Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 390 · 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 ₹318 between Isha and Zoya in the ratio 5 : 1. How much does Zoya get (in ₹)?
2. 2.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
3. 3.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
4. 4.8 : 10 = 24 : ?
5. 5.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
6. 6.Divide ₹456 between Diya and Tara in the ratio 7 : 1. How much does Diya get (in ₹)?
7. 7.The ratio of boys to girls in a class is 8 : 9. There are 64 boys. How many girls are there?
8. 8.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
9. 9.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
10. 10.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
11. 11.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
12. 12.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
13. 13.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
14. 14.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
15. 15.Divide ₹189 between Aarav and Nisha in the ratio 6 : 1. How much does Nisha get (in ₹)?
16. 16.The ratio of boys to girls in a class is 7 : 3. There are 70 boys. How many girls are there?
17. 17.Divide ₹504 between Ishaan and Isha in the ratio 1 : 8. How much does Isha get (in ₹)?
18. 18.9 : 2 = 54 : ?
19. 19.9 : 7 = 63 : ?
20. 20.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
21. 21.The ratio of boys to girls in a class is 9 : 4. There are 45 boys. How many girls are there?
22. 22.Divide ₹560 between Ananya and Diya in the ratio 1 : 9. How much does Ananya get (in ₹)?
23. 23.Divide ₹216 between Kabir and Priya in the ratio 3 : 1. How much does Kabir get (in ₹)?
24. 24.Divide ₹56 between Ishaan and Arjun in the ratio 7 : 1. How much does Ishaan get (in ₹)?
25. 25.Divide ₹120 between Isha and Dev in the ratio 3 : 2. How much does Isha get (in ₹)?
26. 26.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
27. 27.Divide ₹235 between Priya and Saanvi in the ratio 2 : 3. How much does Saanvi get (in ₹)?
28. 28.Divide ₹735 between Dev and Saanvi in the ratio 8 : 7. How much does Saanvi get (in ₹)?
29. 29.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
30. 30.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
31. 31.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
32. 32.Divide ₹198 between Manav and Aditya in the ratio 4 : 7. How much does Aditya get (in ₹)?
33. 33.Divide ₹165 between Tara and Farhan in the ratio 6 : 5. How much does Farhan get (in ₹)?
34. 34.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
35. 35.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
36. 36.Divide ₹480 between Priya and Karan in the ratio 9 : 7. How much does Priya get (in ₹)?
37. 37.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
38. 38.6 : 11 = 12 : ?
39. 39.Divide ₹160 between Diya and Aarav in the ratio 7 : 1. How much does Aarav get (in ₹)?
40. 40.5 : 3 = 30 : ?

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