Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 126 · 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 7 : 2. There are 21 boys. How many girls are there?
2. 2.Divide ₹144 between Rohan and Zoya in the ratio 1 : 7. How much does Zoya get (in ₹)?
3. 3.Divide ₹672 between Manav and Tara in the ratio 5 : 7. How much does Tara get (in ₹)?
4. 4.Divide ₹112 between Diya and Pooja in the ratio 3 : 1. How much does Pooja get (in ₹)?
5. 5.2 : 12 = 6 : ?
6. 6.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
7. 7.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
8. 8.Divide ₹405 between Karan and Meera in the ratio 2 : 7. How much does Karan get (in ₹)?
9. 9.9 : 11 = 72 : ?
10. 10.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
11. 11.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
12. 12.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
13. 13.Divide ₹396 between Aarav and Ishaan in the ratio 2 : 7. How much does Aarav get (in ₹)?
14. 14.Divide ₹540 between Ananya and Diya in the ratio 7 : 2. How much does Diya get (in ₹)?
15. 15.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
16. 16.12 : 15 = 48 : ?
17. 17.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
18. 18.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
19. 19.Divide ₹121 between Isha and Ishaan in the ratio 8 : 3. How much does Isha get (in ₹)?
20. 20.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
21. 21.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
22. 22.Divide ₹65 between Tara and Sneha in the ratio 6 : 7. How much does Tara get (in ₹)?
23. 23.Divide ₹208 between Priya and Dev in the ratio 3 : 1. How much does Dev get (in ₹)?
24. 24.Divide ₹517 between Arjun and Zoya in the ratio 3 : 8. How much does Zoya get (in ₹)?
25. 25.Divide ₹294 between Arjun and Saanvi in the ratio 9 : 5. How much does Arjun get (in ₹)?
26. 26.Divide ₹451 between Rohan and Saanvi in the ratio 8 : 3. How much does Rohan get (in ₹)?
27. 27.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
28. 28.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
29. 29.11 : 12 = 33 : ?
30. 30.4 : 2 = 8 : ?
31. 31.Divide ₹232 between Tara and Isha in the ratio 1 : 7. How much does Isha get (in ₹)?
32. 32.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
33. 33.The ratio of boys to girls in a class is 9 : 1. There are 63 boys. How many girls are there?
34. 34.Divide ₹152 between Dev and Karan in the ratio 1 : 7. How much does Karan get (in ₹)?
35. 35.Divide ₹336 between Ananya and Ishaan in the ratio 7 : 1. How much does Ishaan get (in ₹)?
36. 36.2 : 13 = 14 : ?
37. 37.The ratio of boys to girls in a class is 6 : 5. There are 48 boys. How many girls are there?
38. 38.5 : 13 = 20 : ?
39. 39.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
40. 40.Divide ₹72 between Farhan and Rohan in the ratio 2 : 1. How much does Farhan get (in ₹)?

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