Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 844 · 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 1 : 3. There are 3 boys. How many girls are there?
2. 2.Divide ₹192 between Saanvi and Arjun in the ratio 1 : 7. How much does Saanvi get (in ₹)?
3. 3.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
4. 4.The ratio of boys to girls in a class is 1 : 6. There are 6 boys. How many girls are there?
5. 5.Divide ₹204 between Priya and Arjun in the ratio 7 : 5. How much does Priya get (in ₹)?
6. 6.Divide ₹273 between Rahul and Aarav in the ratio 9 : 4. How much does Aarav get (in ₹)?
7. 7.3 : 9 = 18 : ?
8. 8.4 : 13 = 16 : ?
9. 9.The ratio of boys to girls in a class is 6 : 5. There are 54 boys. How many girls are there?
10. 10.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
11. 11.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
12. 12.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
13. 13.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?
14. 14.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
15. 15.Divide ₹176 between Saanvi and Rohan in the ratio 4 : 7. How much does Rohan get (in ₹)?
16. 16.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
17. 17.The ratio of boys to girls in a class is 6 : 1. There are 12 boys. How many girls are there?
18. 18.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
19. 19.Divide ₹81 between Rohan and Dev in the ratio 1 : 8. How much does Dev get (in ₹)?
20. 20.Divide ₹234 between Diya and Ananya in the ratio 5 : 8. How much does Ananya get (in ₹)?
21. 21.The ratio of boys to girls in a class is 5 : 9. There are 40 boys. How many girls are there?
22. 22.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
23. 23.10 : 13 = 80 : ?
24. 24.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
25. 25.Divide ₹390 between Nisha and Zoya in the ratio 3 : 7. How much does Zoya get (in ₹)?
26. 26.Divide ₹812 between Ananya and Rahul in the ratio 5 : 9. How much does Ananya get (in ₹)?
27. 27.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
28. 28.Divide ₹245 between Kavya and Farhan in the ratio 2 : 5. How much does Farhan get (in ₹)?
29. 29.Divide ₹629 between Diya and Farhan in the ratio 9 : 8. How much does Farhan get (in ₹)?
30. 30.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
31. 31.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
32. 32.Divide ₹288 between Nisha and Ananya in the ratio 1 : 7. How much does Ananya get (in ₹)?
33. 33.Divide ₹310 between Tara and Meera in the ratio 9 : 1. How much does Meera get (in ₹)?
34. 34.7 : 8 = 63 : ?
35. 35.Divide ₹245 between Aditya and Zoya in the ratio 4 : 1. How much does Zoya get (in ₹)?
36. 36.The ratio of boys to girls in a class is 3 : 8. There are 18 boys. How many girls are there?
37. 37.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
38. 38.Divide ₹594 between Manav and Rohan in the ratio 9 : 2. How much does Manav get (in ₹)?
39. 39.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
40. 40.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?

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