Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 636 · 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. 1.3 : 2 = 18 : ?
2. 2.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
3. 3.The ratio of boys to girls in a class is 8 : 3. There are 24 boys. How many girls are there?
4. 4.Divide ₹260 between Karan and Priya in the ratio 6 : 7. How much does Karan get (in ₹)?
5. 5.2 : 10 = 6 : ?
6. 6.Divide ₹516 between Rahul and Kabir in the ratio 7 : 5. How much does Kabir get (in ₹)?
7. 7.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
8. 8.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
9. 9.The ratio of boys to girls in a class is 4 : 1. There are 24 boys. How many girls are there?
10. 10.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
11. 11.Divide ₹66 between Saanvi and Ananya in the ratio 4 : 7. How much does Saanvi get (in ₹)?
12. 12.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
13. 13.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
14. 14.The ratio of boys to girls in a class is 5 : 4. There are 15 boys. How many girls are there?
15. 15.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
16. 16.6 : 15 = 42 : ?
17. 17.Divide ₹396 between Isha and Nisha in the ratio 8 : 1. How much does Isha get (in ₹)?
18. 18.Divide ₹528 between Kavya and Dev in the ratio 9 : 7. How much does Kavya get (in ₹)?
19. 19.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
20. 20.Divide ₹450 between Sneha and Ishaan in the ratio 5 : 4. How much does Sneha get (in ₹)?
21. 21.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
22. 22.The ratio of boys to girls in a class is 7 : 1. There are 49 boys. How many girls are there?
23. 23.Divide ₹275 between Arjun and Meera in the ratio 2 : 9. How much does Arjun get (in ₹)?
24. 24.Divide ₹288 between Vivaan and Rahul in the ratio 8 : 1. How much does Vivaan get (in ₹)?
25. 25.Divide ₹91 between Isha and Manav in the ratio 9 : 4. How much does Isha get (in ₹)?
26. 26.Divide ₹429 between Ananya and Arjun in the ratio 7 : 4. How much does Arjun get (in ₹)?
27. 27.9 : 5 = 72 : ?
28. 28.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
29. 29.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
30. 30.3 : 2 = 12 : ?
31. 31.Divide ₹637 between Diya and Ananya in the ratio 9 : 4. How much does Diya get (in ₹)?
32. 32.Divide ₹396 between Arjun and Kabir in the ratio 7 : 5. How much does Arjun get (in ₹)?
33. 33.Divide ₹440 between Meera and Diya in the ratio 9 : 2. How much does Meera get (in ₹)?
34. 34.Divide ₹352 between Rohan and Karan in the ratio 1 : 7. How much does Rohan get (in ₹)?
35. 35.6 : 3 = 42 : ?
36. 36.Divide ₹672 between Ishaan and Tara in the ratio 5 : 9. How much does Ishaan get (in ₹)?
37. 37.Divide ₹320 between Farhan and Dev in the ratio 1 : 7. How much does Farhan get (in ₹)?
38. 38.7 : 9 = 35 : ?
39. 39.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
40. 40.Divide ₹66 between Tara and Sneha in the ratio 2 : 1. How much does Sneha get (in ₹)?

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