Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 136 · 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 7 and 28 (that is, 7 : 28 = 28 : ?).
2. 2.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
3. 3.Divide ₹261 between Karan and Ananya in the ratio 7 : 2. How much does Ananya get (in ₹)?
4. 4.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
5. 5.9 : 15 = 27 : ?
6. 6.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
7. 7.Divide ₹236 between Arjun and Sneha in the ratio 3 : 1. How much does Sneha get (in ₹)?
8. 8.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
9. 9.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
10. 10.Divide ₹135 between Dev and Pooja in the ratio 4 : 1. How much does Dev get (in ₹)?
11. 11.Divide ₹66 between Manav and Diya in the ratio 2 : 1. How much does Manav get (in ₹)?
12. 12.Divide ₹840 between Aarav and Meera in the ratio 9 : 5. How much does Meera get (in ₹)?
13. 13.Divide ₹462 between Dev and Zoya in the ratio 5 : 6. How much does Dev get (in ₹)?
14. 14.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
15. 15.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
16. 16.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
17. 17.Divide ₹627 between Ishaan and Meera in the ratio 7 : 4. How much does Meera get (in ₹)?
18. 18.6 : 4 = 30 : ?
19. 19.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
20. 20.Divide ₹550 between Rohan and Tara in the ratio 9 : 1. How much does Rohan get (in ₹)?
21. 21.Divide ₹189 between Saanvi and Kabir in the ratio 5 : 4. How much does Kabir get (in ₹)?
22. 22.The ratio of boys to girls in a class is 6 : 1. There are 12 boys. How many girls are there?
23. 23.2 : 10 = 14 : ?
24. 24.Divide ₹624 between Diya and Aarav in the ratio 5 : 8. How much does Diya get (in ₹)?
25. 25.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
26. 26.The ratio of boys to girls in a class is 9 : 2. There are 45 boys. How many girls are there?
27. 27.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?
28. 28.6 : 2 = 36 : ?
29. 29.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
30. 30.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
31. 31.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
32. 32.The ratio of boys to girls in a class is 9 : 5. There are 72 boys. How many girls are there?
33. 33.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
34. 34.2 : 7 = 18 : ?
35. 35.2 : 10 = 18 : ?
36. 36.The ratio of boys to girls in a class is 6 : 1. There are 60 boys. How many girls are there?
37. 37.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
38. 38.Divide ₹153 between Zoya and Dev in the ratio 1 : 2. How much does Zoya get (in ₹)?
39. 39.The ratio of boys to girls in a class is 7 : 3. There are 63 boys. How many girls are there?
40. 40.2 : 11 = 4 : ?

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