Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 122 · 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.Divide ₹527 between Pooja and Aarav in the ratio 9 : 8. How much does Aarav get (in ₹)?
2. 2.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
3. 3.2 : 5 = 16 : ?
4. 4.7 : 15 = 21 : ?
5. 5.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
6. 6.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
7. 7.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
8. 8.Divide ₹585 between Ishaan and Rahul in the ratio 8 : 5. How much does Rahul get (in ₹)?
9. 9.Divide ₹148 between Zoya and Ananya in the ratio 1 : 3. How much does Ananya get (in ₹)?
10. 10.The ratio of boys to girls in a class is 4 : 5. There are 16 boys. How many girls are there?
11. 11.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
12. 12.Divide ₹840 between Ishaan and Kavya in the ratio 9 : 5. How much does Ishaan get (in ₹)?
13. 13.Divide ₹93 between Aditya and Diya in the ratio 1 : 2. How much does Aditya get (in ₹)?
14. 14.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
15. 15.Divide ₹150 between Aarav and Isha in the ratio 9 : 1. How much does Aarav get (in ₹)?
16. 16.Divide ₹495 between Nisha and Diya in the ratio 2 : 7. How much does Nisha get (in ₹)?
17. 17.Divide ₹462 between Priya and Nisha in the ratio 2 : 9. How much does Nisha get (in ₹)?
18. 18.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
19. 19.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
20. 20.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
21. 21.The ratio of boys to girls in a class is 9 : 5. There are 18 boys. How many girls are there?
22. 22.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
23. 23.The ratio of boys to girls in a class is 4 : 5. There are 8 boys. How many girls are there?
24. 24.8 : 7 = 32 : ?
25. 25.The ratio of boys to girls in a class is 5 : 6. There are 35 boys. How many girls are there?
26. 26.Divide ₹243 between Tara and Farhan in the ratio 5 : 4. How much does Tara get (in ₹)?
27. 27.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
28. 28.Divide ₹490 between Pooja and Rohan in the ratio 9 : 5. How much does Pooja get (in ₹)?
29. 29.11 : 3 = 99 : ?
30. 30.The ratio of boys to girls in a class is 7 : 5. There are 49 boys. How many girls are there?
31. 31.8 : 11 = 16 : ?
32. 32.Divide ₹92 between Kavya and Pooja in the ratio 3 : 1. How much does Kavya get (in ₹)?
33. 33.Divide ₹196 between Kabir and Ananya in the ratio 6 : 1. How much does Ananya get (in ₹)?
34. 34.Divide ₹200 between Farhan and Isha in the ratio 9 : 1. How much does Farhan get (in ₹)?
35. 35.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
36. 36.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
37. 37.Divide ₹320 between Isha and Zoya in the ratio 7 : 9. How much does Zoya get (in ₹)?
38. 38.5 : 2 = 35 : ?
39. 39.Divide ₹550 between Karan and Pooja in the ratio 9 : 1. How much does Pooja get (in ₹)?
40. 40.Divide ₹590 between Rohan and Ishaan in the ratio 7 : 3. How much does Ishaan get (in ₹)?

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