Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 991 · 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 ₹68 between Nisha and Meera in the ratio 3 : 1. How much does Meera get (in ₹)?
2. 2.7 : 13 = 14 : ?
3. 3.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
4. 4.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
5. 5.3 : 5 = 9 : ?
6. 6.10 : 12 = 80 : ?
7. 7.6 : 3 = 36 : ?
8. 8.Divide ₹390 between Nisha and Aarav in the ratio 8 : 5. How much does Nisha get (in ₹)?
9. 9.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
10. 10.Divide ₹153 between Nisha and Arjun in the ratio 2 : 7. How much does Nisha get (in ₹)?
11. 11.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
12. 12.2 : 13 = 6 : ?
13. 13.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
14. 14.Divide ₹231 between Zoya and Rahul in the ratio 1 : 6. How much does Rahul get (in ₹)?
15. 15.The ratio of boys to girls in a class is 1 : 2. There are 6 boys. How many girls are there?
16. 16.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
17. 17.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
18. 18.The ratio of boys to girls in a class is 5 : 6. There are 45 boys. How many girls are there?
19. 19.Divide ₹36 between Kavya and Kabir in the ratio 1 : 3. How much does Kavya get (in ₹)?
20. 20.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
21. 21.Divide ₹336 between Aarav and Sneha in the ratio 2 : 5. How much does Aarav get (in ₹)?
22. 22.Divide ₹220 between Ishaan and Ananya in the ratio 5 : 6. How much does Ananya get (in ₹)?
23. 23.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
24. 24.Divide ₹200 between Aditya and Arjun in the ratio 1 : 4. How much does Arjun get (in ₹)?
25. 25.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
26. 26.Divide ₹196 between Saanvi and Diya in the ratio 3 : 4. How much does Diya get (in ₹)?
27. 27.The ratio of boys to girls in a class is 3 : 1. There are 18 boys. How many girls are there?
28. 28.Divide ₹780 between Farhan and Kabir in the ratio 9 : 4. How much does Farhan get (in ₹)?
29. 29.The ratio of boys to girls in a class is 1 : 8. There are 9 boys. How many girls are there?
30. 30.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
31. 31.The ratio of boys to girls in a class is 2 : 9. There are 4 boys. How many girls are there?
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.Divide ₹451 between Karan and Saanvi in the ratio 3 : 8. How much does Karan get (in ₹)?
34. 34.The ratio of boys to girls in a class is 5 : 7. There are 45 boys. How many girls are there?
35. 35.Divide ₹224 between Sneha and Isha in the ratio 3 : 5. How much does Sneha get (in ₹)?
36. 36.The ratio of boys to girls in a class is 8 : 5. There are 16 boys. How many girls are there?
37. 37.3 : 5 = 15 : ?
38. 38.Divide ₹448 between Ishaan and Saanvi in the ratio 1 : 7. How much does Saanvi get (in ₹)?
39. 39.The ratio of boys to girls in a class is 9 : 5. There are 54 boys. How many girls are there?
40. 40.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).

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