Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 834 · 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 3 and 15 (that is, 3 : 15 = 15 : ?).
2. 2.Divide ₹459 between Zoya and Nisha in the ratio 5 : 4. How much does Zoya get (in ₹)?
3. 3.The ratio of boys to girls in a class is 5 : 2. There are 45 boys. How many girls are there?
4. 4.Divide ₹413 between Aarav and Saanvi in the ratio 3 : 4. How much does Aarav get (in ₹)?
5. 5.10 : 7 = 20 : ?
6. 6.The ratio of boys to girls in a class is 1 : 4. There are 9 boys. How many girls are there?
7. 7.Divide ₹224 between Aarav and Arjun in the ratio 4 : 3. How much does Aarav get (in ₹)?
8. 8.4 : 14 = 24 : ?
9. 9.Divide ₹376 between Rahul and Karan in the ratio 7 : 1. How much does Rahul get (in ₹)?
10. 10.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
11. 11.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
12. 12.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
13. 13.Divide ₹468 between Kabir and Tara in the ratio 5 : 4. How much does Kabir get (in ₹)?
14. 14.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
15. 15.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
16. 16.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
17. 17.The ratio of boys to girls in a class is 5 : 9. There are 50 boys. How many girls are there?
18. 18.Divide ₹78 between Diya and Aarav in the ratio 7 : 6. How much does Diya get (in ₹)?
19. 19.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
20. 20.10 : 13 = 70 : ?
21. 21.7 : 3 = 28 : ?
22. 22.11 : 5 = 44 : ?
23. 23.Divide ₹70 between Nisha and Isha in the ratio 5 : 2. How much does Nisha get (in ₹)?
24. 24.The ratio of boys to girls in a class is 1 : 9. There are 4 boys. How many girls are there?
25. 25.Divide ₹160 between Zoya and Priya in the ratio 3 : 5. How much does Priya get (in ₹)?
26. 26.Divide ₹306 between Meera and Priya in the ratio 4 : 5. How much does Meera get (in ₹)?
27. 27.Divide ₹324 between Ishaan and Ananya in the ratio 7 : 2. How much does Ishaan get (in ₹)?
28. 28.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?
29. 29.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?
30. 30.The ratio of boys to girls in a class is 2 : 9. There are 8 boys. How many girls are there?
31. 31.The ratio of boys to girls in a class is 8 : 7. There are 40 boys. How many girls are there?
32. 32.Divide ₹152 between Ishaan and Isha in the ratio 1 : 3. How much does Ishaan get (in ₹)?
33. 33.Divide ₹396 between Farhan and Dev in the ratio 7 : 2. How much does Farhan get (in ₹)?
34. 34.7 : 11 = 63 : ?
35. 35.The ratio of boys to girls in a class is 9 : 4. There are 90 boys. How many girls are there?
36. 36.Divide ₹176 between Karan and Rahul in the ratio 5 : 6. How much does Karan get (in ₹)?
37. 37.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
38. 38.Divide ₹56 between Meera and Aarav in the ratio 5 : 3. How much does Meera get (in ₹)?
39. 39.Divide ₹513 between Arjun and Zoya in the ratio 1 : 8. How much does Arjun get (in ₹)?
40. 40.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).

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