Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 180 · 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 3 and 9 (that is, 3 : 9 = 9 : ?).
2. 2.Divide ₹170 between Rohan and Nisha in the ratio 4 : 1. How much does Nisha get (in ₹)?
3. 3.The ratio of boys to girls in a class is 2 : 3. There are 8 boys. How many girls are there?
4. 4.Divide ₹165 between Diya and Priya in the ratio 3 : 2. How much does Diya get (in ₹)?
5. 5.The ratio of boys to girls in a class is 3 : 5. There are 6 boys. How many girls are there?
6. 6.Divide ₹182 between Ishaan and Nisha in the ratio 3 : 4. How much does Nisha get (in ₹)?
7. 7.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
8. 8.The ratio of boys to girls in a class is 7 : 5. There are 42 boys. How many girls are there?
9. 9.12 : 3 = 96 : ?
10. 10.2 : 9 = 18 : ?
11. 11.4 : 10 = 36 : ?
12. 12.Divide ₹64 between Isha and Arjun in the ratio 3 : 1. How much does Arjun get (in ₹)?
13. 13.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
14. 14.The ratio of boys to girls in a class is 6 : 7. There are 12 boys. How many girls are there?
15. 15.Divide ₹55 between Ananya and Aarav in the ratio 7 : 4. How much does Ananya get (in ₹)?
16. 16.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
17. 17.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
18. 18.Divide ₹371 between Dev and Tara in the ratio 5 : 2. How much does Dev get (in ₹)?
19. 19.The ratio of boys to girls in a class is 9 : 5. There are 18 boys. How many girls are there?
20. 20.Divide ₹357 between Kabir and Farhan in the ratio 6 : 1. How much does Farhan get (in ₹)?
21. 21.Divide ₹156 between Kavya and Ishaan in the ratio 5 : 7. How much does Kavya get (in ₹)?
22. 22.12 : 4 = 84 : ?
23. 23.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
24. 24.Divide ₹228 between Sneha and Zoya in the ratio 3 : 1. How much does Sneha get (in ₹)?
25. 25.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
26. 26.The ratio of boys to girls in a class is 3 : 5. There are 30 boys. How many girls are there?
27. 27.Divide ₹583 between Vivaan and Ananya in the ratio 9 : 2. How much does Vivaan get (in ₹)?
28. 28.The ratio of boys to girls in a class is 7 : 2. There are 21 boys. How many girls are there?
29. 29.Divide ₹77 between Rohan and Kavya in the ratio 3 : 4. How much does Rohan get (in ₹)?
30. 30.11 : 13 = 66 : ?
31. 31.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
32. 32.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
33. 33.Divide ₹832 between Rahul and Nisha in the ratio 7 : 9. How much does Rahul get (in ₹)?
34. 34.Divide ₹330 between Rahul and Nisha in the ratio 1 : 5. How much does Nisha get (in ₹)?
35. 35.Divide ₹180 between Manav and Rohan in the ratio 7 : 2. How much does Rohan get (in ₹)?
36. 36.4 : 2 = 8 : ?
37. 37.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
38. 38.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
39. 39.Divide ₹133 between Saanvi and Priya in the ratio 3 : 4. How much does Priya get (in ₹)?
40. 40.Divide ₹259 between Ananya and Ishaan in the ratio 4 : 3. How much does Ishaan get (in ₹)?

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