Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 887 · 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.The ratio of boys to girls in a class is 7 : 4. There are 14 boys. How many girls are there?
2. 2.11 : 9 = 33 : ?
3. 3.6 : 15 = 54 : ?
4. 4.10 : 8 = 50 : ?
5. 5.Divide ₹539 between Vivaan and Diya in the ratio 3 : 8. How much does Vivaan get (in ₹)?
6. 6.Divide ₹462 between Manav and Kavya in the ratio 7 : 4. How much does Kavya get (in ₹)?
7. 7.Divide ₹728 between Vivaan and Diya in the ratio 5 : 9. How much does Diya get (in ₹)?
8. 8.11 : 13 = 77 : ?
9. 9.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
10. 10.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
11. 11.Divide ₹360 between Kabir and Priya in the ratio 5 : 7. How much does Priya get (in ₹)?
12. 12.Divide ₹225 between Diya and Aarav in the ratio 7 : 2. How much does Diya get (in ₹)?
13. 13.The ratio of boys to girls in a class is 4 : 5. There are 24 boys. How many girls are there?
14. 14.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
15. 15.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
16. 16.Divide ₹539 between Ishaan and Arjun in the ratio 8 : 3. How much does Ishaan get (in ₹)?
17. 17.Divide ₹520 between Tara and Sneha in the ratio 9 : 4. How much does Sneha get (in ₹)?
18. 18.The ratio of boys to girls in a class is 2 : 3. There are 14 boys. How many girls are there?
19. 19.The ratio of boys to girls in a class is 7 : 5. There are 14 boys. How many girls are there?
20. 20.Divide ₹290 between Pooja and Ishaan in the ratio 3 : 2. How much does Pooja get (in ₹)?
21. 21.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
22. 22.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
23. 23.5 : 15 = 25 : ?
24. 24.The ratio of boys to girls in a class is 8 : 7. There are 32 boys. How many girls are there?
25. 25.Divide ₹550 between Sneha and Zoya in the ratio 7 : 3. How much does Zoya get (in ₹)?
26. 26.Divide ₹220 between Rahul and Manav in the ratio 9 : 1. How much does Rahul get (in ₹)?
27. 27.The ratio of boys to girls in a class is 1 : 3. There are 10 boys. How many girls are there?
28. 28.9 : 4 = 18 : ?
29. 29.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
30. 30.Divide ₹162 between Diya and Ishaan in the ratio 1 : 8. How much does Diya get (in ₹)?
31. 31.Divide ₹840 between Nisha and Kavya in the ratio 9 : 5. How much does Kavya get (in ₹)?
32. 32.The ratio of boys to girls in a class is 4 : 3. There are 12 boys. How many girls are there?
33. 33.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
34. 34.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
35. 35.3 : 8 = 12 : ?
36. 36.Divide ₹287 between Karan and Zoya in the ratio 2 : 5. How much does Zoya get (in ₹)?
37. 37.The ratio of boys to girls in a class is 9 : 2. There are 81 boys. How many girls are there?
38. 38.Divide ₹225 between Farhan and Kabir in the ratio 4 : 5. How much does Kabir get (in ₹)?
39. 39.Divide ₹459 between Vivaan and Saanvi in the ratio 8 : 1. How much does Vivaan get (in ₹)?
40. 40.The ratio of boys to girls in a class is 2 : 3. There are 6 boys. How many girls are there?

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