Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 683 · 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 ₹528 between Saanvi and Priya in the ratio 4 : 7. How much does Saanvi get (in ₹)?
2. 2.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
3. 3.Divide ₹531 between Saanvi and Ishaan in the ratio 7 : 2. How much does Saanvi get (in ₹)?
4. 4.The ratio of boys to girls in a class is 7 : 1. There are 56 boys. How many girls are there?
5. 5.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
6. 6.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
7. 7.4 : 2 = 24 : ?
8. 8.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
9. 9.12 : 5 = 36 : ?
10. 10.Divide ₹189 between Nisha and Vivaan in the ratio 8 : 1. How much does Nisha get (in ₹)?
11. 11.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
12. 12.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
13. 13.12 : 8 = 36 : ?
14. 14.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
15. 15.5 : 7 = 15 : ?
16. 16.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
17. 17.Divide ₹432 between Aarav and Rohan in the ratio 5 : 4. How much does Aarav get (in ₹)?
18. 18.Divide ₹480 between Arjun and Aditya in the ratio 7 : 3. How much does Arjun get (in ₹)?
19. 19.Divide ₹450 between Dev and Diya in the ratio 5 : 4. How much does Dev get (in ₹)?
20. 20.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
21. 21.Divide ₹136 between Nisha and Rohan in the ratio 5 : 3. How much does Nisha get (in ₹)?
22. 22.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
23. 23.Divide ₹416 between Pooja and Dev in the ratio 3 : 5. How much does Dev get (in ₹)?
24. 24.Divide ₹540 between Zoya and Meera in the ratio 8 : 7. How much does Meera get (in ₹)?
25. 25.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
26. 26.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
27. 27.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
28. 28.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
29. 29.The ratio of boys to girls in a class is 8 : 5. There are 72 boys. How many girls are there?
30. 30.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
31. 31.Divide ₹420 between Farhan and Kabir in the ratio 7 : 5. How much does Kabir get (in ₹)?
32. 32.2 : 6 = 6 : ?
33. 33.The ratio of boys to girls in a class is 4 : 1. There are 12 boys. How many girls are there?
34. 34.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
35. 35.The ratio of boys to girls in a class is 2 : 1. There are 16 boys. How many girls are there?
36. 36.2 : 3 = 10 : ?
37. 37.Divide ₹70 between Karan and Vivaan in the ratio 2 : 3. How much does Vivaan get (in ₹)?
38. 38.Divide ₹136 between Pooja and Meera in the ratio 8 : 9. How much does Pooja get (in ₹)?
39. 39.Divide ₹90 between Aarav and Arjun in the ratio 9 : 1. How much does Arjun get (in ₹)?
40. 40.Divide ₹228 between Arjun and Tara in the ratio 1 : 3. How much does Arjun get (in ₹)?

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