Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 787 · 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 4 : 7. There are 16 boys. How many girls are there?
2. 2.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
3. 3.The ratio of boys to girls in a class is 4 : 9. There are 20 boys. How many girls are there?
4. 4.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
5. 5.Divide ₹132 between Kabir and Kavya in the ratio 1 : 2. How much does Kabir get (in ₹)?
6. 6.3 : 11 = 15 : ?
7. 7.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
8. 8.9 : 5 = 45 : ?
9. 9.Divide ₹286 between Ananya and Aarav in the ratio 7 : 6. How much does Aarav get (in ₹)?
10. 10.10 : 15 = 20 : ?
11. 11.2 : 10 = 8 : ?
12. 12.Divide ₹35 between Vivaan and Pooja in the ratio 4 : 1. How much does Pooja get (in ₹)?
13. 13.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
14. 14.The ratio of boys to girls in a class is 2 : 9. There are 6 boys. How many girls are there?
15. 15.Divide ₹350 between Ananya and Tara in the ratio 9 : 5. How much does Tara get (in ₹)?
16. 16.Divide ₹294 between Meera and Saanvi in the ratio 5 : 9. How much does Meera get (in ₹)?
17. 17.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
18. 18.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
19. 19.The ratio of boys to girls in a class is 4 : 3. There are 32 boys. How many girls are there?
20. 20.The ratio of boys to girls in a class is 4 : 1. There are 16 boys. How many girls are there?
21. 21.Divide ₹336 between Zoya and Rahul in the ratio 5 : 1. How much does Rahul get (in ₹)?
22. 22.Divide ₹390 between Priya and Sneha in the ratio 9 : 4. How much does Priya get (in ₹)?
23. 23.Divide ₹180 between Meera and Diya in the ratio 7 : 8. How much does Meera get (in ₹)?
24. 24.Divide ₹64 between Aditya and Ishaan in the ratio 1 : 3. How much does Ishaan get (in ₹)?
25. 25.Divide ₹605 between Sneha and Zoya in the ratio 5 : 6. How much does Zoya get (in ₹)?
26. 26.Divide ₹720 between Rahul and Priya in the ratio 7 : 8. How much does Rahul get (in ₹)?
27. 27.Divide ₹352 between Nisha and Priya in the ratio 1 : 7. How much does Nisha get (in ₹)?
28. 28.Divide ₹272 between Ishaan and Pooja in the ratio 8 : 9. How much does Pooja get (in ₹)?
29. 29.The ratio of boys to girls in a class is 6 : 1. There are 42 boys. How many girls are there?
30. 30.Divide ₹105 between Rahul and Kabir in the ratio 3 : 4. How much does Rahul get (in ₹)?
31. 31.Divide ₹162 between Tara and Zoya in the ratio 2 : 7. How much does Zoya get (in ₹)?
32. 32.The ratio of boys to girls in a class is 4 : 3. There are 20 boys. How many girls are there?
33. 33.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
34. 34.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
35. 35.10 : 11 = 50 : ?
36. 36.The ratio of boys to girls in a class is 9 : 1. There are 81 boys. How many girls are there?
37. 37.Divide ₹235 between Ananya and Sneha in the ratio 2 : 3. How much does Sneha get (in ₹)?
38. 38.The ratio of boys to girls in a class is 5 : 4. There are 10 boys. How many girls are there?
39. 39.Divide ₹656 between Manav and Zoya in the ratio 9 : 7. How much does Zoya get (in ₹)?
40. 40.9 : 15 = 81 : ?

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