Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 895 · 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. 1.8 : 5 = 72 : ?
2. 2.The ratio of boys to girls in a class is 7 : 3. There are 49 boys. How many girls are there?
3. 3.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
4. 4.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
5. 5.Divide ₹374 between Vivaan and Pooja in the ratio 3 : 8. How much does Vivaan get (in ₹)?
6. 6.9 : 10 = 36 : ?
7. 7.The ratio of boys to girls in a class is 3 : 5. There are 6 boys. How many girls are there?
8. 8.Divide ₹18 between Tara and Ananya in the ratio 2 : 1. How much does Ananya get (in ₹)?
9. 9.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
10. 10.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
11. 11.Divide ₹407 between Rahul and Vivaan in the ratio 7 : 4. How much does Vivaan get (in ₹)?
12. 12.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
13. 13.Divide ₹78 between Kavya and Diya in the ratio 9 : 4. How much does Kavya get (in ₹)?
14. 14.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
15. 15.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
16. 16.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
17. 17.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
18. 18.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
19. 19.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
20. 20.Divide ₹72 between Ishaan and Sneha in the ratio 2 : 1. How much does Sneha get (in ₹)?
21. 21.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
22. 22.Divide ₹117 between Nisha and Priya in the ratio 4 : 9. How much does Priya get (in ₹)?
23. 23.The ratio of boys to girls in a class is 1 : 4. There are 7 boys. How many girls are there?
24. 24.2 : 5 = 16 : ?
25. 25.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
26. 26.Divide ₹120 between Zoya and Aditya in the ratio 5 : 7. How much does Zoya get (in ₹)?
27. 27.Divide ₹444 between Manav and Saanvi in the ratio 5 : 7. How much does Manav get (in ₹)?
28. 28.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
29. 29.Divide ₹385 between Priya and Kavya in the ratio 5 : 6. How much does Priya get (in ₹)?
30. 30.Divide ₹368 between Priya and Rohan in the ratio 5 : 3. How much does Priya get (in ₹)?
31. 31.8 : 13 = 72 : ?
32. 32.Divide ₹126 between Karan and Ananya in the ratio 5 : 2. How much does Karan get (in ₹)?
33. 33.Divide ₹70 between Nisha and Diya in the ratio 5 : 9. How much does Diya get (in ₹)?
34. 34.Divide ₹112 between Sneha and Priya in the ratio 4 : 3. How much does Sneha get (in ₹)?
35. 35.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
36. 36.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
37. 37.Divide ₹85 between Kabir and Aditya in the ratio 1 : 4. How much does Kabir get (in ₹)?
38. 38.Divide ₹308 between Rahul and Priya in the ratio 4 : 7. How much does Priya get (in ₹)?
39. 39.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
40. 40.Divide ₹105 between Priya and Ananya in the ratio 4 : 3. How much does Ananya get (in ₹)?

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