Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 372 · 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 2 and 6 (that is, 2 : 6 = 6 : ?).
2. 2.Divide ₹416 between Zoya and Arjun in the ratio 7 : 6. How much does Zoya get (in ₹)?
3. 3.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
4. 4.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
5. 5.Divide ₹650 between Nisha and Aarav in the ratio 4 : 9. How much does Nisha get (in ₹)?
6. 6.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
7. 7.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
8. 8.Divide ₹196 between Aditya and Pooja in the ratio 3 : 4. How much does Pooja get (in ₹)?
9. 9.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
10. 10.Divide ₹150 between Meera and Nisha in the ratio 3 : 2. How much does Nisha get (in ₹)?
11. 11.Divide ₹330 between Nisha and Kavya in the ratio 7 : 4. How much does Kavya get (in ₹)?
12. 12.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
13. 13.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
14. 14.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
15. 15.Divide ₹195 between Aarav and Isha in the ratio 7 : 6. How much does Isha get (in ₹)?
16. 16.Divide ₹357 between Zoya and Aarav in the ratio 5 : 2. How much does Aarav get (in ₹)?
17. 17.Divide ₹84 between Rohan and Pooja in the ratio 1 : 3. How much does Pooja get (in ₹)?
18. 18.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
19. 19.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
20. 20.3 : 4 = 27 : ?
21. 21.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
22. 22.The ratio of boys to girls in a class is 4 : 9. There are 20 boys. How many girls are there?
23. 23.10 : 4 = 30 : ?
24. 24.Divide ₹253 between Zoya and Aarav in the ratio 2 : 9. How much does Aarav get (in ₹)?
25. 25.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
26. 26.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
27. 27.The ratio of boys to girls in a class is 6 : 5. There are 54 boys. How many girls are there?
28. 28.Divide ₹115 between Rohan and Kavya in the ratio 4 : 1. How much does Rohan get (in ₹)?
29. 29.8 : 2 = 16 : ?
30. 30.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
31. 31.Divide ₹70 between Kavya and Ishaan in the ratio 1 : 6. How much does Kavya get (in ₹)?
32. 32.Divide ₹45 between Priya and Sneha in the ratio 7 : 2. How much does Priya get (in ₹)?
33. 33.Divide ₹935 between Karan and Vivaan in the ratio 8 : 9. How much does Vivaan get (in ₹)?
34. 34.Divide ₹105 between Pooja and Kabir in the ratio 5 : 2. How much does Pooja get (in ₹)?
35. 35.Divide ₹328 between Kavya and Manav in the ratio 1 : 7. How much does Manav get (in ₹)?
36. 36.Divide ₹180 between Manav and Saanvi in the ratio 1 : 3. How much does Manav get (in ₹)?
37. 37.The ratio of boys to girls in a class is 5 : 1. There are 35 boys. How many girls are there?
38. 38.Divide ₹441 between Meera and Manav in the ratio 1 : 8. How much does Manav get (in ₹)?
39. 39.2 : 13 = 12 : ?
40. 40.The ratio of boys to girls in a class is 9 : 4. There are 18 boys. How many girls are there?

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