Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 199 · 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.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
2. 2.6 : 5 = 12 : ?
3. 3.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
4. 4.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
5. 5.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
6. 6.Divide ₹624 between Arjun and Nisha in the ratio 7 : 6. How much does Arjun get (in ₹)?
7. 7.The ratio of boys to girls in a class is 3 : 7. There are 24 boys. How many girls are there?
8. 8.Divide ₹310 between Saanvi and Arjun in the ratio 7 : 3. How much does Arjun get (in ₹)?
9. 9.9 : 10 = 81 : ?
10. 10.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
11. 11.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
12. 12.The ratio of boys to girls in a class is 6 : 5. There are 12 boys. How many girls are there?
13. 13.The ratio of boys to girls in a class is 1 : 7. There are 9 boys. How many girls are there?
14. 14.The ratio of boys to girls in a class is 9 : 5. There are 63 boys. How many girls are there?
15. 15.Divide ₹352 between Priya and Kavya in the ratio 4 : 7. How much does Kavya get (in ₹)?
16. 16.Divide ₹392 between Vivaan and Nisha in the ratio 5 : 9. How much does Nisha get (in ₹)?
17. 17.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
18. 18.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
19. 19.Divide ₹660 between Rohan and Vivaan in the ratio 3 : 8. How much does Vivaan get (in ₹)?
20. 20.Divide ₹533 between Karan and Manav in the ratio 7 : 6. How much does Manav get (in ₹)?
21. 21.Divide ₹490 between Farhan and Rohan in the ratio 7 : 3. How much does Farhan get (in ₹)?
22. 22.Divide ₹130 between Farhan and Aarav in the ratio 4 : 1. How much does Aarav get (in ₹)?
23. 23.2 : 13 = 16 : ?
24. 24.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
25. 25.4 : 14 = 8 : ?
26. 26.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
27. 27.Divide ₹380 between Ishaan and Aditya in the ratio 7 : 3. How much does Ishaan get (in ₹)?
28. 28.Divide ₹495 between Aditya and Ananya in the ratio 2 : 7. How much does Aditya get (in ₹)?
29. 29.Divide ₹390 between Aarav and Diya in the ratio 6 : 7. How much does Aarav get (in ₹)?
30. 30.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
31. 31.12 : 5 = 36 : ?
32. 32.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
33. 33.10 : 11 = 80 : ?
34. 34.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
35. 35.Divide ₹192 between Kabir and Arjun in the ratio 3 : 1. How much does Kabir get (in ₹)?
36. 36.The ratio of boys to girls in a class is 2 : 1. There are 18 boys. How many girls are there?
37. 37.7 : 3 = 42 : ?
38. 38.Divide ₹324 between Nisha and Isha in the ratio 1 : 8. How much does Nisha get (in ₹)?
39. 39.Divide ₹460 between Diya and Vivaan in the ratio 9 : 1. How much does Vivaan get (in ₹)?
40. 40.The ratio of boys to girls in a class is 7 : 2. There are 63 boys. How many girls are there?

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