Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 937 · 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 12 (that is, 4 : 12 = 12 : ?).
2. 2.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
3. 3.Divide ₹100 between Isha and Farhan in the ratio 1 : 4. How much does Farhan get (in ₹)?
4. 4.The ratio of boys to girls in a class is 7 : 1. There are 42 boys. How many girls are there?
5. 5.10 : 11 = 50 : ?
6. 6.6 : 9 = 30 : ?
7. 7.The ratio of boys to girls in a class is 1 : 8. There are 4 boys. How many girls are there?
8. 8.The ratio of boys to girls in a class is 8 : 3. There are 40 boys. How many girls are there?
9. 9.Divide ₹649 between Ananya and Aarav in the ratio 9 : 2. How much does Aarav get (in ₹)?
10. 10.Divide ₹414 between Isha and Rahul in the ratio 4 : 5. How much does Isha get (in ₹)?
11. 11.Divide ₹504 between Diya and Zoya in the ratio 9 : 5. How much does Diya get (in ₹)?
12. 12.Divide ₹48 between Isha and Ananya in the ratio 7 : 1. How much does Ananya get (in ₹)?
13. 13.The ratio of boys to girls in a class is 2 : 7. There are 20 boys. How many girls are there?
14. 14.3 : 14 = 9 : ?
15. 15.11 : 10 = 55 : ?
16. 16.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
17. 17.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
18. 18.Divide ₹216 between Pooja and Rohan in the ratio 8 : 1. How much does Rohan get (in ₹)?
19. 19.The ratio of boys to girls in a class is 9 : 5. There are 63 boys. How many girls are there?
20. 20.Divide ₹150 between Manav and Diya in the ratio 9 : 1. How much does Manav get (in ₹)?
21. 21.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
22. 22.Divide ₹329 between Aditya and Saanvi in the ratio 4 : 3. How much does Saanvi get (in ₹)?
23. 23.The ratio of boys to girls in a class is 7 : 1. There are 21 boys. How many girls are there?
24. 24.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
25. 25.Divide ₹99 between Nisha and Sneha in the ratio 9 : 2. How much does Nisha get (in ₹)?
26. 26.Divide ₹585 between Rahul and Nisha in the ratio 8 : 5. How much does Rahul get (in ₹)?
27. 27.Divide ₹198 between Vivaan and Arjun in the ratio 8 : 3. How much does Vivaan get (in ₹)?
28. 28.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
29. 29.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
30. 30.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
31. 31.Divide ₹410 between Aditya and Ananya in the ratio 1 : 9. How much does Aditya get (in ₹)?
32. 32.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
33. 33.Divide ₹135 between Rahul and Aditya in the ratio 2 : 1. How much does Rahul get (in ₹)?
34. 34.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
35. 35.Divide ₹270 between Rohan and Pooja in the ratio 7 : 2. How much does Rohan get (in ₹)?
36. 36.Divide ₹513 between Diya and Isha in the ratio 4 : 5. How much does Diya get (in ₹)?
37. 37.7 : 11 = 28 : ?
38. 38.The ratio of boys to girls in a class is 7 : 6. There are 14 boys. How many girls are there?
39. 39.The ratio of boys to girls in a class is 1 : 9. There are 7 boys. How many girls are there?
40. 40.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).

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