Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 485 · 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 ₹825 between Kabir and Rahul in the ratio 8 : 7. How much does Rahul get (in ₹)?
2. 2.Divide ₹155 between Manav and Isha in the ratio 4 : 1. How much does Isha get (in ₹)?
3. 3.Divide ₹432 between Karan and Isha in the ratio 9 : 7. How much does Isha get (in ₹)?
4. 4.The ratio of boys to girls in a class is 6 : 1. There are 60 boys. How many girls are there?
5. 5.Divide ₹286 between Rohan and Farhan in the ratio 8 : 5. How much does Farhan get (in ₹)?
6. 6.The ratio of boys to girls in a class is 9 : 8. There are 27 boys. How many girls are there?
7. 7.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
8. 8.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
9. 9.Divide ₹429 between Kavya and Rahul in the ratio 7 : 6. How much does Kavya get (in ₹)?
10. 10.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
11. 11.10 : 12 = 20 : ?
12. 12.Divide ₹45 between Farhan and Arjun in the ratio 5 : 4. How much does Farhan get (in ₹)?
13. 13.10 : 5 = 60 : ?
14. 14.Divide ₹128 between Aarav and Kavya in the ratio 5 : 3. How much does Aarav get (in ₹)?
15. 15.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?
16. 16.6 : 8 = 54 : ?
17. 17.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
18. 18.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
19. 19.Divide ₹138 between Rohan and Ananya in the ratio 2 : 1. How much does Rohan get (in ₹)?
20. 20.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
21. 21.Divide ₹405 between Kabir and Aarav in the ratio 2 : 7. How much does Aarav get (in ₹)?
22. 22.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
23. 23.Divide ₹235 between Pooja and Rahul in the ratio 3 : 2. How much does Pooja get (in ₹)?
24. 24.10 : 8 = 60 : ?
25. 25.The ratio of boys to girls in a class is 2 : 3. There are 12 boys. How many girls are there?
26. 26.10 : 9 = 50 : ?
27. 27.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
28. 28.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
29. 29.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
30. 30.Divide ₹767 between Kabir and Ishaan in the ratio 4 : 9. How much does Ishaan get (in ₹)?
31. 31.Divide ₹66 between Ananya and Manav in the ratio 5 : 1. How much does Manav get (in ₹)?
32. 32.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
33. 33.Divide ₹126 between Nisha and Arjun in the ratio 2 : 5. How much does Arjun get (in ₹)?
34. 34.Divide ₹342 between Sneha and Manav in the ratio 7 : 2. How much does Sneha get (in ₹)?
35. 35.The ratio of boys to girls in a class is 5 : 9. There are 45 boys. How many girls are there?
36. 36.Divide ₹450 between Dev and Ananya in the ratio 7 : 3. How much does Ananya get (in ₹)?
37. 37.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
38. 38.10 : 11 = 60 : ?
39. 39.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
40. 40.The ratio of boys to girls in a class is 4 : 3. There are 28 boys. How many girls are there?

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