Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 919 · 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.The ratio of boys to girls in a class is 8 : 1. There are 56 boys. How many girls are there?
2. 2.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
3. 3.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
4. 4.Divide ₹145 between Priya and Isha in the ratio 1 : 4. How much does Priya get (in ₹)?
5. 5.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
6. 6.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
7. 7.7 : 3 = 28 : ?
8. 8.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
9. 9.Divide ₹364 between Ananya and Meera in the ratio 5 : 8. How much does Meera get (in ₹)?
10. 10.Divide ₹45 between Vivaan and Meera in the ratio 2 : 7. How much does Meera get (in ₹)?
11. 11.The ratio of boys to girls in a class is 4 : 7. There are 36 boys. How many girls are there?
12. 12.Divide ₹715 between Ananya and Vivaan in the ratio 4 : 9. How much does Vivaan get (in ₹)?
13. 13.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
14. 14.Divide ₹78 between Karan and Dev in the ratio 5 : 8. How much does Dev get (in ₹)?
15. 15.The ratio of boys to girls in a class is 6 : 5. There are 18 boys. How many girls are there?
16. 16.The ratio of boys to girls in a class is 4 : 9. There are 16 boys. How many girls are there?
17. 17.Divide ₹105 between Aditya and Isha in the ratio 5 : 2. How much does Aditya get (in ₹)?
18. 18.Divide ₹612 between Saanvi and Ananya in the ratio 7 : 5. How much does Ananya get (in ₹)?
19. 19.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
20. 20.The ratio of boys to girls in a class is 5 : 1. There are 20 boys. How many girls are there?
21. 21.The ratio of boys to girls in a class is 3 : 8. There are 24 boys. How many girls are there?
22. 22.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
23. 23.5 : 11 = 20 : ?
24. 24.The ratio of boys to girls in a class is 7 : 6. There are 35 boys. How many girls are there?
25. 25.Divide ₹416 between Zoya and Farhan in the ratio 5 : 8. How much does Zoya get (in ₹)?
26. 26.Divide ₹175 between Zoya and Vivaan in the ratio 3 : 2. How much does Zoya get (in ₹)?
27. 27.Divide ₹363 between Ishaan and Arjun in the ratio 5 : 6. How much does Ishaan get (in ₹)?
28. 28.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
29. 29.Divide ₹816 between Aditya and Kavya in the ratio 8 : 9. How much does Aditya get (in ₹)?
30. 30.The ratio of boys to girls in a class is 3 : 4. There are 9 boys. How many girls are there?
31. 31.The ratio of boys to girls in a class is 8 : 9. There are 16 boys. How many girls are there?
32. 32.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
33. 33.Divide ₹741 between Arjun and Tara in the ratio 5 : 8. How much does Arjun get (in ₹)?
34. 34.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
35. 35.Divide ₹406 between Dev and Isha in the ratio 1 : 6. How much does Dev get (in ₹)?
36. 36.Divide ₹324 between Farhan and Rohan in the ratio 1 : 5. How much does Rohan get (in ₹)?
37. 37.Divide ₹250 between Ananya and Kabir in the ratio 9 : 1. How much does Kabir get (in ₹)?
38. 38.The ratio of boys to girls in a class is 3 : 7. There are 21 boys. How many girls are there?
39. 39.3 : 7 = 18 : ?
40. 40.8 : 15 = 48 : ?

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