Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 868 · 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. 1.6 : 3 = 12 : ?
2. 2.The ratio of boys to girls in a class is 6 : 1. There are 30 boys. How many girls are there?
3. 3.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
4. 4.2 : 8 = 14 : ?
5. 5.The ratio of boys to girls in a class is 7 : 8. There are 63 boys. How many girls are there?
6. 6.6 : 10 = 30 : ?
7. 7.11 : 2 = 22 : ?
8. 8.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
9. 9.12 : 8 = 24 : ?
10. 10.The ratio of boys to girls in a class is 4 : 9. There are 40 boys. How many girls are there?
11. 11.The ratio of boys to girls in a class is 8 : 5. There are 56 boys. How many girls are there?
12. 12.Divide ₹250 between Pooja and Manav in the ratio 3 : 2. How much does Manav get (in ₹)?
13. 13.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
14. 14.Divide ₹99 between Zoya and Ananya in the ratio 8 : 1. How much does Zoya get (in ₹)?
15. 15.Divide ₹285 between Isha and Ananya in the ratio 8 : 7. How much does Ananya get (in ₹)?
16. 16.The ratio of boys to girls in a class is 9 : 7. There are 18 boys. How many girls are there?
17. 17.The ratio of boys to girls in a class is 5 : 6. There are 50 boys. How many girls are there?
18. 18.Divide ₹638 between Ananya and Kavya in the ratio 6 : 5. How much does Ananya get (in ₹)?
19. 19.Divide ₹260 between Karan and Zoya in the ratio 9 : 1. How much does Karan get (in ₹)?
20. 20.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
21. 21.Divide ₹204 between Arjun and Sneha in the ratio 3 : 1. How much does Arjun get (in ₹)?
22. 22.The ratio of boys to girls in a class is 4 : 7. There are 32 boys. How many girls are there?
23. 23.6 : 15 = 30 : ?
24. 24.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
25. 25.The ratio of boys to girls in a class is 7 : 1. There are 70 boys. How many girls are there?
26. 26.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
27. 27.Divide ₹60 between Kavya and Arjun in the ratio 1 : 2. How much does Arjun get (in ₹)?
28. 28.Divide ₹126 between Rahul and Meera in the ratio 2 : 7. How much does Rahul get (in ₹)?
29. 29.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
30. 30.Divide ₹473 between Nisha and Farhan in the ratio 6 : 5. How much does Nisha get (in ₹)?
31. 31.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
32. 32.The ratio of boys to girls in a class is 9 : 2. There are 72 boys. How many girls are there?
33. 33.Divide ₹184 between Meera and Pooja in the ratio 5 : 3. How much does Meera get (in ₹)?
34. 34.Divide ₹672 between Zoya and Rohan in the ratio 9 : 5. How much does Zoya get (in ₹)?
35. 35.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
36. 36.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
37. 37.2 : 7 = 8 : ?
38. 38.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
39. 39.Divide ₹220 between Rohan and Aditya in the ratio 9 : 2. How much does Aditya get (in ₹)?
40. 40.Divide ₹540 between Ishaan and Rahul in the ratio 1 : 8. How much does Rahul get (in ₹)?

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