Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 902 · 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. 1.4 : 7 = 12 : ?
2. 2.Divide ₹169 between Aditya and Kabir in the ratio 7 : 6. How much does Aditya get (in ₹)?
3. 3.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
4. 4.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
5. 5.Divide ₹276 between Isha and Aarav in the ratio 5 : 7. How much does Isha get (in ₹)?
6. 6.7 : 6 = 21 : ?
7. 7.Divide ₹360 between Aarav and Zoya in the ratio 1 : 7. How much does Zoya get (in ₹)?
8. 8.The ratio of boys to girls in a class is 5 : 8. There are 20 boys. How many girls are there?
9. 9.3 : 15 = 12 : ?
10. 10.Divide ₹222 between Arjun and Aditya in the ratio 1 : 5. How much does Aditya get (in ₹)?
11. 11.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
12. 12.The ratio of boys to girls in a class is 4 : 7. There are 36 boys. How many girls are there?
13. 13.The ratio of boys to girls in a class is 1 : 5. There are 5 boys. How many girls are there?
14. 14.6 : 3 = 24 : ?
15. 15.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
16. 16.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
17. 17.Divide ₹69 between Rohan and Saanvi in the ratio 1 : 2. How much does Rohan get (in ₹)?
18. 18.12 : 4 = 24 : ?
19. 19.The ratio of boys to girls in a class is 9 : 5. There are 54 boys. How many girls are there?
20. 20.Divide ₹115 between Vivaan and Saanvi in the ratio 2 : 3. How much does Vivaan get (in ₹)?
21. 21.Divide ₹460 between Isha and Dev in the ratio 1 : 9. How much does Dev get (in ₹)?
22. 22.The ratio of boys to girls in a class is 8 : 5. There are 16 boys. How many girls are there?
23. 23.Divide ₹506 between Priya and Karan in the ratio 3 : 8. How much does Priya get (in ₹)?
24. 24.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
25. 25.Divide ₹55 between Arjun and Karan in the ratio 2 : 3. How much does Karan get (in ₹)?
26. 26.6 : 10 = 24 : ?
27. 27.Divide ₹234 between Saanvi and Ananya in the ratio 4 : 9. How much does Saanvi get (in ₹)?
28. 28.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
29. 29.Divide ₹572 between Vivaan and Ananya in the ratio 9 : 4. How much does Ananya get (in ₹)?
30. 30.Divide ₹500 between Ishaan and Saanvi in the ratio 1 : 9. How much does Ishaan get (in ₹)?
31. 31.The ratio of boys to girls in a class is 5 : 9. There are 30 boys. How many girls are there?
32. 32.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
33. 33.The ratio of boys to girls in a class is 5 : 7. There are 20 boys. How many girls are there?
34. 34.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
35. 35.Divide ₹220 between Arjun and Diya in the ratio 9 : 1. How much does Diya get (in ₹)?
36. 36.The ratio of boys to girls in a class is 5 : 6. There are 40 boys. How many girls are there?
37. 37.11 : 12 = 55 : ?
38. 38.Divide ₹238 between Isha and Kavya in the ratio 8 : 9. How much does Isha get (in ₹)?
39. 39.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
40. 40.The ratio of boys to girls in a class is 1 : 4. There are 2 boys. How many girls are there?

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