Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 459 · 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 9 and 18 (that is, 9 : 18 = 18 : ?).
2. 2.6 : 2 = 12 : ?
3. 3.Divide ₹408 between Arjun and Ananya in the ratio 8 : 9. How much does Arjun get (in ₹)?
4. 4.Divide ₹90 between Manav and Ishaan in the ratio 3 : 2. How much does Manav get (in ₹)?
5. 5.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
6. 6.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
7. 7.Divide ₹162 between Aarav and Kavya in the ratio 1 : 8. How much does Kavya get (in ₹)?
8. 8.Divide ₹533 between Ishaan and Kavya in the ratio 4 : 9. How much does Kavya get (in ₹)?
9. 9.Divide ₹224 between Aditya and Pooja in the ratio 9 : 7. How much does Pooja get (in ₹)?
10. 10.Divide ₹418 between Sneha and Zoya in the ratio 4 : 7. How much does Zoya get (in ₹)?
11. 11.Divide ₹174 between Karan and Dev in the ratio 1 : 2. How much does Dev get (in ₹)?
12. 12.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
13. 13.Divide ₹372 between Meera and Rohan in the ratio 7 : 5. How much does Meera get (in ₹)?
14. 14.The ratio of boys to girls in a class is 8 : 5. There are 48 boys. How many girls are there?
15. 15.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
16. 16.Divide ₹460 between Manav and Kavya in the ratio 1 : 9. How much does Manav get (in ₹)?
17. 17.Divide ₹187 between Zoya and Ishaan in the ratio 8 : 3. How much does Ishaan get (in ₹)?
18. 18.Divide ₹270 between Kabir and Aarav in the ratio 9 : 1. How much does Aarav get (in ₹)?
19. 19.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
20. 20.Divide ₹104 between Zoya and Aarav in the ratio 7 : 6. How much does Zoya get (in ₹)?
21. 21.12 : 14 = 72 : ?
22. 22.The ratio of boys to girls in a class is 3 : 1. There are 15 boys. How many girls are there?
23. 23.Divide ₹81 between Rohan and Isha in the ratio 1 : 2. How much does Rohan get (in ₹)?
24. 24.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
25. 25.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
26. 26.Divide ₹833 between Ananya and Saanvi in the ratio 9 : 8. How much does Saanvi get (in ₹)?
27. 27.9 : 7 = 18 : ?
28. 28.Divide ₹484 between Kavya and Priya in the ratio 8 : 3. How much does Kavya get (in ₹)?
29. 29.The ratio of boys to girls in a class is 1 : 8. There are 10 boys. How many girls are there?
30. 30.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
31. 31.The ratio of boys to girls in a class is 4 : 7. There are 36 boys. How many girls are there?
32. 32.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
33. 33.2 : 4 = 16 : ?
34. 34.Divide ₹225 between Rohan and Zoya in the ratio 1 : 8. How much does Zoya get (in ₹)?
35. 35.5 : 8 = 25 : ?
36. 36.Divide ₹135 between Kavya and Isha in the ratio 2 : 1. How much does Isha get (in ₹)?
37. 37.Divide ₹125 between Zoya and Aarav in the ratio 3 : 2. How much does Aarav get (in ₹)?
38. 38.The ratio of boys to girls in a class is 4 : 1. There are 8 boys. How many girls are there?
39. 39.Divide ₹70 between Pooja and Meera in the ratio 6 : 1. How much does Meera get (in ₹)?
40. 40.Divide ₹442 between Diya and Meera in the ratio 7 : 6. How much does Meera get (in ₹)?

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