Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 831 · 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 ₹627 between Aarav and Isha in the ratio 2 : 9. How much does Isha get (in ₹)?
2. 2.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
3. 3.Divide ₹330 between Aarav and Rohan in the ratio 4 : 7. How much does Rohan get (in ₹)?
4. 4.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
5. 5.Divide ₹378 between Kavya and Isha in the ratio 3 : 4. How much does Kavya get (in ₹)?
6. 6.12 : 10 = 36 : ?
7. 7.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
8. 8.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
9. 9.Divide ₹714 between Tara and Karan in the ratio 8 : 9. How much does Karan get (in ₹)?
10. 10.11 : 6 = 55 : ?
11. 11.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
12. 12.Divide ₹180 between Zoya and Aditya in the ratio 5 : 1. How much does Zoya get (in ₹)?
13. 13.The ratio of boys to girls in a class is 9 : 8. There are 18 boys. How many girls are there?
14. 14.The ratio of boys to girls in a class is 2 : 1. There are 20 boys. How many girls are there?
15. 15.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
16. 16.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
17. 17.Divide ₹462 between Saanvi and Rohan in the ratio 2 : 9. How much does Rohan get (in ₹)?
18. 18.10 : 2 = 50 : ?
19. 19.Divide ₹413 between Rohan and Arjun in the ratio 4 : 3. How much does Arjun get (in ₹)?
20. 20.The ratio of boys to girls in a class is 2 : 7. There are 4 boys. How many girls are there?
21. 21.Divide ₹135 between Dev and Farhan in the ratio 4 : 1. How much does Farhan get (in ₹)?
22. 22.The ratio of boys to girls in a class is 1 : 4. There are 5 boys. How many girls are there?
23. 23.9 : 3 = 81 : ?
24. 24.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
25. 25.The ratio of boys to girls in a class is 1 : 6. There are 8 boys. How many girls are there?
26. 26.The ratio of boys to girls in a class is 9 : 1. There are 45 boys. How many girls are there?
27. 27.Divide ₹80 between Tara and Arjun in the ratio 9 : 1. How much does Tara get (in ₹)?
28. 28.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
29. 29.Divide ₹704 between Kavya and Rahul in the ratio 9 : 7. How much does Rahul get (in ₹)?
30. 30.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
31. 31.The ratio of boys to girls in a class is 2 : 7. There are 6 boys. How many girls are there?
32. 32.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
33. 33.Divide ₹530 between Aarav and Isha in the ratio 9 : 1. How much does Isha get (in ₹)?
34. 34.11 : 10 = 66 : ?
35. 35.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
36. 36.Divide ₹351 between Dev and Tara in the ratio 4 : 5. How much does Dev get (in ₹)?
37. 37.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
38. 38.Divide ₹288 between Saanvi and Diya in the ratio 1 : 5. How much does Diya get (in ₹)?
39. 39.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
40. 40.Divide ₹598 between Vivaan and Ananya in the ratio 6 : 7. How much does Vivaan get (in ₹)?

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