Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 262 · 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.The ratio of boys to girls in a class is 4 : 7. There are 20 boys. How many girls are there?
2. 2.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
3. 3.10 : 9 = 30 : ?
4. 4.The ratio of boys to girls in a class is 8 : 5. There are 24 boys. How many girls are there?
5. 5.9 : 15 = 63 : ?
6. 6.3 : 7 = 24 : ?
7. 7.Divide ₹72 between Arjun and Kavya in the ratio 8 : 1. How much does Arjun get (in ₹)?
8. 8.Divide ₹112 between Pooja and Rohan in the ratio 9 : 5. How much does Pooja get (in ₹)?
9. 9.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
10. 10.Divide ₹198 between Diya and Meera in the ratio 7 : 2. How much does Diya get (in ₹)?
11. 11.The ratio of boys to girls in a class is 3 : 2. There are 9 boys. How many girls are there?
12. 12.3 : 13 = 24 : ?
13. 13.Divide ₹638 between Vivaan and Nisha in the ratio 4 : 7. How much does Nisha get (in ₹)?
14. 14.8 : 6 = 48 : ?
15. 15.The ratio of boys to girls in a class is 4 : 1. There are 32 boys. How many girls are there?
16. 16.Divide ₹315 between Aarav and Arjun in the ratio 6 : 1. How much does Arjun get (in ₹)?
17. 17.Divide ₹649 between Tara and Arjun in the ratio 9 : 2. How much does Tara get (in ₹)?
18. 18.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
19. 19.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
20. 20.The ratio of boys to girls in a class is 9 : 2. There are 54 boys. How many girls are there?
21. 21.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
22. 22.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
23. 23.Divide ₹112 between Ishaan and Aarav in the ratio 7 : 9. How much does Ishaan get (in ₹)?
24. 24.Divide ₹391 between Kabir and Dev in the ratio 8 : 9. How much does Kabir get (in ₹)?
25. 25.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
26. 26.Divide ₹216 between Sneha and Kavya in the ratio 7 : 1. How much does Sneha get (in ₹)?
27. 27.Divide ₹689 between Rahul and Meera in the ratio 5 : 8. How much does Rahul get (in ₹)?
28. 28.The ratio of boys to girls in a class is 5 : 4. There are 40 boys. How many girls are there?
29. 29.Divide ₹40 between Rohan and Nisha in the ratio 1 : 3. How much does Rohan get (in ₹)?
30. 30.6 : 9 = 12 : ?
31. 31.Divide ₹279 between Ananya and Pooja in the ratio 8 : 1. How much does Pooja get (in ₹)?
32. 32.Divide ₹455 between Rahul and Sneha in the ratio 6 : 7. How much does Rahul get (in ₹)?
33. 33.6 : 14 = 48 : ?
34. 34.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
35. 35.Divide ₹344 between Karan and Farhan in the ratio 1 : 7. How much does Farhan get (in ₹)?
36. 36.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
37. 37.The ratio of boys to girls in a class is 7 : 6. There are 70 boys. How many girls are there?
38. 38.Divide ₹93 between Ananya and Meera in the ratio 1 : 2. How much does Ananya get (in ₹)?
39. 39.Divide ₹208 between Rahul and Arjun in the ratio 5 : 3. How much does Rahul get (in ₹)?
40. 40.8 : 11 = 72 : ?

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