Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 893 · 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. 1.11 : 7 = 88 : ?
2. 2.The ratio of boys to girls in a class is 5 : 7. There are 45 boys. How many girls are there?
3. 3.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
4. 4.8 : 7 = 72 : ?
5. 5.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
6. 6.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
7. 7.Divide ₹512 between Rohan and Farhan in the ratio 7 : 9. How much does Rohan get (in ₹)?
8. 8.The ratio of boys to girls in a class is 7 : 4. There are 42 boys. How many girls are there?
9. 9.The ratio of boys to girls in a class is 3 : 4. There are 24 boys. How many girls are there?
10. 10.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
11. 11.Divide ₹440 between Dev and Manav in the ratio 2 : 9. How much does Dev get (in ₹)?
12. 12.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
13. 13.7 : 3 = 42 : ?
14. 14.The ratio of boys to girls in a class is 7 : 5. There are 21 boys. How many girls are there?
15. 15.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
16. 16.Divide ₹175 between Rahul and Dev in the ratio 4 : 1. How much does Dev get (in ₹)?
17. 17.Divide ₹75 between Aarav and Farhan in the ratio 2 : 1. How much does Aarav get (in ₹)?
18. 18.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?
19. 19.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
20. 20.11 : 7 = 99 : ?
21. 21.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
22. 22.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
23. 23.7 : 6 = 14 : ?
24. 24.Divide ₹168 between Zoya and Vivaan in the ratio 3 : 4. How much does Zoya get (in ₹)?
25. 25.Divide ₹35 between Kabir and Meera in the ratio 2 : 5. How much does Kabir get (in ₹)?
26. 26.Divide ₹240 between Pooja and Rahul in the ratio 7 : 3. How much does Rahul get (in ₹)?
27. 27.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
28. 28.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
29. 29.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
30. 30.Divide ₹935 between Priya and Karan in the ratio 9 : 8. How much does Karan get (in ₹)?
31. 31.7 : 2 = 21 : ?
32. 32.Divide ₹70 between Kabir and Pooja in the ratio 6 : 1. How much does Kabir get (in ₹)?
33. 33.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
34. 34.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
35. 35.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
36. 36.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
37. 37.Divide ₹680 between Pooja and Manav in the ratio 9 : 8. How much does Pooja get (in ₹)?
38. 38.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
39. 39.Divide ₹315 between Karan and Sneha in the ratio 5 : 2. How much does Sneha get (in ₹)?
40. 40.The ratio of boys to girls in a class is 1 : 6. There are 2 boys. How many girls are there?

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