Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 879 · 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. 1.5 : 7 = 45 : ?
2. 2.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
3. 3.The ratio of boys to girls in a class is 2 : 7. There are 12 boys. How many girls are there?
4. 4.The ratio of boys to girls in a class is 9 : 1. There are 63 boys. How many girls are there?
5. 5.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
6. 6.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
7. 7.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
8. 8.Divide ₹126 between Rahul and Dev in the ratio 4 : 5. How much does Dev get (in ₹)?
9. 9.Divide ₹531 between Aarav and Manav in the ratio 2 : 7. How much does Aarav get (in ₹)?
10. 10.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
11. 11.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
12. 12.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
13. 13.7 : 6 = 28 : ?
14. 14.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
15. 15.The ratio of boys to girls in a class is 7 : 3. There are 14 boys. How many girls are there?
16. 16.5 : 3 = 15 : ?
17. 17.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
18. 18.The ratio of boys to girls in a class is 1 : 3. There are 4 boys. How many girls are there?
19. 19.10 : 2 = 90 : ?
20. 20.Divide ₹363 between Kabir and Ishaan in the ratio 4 : 7. How much does Kabir get (in ₹)?
21. 21.Divide ₹247 between Manav and Ananya in the ratio 9 : 4. How much does Ananya get (in ₹)?
22. 22.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
23. 23.Divide ₹225 between Karan and Tara in the ratio 7 : 8. How much does Tara get (in ₹)?
24. 24.8 : 12 = 48 : ?
25. 25.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
26. 26.Divide ₹168 between Aditya and Meera in the ratio 1 : 7. How much does Aditya get (in ₹)?
27. 27.Divide ₹128 between Nisha and Aarav in the ratio 5 : 3. How much does Aarav get (in ₹)?
28. 28.Divide ₹72 between Aditya and Ananya in the ratio 2 : 7. How much does Ananya get (in ₹)?
29. 29.The ratio of boys to girls in a class is 2 : 7. There are 8 boys. How many girls are there?
30. 30.The ratio of boys to girls in a class is 9 : 1. There are 54 boys. How many girls are there?
31. 31.Divide ₹165 between Aditya and Manav in the ratio 3 : 2. How much does Aditya get (in ₹)?
32. 32.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
33. 33.The ratio of boys to girls in a class is 9 : 4. There are 72 boys. How many girls are there?
34. 34.8 : 2 = 32 : ?
35. 35.Divide ₹63 between Tara and Kabir in the ratio 8 : 1. How much does Kabir get (in ₹)?
36. 36.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
37. 37.The ratio of boys to girls in a class is 3 : 5. There are 12 boys. How many girls are there?
38. 38.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
39. 39.The ratio of boys to girls in a class is 7 : 9. There are 35 boys. How many girls are there?
40. 40.The ratio of boys to girls in a class is 8 : 1. There are 72 boys. How many girls are there?

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