Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 456 · 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 6 and 24 (that is, 6 : 24 = 24 : ?).
2. 2.Divide ₹140 between Ananya and Diya in the ratio 4 : 1. How much does Ananya get (in ₹)?
3. 3.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
4. 4.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
5. 5.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
6. 6.The ratio of boys to girls in a class is 1 : 3. There are 5 boys. How many girls are there?
7. 7.Divide ₹396 between Arjun and Farhan in the ratio 5 : 4. How much does Farhan get (in ₹)?
8. 8.5 : 15 = 40 : ?
9. 9.The ratio of boys to girls in a class is 3 : 4. There are 6 boys. How many girls are there?
10. 10.Divide ₹598 between Aditya and Priya in the ratio 4 : 9. How much does Aditya get (in ₹)?
11. 11.Divide ₹528 between Arjun and Aditya in the ratio 2 : 9. How much does Aditya get (in ₹)?
12. 12.Divide ₹324 between Nisha and Zoya in the ratio 7 : 2. How much does Nisha get (in ₹)?
13. 13.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
14. 14.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
15. 15.9 : 11 = 36 : ?
16. 16.The ratio of boys to girls in a class is 9 : 8. There are 36 boys. How many girls are there?
17. 17.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
18. 18.2 : 4 = 18 : ?
19. 19.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
20. 20.The ratio of boys to girls in a class is 7 : 5. There are 49 boys. How many girls are there?
21. 21.Divide ₹450 between Kabir and Tara in the ratio 7 : 2. How much does Tara get (in ₹)?
22. 22.The ratio of boys to girls in a class is 1 : 2. There are 3 boys. How many girls are there?
23. 23.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
24. 24.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
25. 25.The ratio of boys to girls in a class is 1 : 8. There are 4 boys. How many girls are there?
26. 26.Divide ₹55 between Tara and Dev in the ratio 9 : 2. How much does Tara get (in ₹)?
27. 27.The ratio of boys to girls in a class is 5 : 1. There are 25 boys. How many girls are there?
28. 28.Divide ₹200 between Diya and Rohan in the ratio 1 : 4. How much does Rohan get (in ₹)?
29. 29.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
30. 30.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
31. 31.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
32. 32.The ratio of boys to girls in a class is 9 : 5. There are 63 boys. How many girls are there?
33. 33.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
34. 34.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
35. 35.5 : 8 = 40 : ?
36. 36.2 : 11 = 12 : ?
37. 37.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
38. 38.Divide ₹33 between Diya and Farhan in the ratio 1 : 2. How much does Diya get (in ₹)?
39. 39.10 : 4 = 50 : ?
40. 40.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?

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