Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 111 · 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 8 : 3. There are 40 boys. How many girls are there?
2. 2.The ratio of boys to girls in a class is 8 : 9. There are 24 boys. How many girls are there?
3. 3.Divide ₹432 between Ananya and Karan in the ratio 8 : 1. How much does Karan get (in ₹)?
4. 4.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
5. 5.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
6. 6.Divide ₹153 between Kavya and Saanvi in the ratio 8 : 9. How much does Saanvi get (in ₹)?
7. 7.Divide ₹252 between Aarav and Zoya in the ratio 5 : 9. How much does Aarav get (in ₹)?
8. 8.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
9. 9.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
10. 10.The ratio of boys to girls in a class is 1 : 7. There are 6 boys. How many girls are there?
11. 11.3 : 10 = 9 : ?
12. 12.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
13. 13.Divide ₹132 between Aarav and Karan in the ratio 9 : 2. How much does Aarav get (in ₹)?
14. 14.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
15. 15.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
16. 16.9 : 12 = 81 : ?
17. 17.Divide ₹204 between Meera and Farhan in the ratio 1 : 3. How much does Farhan get (in ₹)?
18. 18.Divide ₹901 between Rohan and Priya in the ratio 8 : 9. How much does Rohan get (in ₹)?
19. 19.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?
20. 20.The ratio of boys to girls in a class is 5 : 7. There are 40 boys. How many girls are there?
21. 21.Divide ₹455 between Vivaan and Nisha in the ratio 6 : 7. How much does Nisha get (in ₹)?
22. 22.Divide ₹329 between Priya and Isha in the ratio 3 : 4. How much does Isha get (in ₹)?
23. 23.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
24. 24.10 : 8 = 30 : ?
25. 25.Divide ₹190 between Ishaan and Karan in the ratio 1 : 4. How much does Karan get (in ₹)?
26. 26.6 : 4 = 36 : ?
27. 27.Divide ₹472 between Meera and Dev in the ratio 5 : 3. How much does Meera get (in ₹)?
28. 28.Divide ₹476 between Ishaan and Aditya in the ratio 9 : 5. How much does Ishaan get (in ₹)?
29. 29.Divide ₹364 between Meera and Diya in the ratio 9 : 4. How much does Diya get (in ₹)?
30. 30.7 : 15 = 49 : ?
31. 31.The ratio of boys to girls in a class is 3 : 5. There are 21 boys. How many girls are there?
32. 32.Divide ₹413 between Kavya and Ananya in the ratio 2 : 5. How much does Kavya get (in ₹)?
33. 33.Divide ₹273 between Ishaan and Sneha in the ratio 1 : 6. How much does Ishaan get (in ₹)?
34. 34.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
35. 35.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
36. 36.Divide ₹210 between Kavya and Kabir in the ratio 1 : 4. How much does Kabir get (in ₹)?
37. 37.Divide ₹477 between Saanvi and Karan in the ratio 4 : 5. How much does Karan get (in ₹)?
38. 38.5 : 10 = 30 : ?
39. 39.The ratio of boys to girls in a class is 1 : 2. There are 2 boys. How many girls are there?
40. 40.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?

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