Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 631 · 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 4 and 16 (that is, 4 : 16 = 16 : ?).
2. 2.The ratio of boys to girls in a class is 9 : 1. There are 81 boys. How many girls are there?
3. 3.12 : 13 = 72 : ?
4. 4.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
5. 5.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
6. 6.The ratio of boys to girls in a class is 7 : 8. There are 42 boys. How many girls are there?
7. 7.The ratio of boys to girls in a class is 7 : 2. There are 14 boys. How many girls are there?
8. 8.The ratio of boys to girls in a class is 9 : 4. There are 36 boys. How many girls are there?
9. 9.The ratio of boys to girls in a class is 1 : 7. There are 2 boys. How many girls are there?
10. 10.Divide ₹30 between Priya and Kabir in the ratio 1 : 4. How much does Priya get (in ₹)?
11. 11.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
12. 12.9 : 7 = 63 : ?
13. 13.Divide ₹42 between Ananya and Kavya in the ratio 1 : 2. How much does Ananya get (in ₹)?
14. 14.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
15. 15.Divide ₹117 between Isha and Ishaan in the ratio 7 : 6. How much does Ishaan get (in ₹)?
16. 16.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
17. 17.10 : 5 = 40 : ?
18. 18.Divide ₹336 between Aditya and Pooja in the ratio 6 : 1. How much does Aditya get (in ₹)?
19. 19.Divide ₹144 between Kavya and Ishaan in the ratio 5 : 7. How much does Kavya get (in ₹)?
20. 20.4 : 3 = 20 : ?
21. 21.12 : 8 = 72 : ?
22. 22.The ratio of boys to girls in a class is 3 : 2. There are 24 boys. How many girls are there?
23. 23.7 : 8 = 14 : ?
24. 24.2 : 11 = 18 : ?
25. 25.Divide ₹180 between Isha and Ananya in the ratio 5 : 4. How much does Isha get (in ₹)?
26. 26.Divide ₹560 between Rohan and Kavya in the ratio 1 : 9. How much does Kavya get (in ₹)?
27. 27.Divide ₹312 between Aarav and Priya in the ratio 6 : 7. How much does Priya get (in ₹)?
28. 28.The ratio of boys to girls in a class is 7 : 8. There are 56 boys. How many girls are there?
29. 29.Divide ₹638 between Aditya and Vivaan in the ratio 9 : 2. How much does Vivaan get (in ₹)?
30. 30.Divide ₹135 between Diya and Farhan in the ratio 7 : 8. How much does Farhan get (in ₹)?
31. 31.The ratio of boys to girls in a class is 7 : 4. There are 35 boys. How many girls are there?
32. 32.Divide ₹24 between Saanvi and Kavya in the ratio 1 : 3. How much does Saanvi get (in ₹)?
33. 33.The ratio of boys to girls in a class is 7 : 9. There are 63 boys. How many girls are there?
34. 34.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
35. 35.Divide ₹260 between Aarav and Manav in the ratio 1 : 4. How much does Aarav get (in ₹)?
36. 36.The ratio of boys to girls in a class is 1 : 3. There are 8 boys. How many girls are there?
37. 37.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
38. 38.The ratio of boys to girls in a class is 4 : 7. There are 28 boys. How many girls are there?
39. 39.Divide ₹232 between Ananya and Karan in the ratio 3 : 1. How much does Ananya get (in ₹)?
40. 40.Divide ₹320 between Zoya and Arjun in the ratio 1 : 7. How much does Zoya get (in ₹)?

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