Divide ₹99 between Manav and Karan in the ratio 1 : 2. How much does Manav get (in ₹)?
6. 6.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
7. 7.The ratio of boys to girls in a class is 6 : 1. There are 54 boys. How many girls are there?
8. 8.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
9. 9.Divide ₹126 between Kabir and Saanvi in the ratio 6 : 1. How much does Kabir get (in ₹)?
10. 10.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
11. 11.The ratio of boys to girls in a class is 5 : 6. There are 30 boys. How many girls are there?
12. 12.Divide ₹855 between Diya and Manav in the ratio 7 : 8. How much does Diya get (in ₹)?
13. 13.9 : 2 = 45 : ?
14. 14.4 : 3 = 8 : ?
15. 15.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
16. 16.Divide ₹55 between Aarav and Zoya in the ratio 4 : 1. How much does Zoya get (in ₹)?
17. 17.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
18. 18.Divide ₹221 between Kabir and Tara in the ratio 7 : 6. How much does Kabir get (in ₹)?
19. 19.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
20. 20.The ratio of boys to girls in a class is 1 : 5. There are 8 boys. How many girls are there?
21. 21.Divide ₹64 between Priya and Tara in the ratio 3 : 5. How much does Priya get (in ₹)?
22. 22.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
23. 23.Divide ₹385 between Arjun and Dev in the ratio 2 : 9. How much does Dev get (in ₹)?
24. 24.3 : 6 = 18 : ?
25. 25.3 : 14 = 9 : ?
26. 26.Divide ₹108 between Farhan and Ananya in the ratio 1 : 2. How much does Ananya get (in ₹)?
27. 27.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
28. 28.Divide ₹54 between Rohan and Manav in the ratio 1 : 2. How much does Rohan get (in ₹)?
29. 29.The ratio of boys to girls in a class is 9 : 7. There are 36 boys. How many girls are there?
30. 30.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
31. 31.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
32. 32.8 : 5 = 64 : ?
33. 33.Divide ₹147 between Rohan and Nisha in the ratio 4 : 3. How much does Rohan get (in ₹)?
34. 34.Divide ₹517 between Kabir and Ishaan in the ratio 2 : 9. How much does Ishaan get (in ₹)?
35. 35.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
36. 36.Divide ₹434 between Kabir and Meera in the ratio 5 : 9. How much does Meera get (in ₹)?
37. 37.Divide ₹440 between Manav and Pooja in the ratio 1 : 9. How much does Pooja get (in ₹)?
38. 38.Divide ₹928 between Meera and Karan in the ratio 7 : 9. How much does Meera get (in ₹)?
39. 39.The ratio of boys to girls in a class is 4 : 7. There are 16 boys. How many girls are there?
40. 40.Divide ₹260 between Rohan and Kabir in the ratio 4 : 1. How much does Kabir get (in ₹)?

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