Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 197 · 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 2 : 1. There are 10 boys. How many girls are there?
2. 2.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
3. 3.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
4. 4.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
5. 5.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
6. 6.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
7. 7.Divide ₹287 between Nisha and Isha in the ratio 4 : 3. How much does Nisha get (in ₹)?
8. 8.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
9. 9.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
10. 10.Divide ₹154 between Diya and Rohan in the ratio 9 : 5. How much does Rohan get (in ₹)?
11. 11.5 : 12 = 15 : ?
12. 12.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
13. 13.Divide ₹225 between Pooja and Tara in the ratio 4 : 1. How much does Tara get (in ₹)?
14. 14.Divide ₹369 between Tara and Farhan in the ratio 2 : 7. How much does Tara get (in ₹)?
15. 15.Divide ₹63 between Saanvi and Rohan in the ratio 2 : 5. How much does Saanvi get (in ₹)?
16. 16.Divide ₹504 between Saanvi and Meera in the ratio 5 : 7. How much does Meera get (in ₹)?
17. 17.7 : 6 = 35 : ?
18. 18.The ratio of boys to girls in a class is 7 : 3. There are 56 boys. How many girls are there?
19. 19.Divide ₹826 between Rohan and Diya in the ratio 5 : 9. How much does Rohan get (in ₹)?
20. 20.Divide ₹56 between Zoya and Kabir in the ratio 1 : 7. How much does Kabir get (in ₹)?
21. 21.Divide ₹605 between Karan and Farhan in the ratio 8 : 3. How much does Farhan get (in ₹)?
22. 22.The ratio of boys to girls in a class is 7 : 5. There are 28 boys. How many girls are there?
23. 23.11 : 12 = 66 : ?
24. 24.The ratio of boys to girls in a class is 2 : 3. There are 18 boys. How many girls are there?
25. 25.6 : 8 = 24 : ?
26. 26.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
27. 27.Divide ₹66 between Zoya and Karan in the ratio 1 : 5. How much does Zoya get (in ₹)?
28. 28.Divide ₹225 between Saanvi and Pooja in the ratio 2 : 7. How much does Saanvi get (in ₹)?
29. 29.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
30. 30.Divide ₹55 between Nisha and Ananya in the ratio 3 : 2. How much does Ananya get (in ₹)?
31. 31.10 : 13 = 70 : ?
32. 32.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
33. 33.Divide ₹270 between Kavya and Ananya in the ratio 5 : 1. How much does Kavya get (in ₹)?
34. 34.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
35. 35.The ratio of boys to girls in a class is 8 : 1. There are 48 boys. How many girls are there?
36. 36.10 : 12 = 50 : ?
37. 37.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
38. 38.Divide ₹236 between Dev and Isha in the ratio 1 : 3. How much does Dev get (in ₹)?
39. 39.Divide ₹649 between Priya and Meera in the ratio 3 : 8. How much does Priya get (in ₹)?
40. 40.Divide ₹147 between Rahul and Vivaan in the ratio 1 : 2. How much does Rahul get (in ₹)?

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