Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 470 · 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 ₹583 between Saanvi and Ananya in the ratio 8 : 3. How much does Saanvi get (in ₹)?
2. 2.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
3. 3.Divide ₹900 between Zoya and Priya in the ratio 8 : 7. How much does Zoya get (in ₹)?
4. 4.Divide ₹627 between Zoya and Saanvi in the ratio 2 : 9. How much does Zoya get (in ₹)?
5. 5.11 : 5 = 55 : ?
6. 6.6 : 2 = 36 : ?
7. 7.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
8. 8.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
9. 9.The ratio of boys to girls in a class is 4 : 7. There are 20 boys. How many girls are there?
10. 10.Divide ₹406 between Farhan and Arjun in the ratio 6 : 1. How much does Arjun get (in ₹)?
11. 11.The ratio of boys to girls in a class is 5 : 8. There are 40 boys. How many girls are there?
12. 12.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
13. 13.Divide ₹242 between Rohan and Dev in the ratio 8 : 3. How much does Dev get (in ₹)?
14. 14.Divide ₹100 between Rahul and Farhan in the ratio 3 : 1. How much does Rahul get (in ₹)?
15. 15.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
16. 16.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
17. 17.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
18. 18.The ratio of boys to girls in a class is 3 : 2. There are 15 boys. How many girls are there?
19. 19.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
20. 20.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
21. 21.7 : 3 = 63 : ?
22. 22.The ratio of boys to girls in a class is 7 : 2. There are 35 boys. How many girls are there?
23. 23.The ratio of boys to girls in a class is 7 : 9. There are 70 boys. How many girls are there?
24. 24.Divide ₹112 between Vivaan and Manav in the ratio 5 : 3. How much does Vivaan get (in ₹)?
25. 25.The ratio of boys to girls in a class is 7 : 1. There are 56 boys. How many girls are there?
26. 26.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
27. 27.The ratio of boys to girls in a class is 5 : 1. There are 30 boys. How many girls are there?
28. 28.8 : 5 = 24 : ?
29. 29.9 : 13 = 54 : ?
30. 30.Divide ₹240 between Zoya and Meera in the ratio 2 : 3. How much does Meera get (in ₹)?
31. 31.4 : 3 = 20 : ?
32. 32.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
33. 33.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
34. 34.Divide ₹304 between Dev and Rohan in the ratio 9 : 7. How much does Rohan get (in ₹)?
35. 35.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
36. 36.The ratio of boys to girls in a class is 5 : 3. There are 25 boys. How many girls are there?
37. 37.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
38. 38.2 : 14 = 16 : ?
39. 39.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
40. 40.Divide ₹275 between Pooja and Arjun in the ratio 4 : 7. How much does Pooja get (in ₹)?

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