Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 35 · 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.Divide ₹374 between Diya and Farhan in the ratio 9 : 8. How much does Diya get (in ₹)?
2. 2.The ratio of boys to girls in a class is 9 : 8. There are 63 boys. How many girls are there?
3. 3.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
4. 4.Divide ₹470 between Kavya and Zoya in the ratio 7 : 3. How much does Kavya get (in ₹)?
5. 5.The ratio of boys to girls in a class is 4 : 7. There are 16 boys. How many girls are there?
6. 6.7 : 3 = 56 : ?
7. 7.10 : 8 = 60 : ?
8. 8.4 : 13 = 8 : ?
9. 9.The ratio of boys to girls in a class is 7 : 5. There are 14 boys. How many girls are there?
10. 10.The ratio of boys to girls in a class is 9 : 5. There are 81 boys. How many girls are there?
11. 11.Divide ₹147 between Nisha and Sneha in the ratio 5 : 2. How much does Sneha get (in ₹)?
12. 12.Divide ₹459 between Sneha and Ananya in the ratio 4 : 5. How much does Ananya get (in ₹)?
13. 13.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
14. 14.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
15. 15.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
16. 16.10 : 3 = 70 : ?
17. 17.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
18. 18.Divide ₹36 between Kavya and Nisha in the ratio 2 : 1. How much does Kavya get (in ₹)?
19. 19.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
20. 20.9 : 5 = 54 : ?
21. 21.Divide ₹363 between Rahul and Ishaan in the ratio 8 : 3. How much does Rahul get (in ₹)?
22. 22.Divide ₹196 between Ishaan and Zoya in the ratio 5 : 9. How much does Ishaan get (in ₹)?
23. 23.The ratio of boys to girls in a class is 1 : 7. There are 7 boys. How many girls are there?
24. 24.Divide ₹160 between Tara and Ananya in the ratio 1 : 9. How much does Tara get (in ₹)?
25. 25.The ratio of boys to girls in a class is 2 : 3. There are 14 boys. How many girls are there?
26. 26.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
27. 27.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
28. 28.Divide ₹444 between Aditya and Rohan in the ratio 5 : 7. How much does Rohan get (in ₹)?
29. 29.Divide ₹117 between Karan and Rahul in the ratio 4 : 9. How much does Karan get (in ₹)?
30. 30.The ratio of boys to girls in a class is 1 : 6. There are 9 boys. How many girls are there?
31. 31.Divide ₹187 between Farhan and Kavya in the ratio 8 : 9. How much does Kavya get (in ₹)?
32. 32.8 : 13 = 24 : ?
33. 33.The ratio of boys to girls in a class is 7 : 8. There are 14 boys. How many girls are there?
34. 34.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
35. 35.The ratio of boys to girls in a class is 7 : 1. There are 42 boys. How many girls are there?
36. 36.The ratio of boys to girls in a class is 7 : 9. There are 21 boys. How many girls are there?
37. 37.Divide ₹78 between Dev and Kabir in the ratio 8 : 5. How much does Kabir get (in ₹)?
38. 38.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
39. 39.Divide ₹100 between Arjun and Priya in the ratio 4 : 1. How much does Priya get (in ₹)?
40. 40.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).

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