Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 557 · 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 28 boys. How many girls are there?
2. 2.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
3. 3.Divide ₹126 between Karan and Pooja in the ratio 9 : 5. How much does Pooja get (in ₹)?
4. 4.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
5. 5.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
6. 6.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
7. 7.The ratio of boys to girls in a class is 4 : 3. There are 24 boys. How many girls are there?
8. 8.Divide ₹136 between Vivaan and Ishaan in the ratio 5 : 3. How much does Vivaan get (in ₹)?
9. 9.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
10. 10.7 : 4 = 63 : ?
11. 11.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
12. 12.12 : 5 = 72 : ?
13. 13.Divide ₹88 between Zoya and Aarav in the ratio 6 : 5. How much does Zoya get (in ₹)?
14. 14.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
15. 15.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
16. 16.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
17. 17.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
18. 18.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
19. 19.Divide ₹319 between Farhan and Saanvi in the ratio 2 : 9. How much does Saanvi get (in ₹)?
20. 20.Divide ₹306 between Vivaan and Diya in the ratio 1 : 5. How much does Vivaan get (in ₹)?
21. 21.2 : 15 = 12 : ?
22. 22.The ratio of boys to girls in a class is 3 : 4. There are 18 boys. How many girls are there?
23. 23.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?
24. 24.The ratio of boys to girls in a class is 3 : 7. There are 15 boys. How many girls are there?
25. 25.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
26. 26.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
27. 27.Divide ₹782 between Pooja and Kavya in the ratio 9 : 8. How much does Pooja get (in ₹)?
28. 28.The ratio of boys to girls in a class is 5 : 8. There are 30 boys. How many girls are there?
29. 29.Divide ₹322 between Kavya and Aditya in the ratio 5 : 2. How much does Kavya get (in ₹)?
30. 30.11 : 4 = 66 : ?
31. 31.The ratio of boys to girls in a class is 5 : 6. There are 35 boys. How many girls are there?
32. 32.The ratio of boys to girls in a class is 1 : 8. There are 8 boys. How many girls are there?
33. 33.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
34. 34.Divide ₹595 between Meera and Ananya in the ratio 9 : 8. How much does Ananya get (in ₹)?
35. 35.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
36. 36.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
37. 37.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
38. 38.Divide ₹190 between Diya and Dev in the ratio 1 : 9. How much does Dev get (in ₹)?
39. 39.3 : 15 = 9 : ?
40. 40.Divide ₹252 between Meera and Priya in the ratio 1 : 8. How much does Priya get (in ₹)?

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