Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 934 · 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 ₹140 between Farhan and Aditya in the ratio 4 : 1. How much does Aditya get (in ₹)?
2. 2.12 : 3 = 84 : ?
3. 3.Divide ₹130 between Vivaan and Ishaan in the ratio 1 : 9. How much does Ishaan get (in ₹)?
4. 4.The ratio of boys to girls in a class is 9 : 8. There are 18 boys. How many girls are there?
5. 5.Divide ₹333 between Meera and Dev in the ratio 7 : 2. How much does Dev get (in ₹)?
6. 6.Divide ₹580 between Ishaan and Isha in the ratio 9 : 1. How much does Ishaan get (in ₹)?
7. 7.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
8. 8.Divide ₹689 between Karan and Vivaan in the ratio 4 : 9. How much does Vivaan get (in ₹)?
9. 9.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
10. 10.7 : 13 = 14 : ?
11. 11.Divide ₹180 between Rohan and Saanvi in the ratio 2 : 7. How much does Rohan get (in ₹)?
12. 12.Divide ₹663 between Ishaan and Saanvi in the ratio 8 : 9. How much does Ishaan get (in ₹)?
13. 13.Divide ₹210 between Aditya and Aarav in the ratio 1 : 6. How much does Aditya get (in ₹)?
14. 14.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
15. 15.Divide ₹98 between Kabir and Nisha in the ratio 5 : 9. How much does Nisha get (in ₹)?
16. 16.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
17. 17.Divide ₹308 between Kabir and Arjun in the ratio 6 : 5. How much does Kabir get (in ₹)?
18. 18.Divide ₹507 between Nisha and Manav in the ratio 4 : 9. How much does Nisha get (in ₹)?
19. 19.Divide ₹45 between Aditya and Ananya in the ratio 1 : 8. How much does Ananya get (in ₹)?
20. 20.The ratio of boys to girls in a class is 7 : 3. There are 21 boys. How many girls are there?
21. 21.12 : 6 = 84 : ?
22. 22.Divide ₹162 between Kabir and Rohan in the ratio 8 : 1. How much does Rohan get (in ₹)?
23. 23.Divide ₹429 between Aditya and Kabir in the ratio 2 : 9. How much does Kabir get (in ₹)?
24. 24.The ratio of boys to girls in a class is 9 : 1. There are 18 boys. How many girls are there?
25. 25.5 : 8 = 35 : ?
26. 26.8 : 3 = 32 : ?
27. 27.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
28. 28.The ratio of boys to girls in a class is 9 : 5. There are 90 boys. How many girls are there?
29. 29.7 : 3 = 56 : ?
30. 30.3 : 12 = 9 : ?
31. 31.10 : 9 = 90 : ?
32. 32.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
33. 33.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
34. 34.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
35. 35.Divide ₹231 between Sneha and Aarav in the ratio 3 : 8. How much does Aarav get (in ₹)?
36. 36.The ratio of boys to girls in a class is 3 : 1. There are 6 boys. How many girls are there?
37. 37.Divide ₹735 between Dev and Aarav in the ratio 7 : 8. How much does Aarav get (in ₹)?
38. 38.Divide ₹99 between Nisha and Rohan in the ratio 3 : 8. How much does Nisha get (in ₹)?
39. 39.Divide ₹220 between Manav and Meera in the ratio 3 : 1. How much does Meera get (in ₹)?
40. 40.Divide ₹592 between Rahul and Dev in the ratio 7 : 9. How much does Rahul get (in ₹)?

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