Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 242 · 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. 1.12 : 4 = 24 : ?
2. 2.The ratio of boys to girls in a class is 6 : 7. There are 30 boys. How many girls are there?
3. 3.The ratio of boys to girls in a class is 8 : 7. There are 64 boys. How many girls are there?
4. 4.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
5. 5.6 : 3 = 30 : ?
6. 6.Divide ₹216 between Kavya and Rahul in the ratio 3 : 5. How much does Kavya get (in ₹)?
7. 7.Divide ₹145 between Isha and Tara in the ratio 2 : 3. How much does Tara get (in ₹)?
8. 8.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
9. 9.The ratio of boys to girls in a class is 3 : 4. There are 9 boys. How many girls are there?
10. 10.Divide ₹715 between Saanvi and Meera in the ratio 8 : 5. How much does Saanvi get (in ₹)?
11. 11.Divide ₹795 between Nisha and Pooja in the ratio 8 : 7. How much does Pooja get (in ₹)?
12. 12.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
13. 13.The ratio of boys to girls in a class is 1 : 9. There are 5 boys. How many girls are there?
14. 14.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
15. 15.The ratio of boys to girls in a class is 2 : 5. There are 8 boys. How many girls are there?
16. 16.Divide ₹154 between Manav and Ishaan in the ratio 3 : 4. How much does Manav get (in ₹)?
17. 17.Divide ₹715 between Rohan and Nisha in the ratio 4 : 9. How much does Nisha get (in ₹)?
18. 18.The ratio of boys to girls in a class is 7 : 8. There are 35 boys. How many girls are there?
19. 19.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
20. 20.9 : 13 = 81 : ?
21. 21.The ratio of boys to girls in a class is 5 : 8. There are 10 boys. How many girls are there?
22. 22.7 : 2 = 56 : ?
23. 23.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
24. 24.7 : 11 = 35 : ?
25. 25.Divide ₹378 between Isha and Sneha in the ratio 4 : 5. How much does Isha get (in ₹)?
26. 26.The ratio of boys to girls in a class is 7 : 2. There are 56 boys. How many girls are there?
27. 27.Divide ₹126 between Tara and Meera in the ratio 6 : 1. How much does Tara get (in ₹)?
28. 28.Divide ₹182 between Tara and Kavya in the ratio 2 : 5. How much does Tara get (in ₹)?
29. 29.9 : 10 = 72 : ?
30. 30.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
31. 31.Divide ₹812 between Kabir and Priya in the ratio 9 : 5. How much does Priya get (in ₹)?
32. 32.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
33. 33.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
34. 34.The ratio of boys to girls in a class is 2 : 1. There are 12 boys. How many girls are there?
35. 35.Divide ₹153 between Pooja and Ishaan in the ratio 5 : 4. How much does Ishaan get (in ₹)?
36. 36.The ratio of boys to girls in a class is 9 : 7. There are 90 boys. How many girls are there?
37. 37.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
38. 38.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
39. 39.Divide ₹780 between Priya and Kabir in the ratio 7 : 8. How much does Priya get (in ₹)?
40. 40.The ratio of boys to girls in a class is 8 : 9. There are 80 boys. How many girls are there?

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