Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 60 · 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 ₹90 between Ishaan and Ananya in the ratio 2 : 1. How much does Ishaan get (in ₹)?
2. 2.The ratio of boys to girls in a class is 5 : 3. There are 45 boys. How many girls are there?
3. 3.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
4. 4.The ratio of boys to girls in a class is 5 : 2. There are 10 boys. How many girls are there?
5. 5.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
6. 6.The ratio of boys to girls in a class is 1 : 3. There are 2 boys. How many girls are there?
7. 7.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
8. 8.10 : 7 = 60 : ?
9. 9.Divide ₹387 between Tara and Saanvi in the ratio 4 : 5. How much does Saanvi get (in ₹)?
10. 10.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
11. 11.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
12. 12.The ratio of boys to girls in a class is 8 : 7. There are 80 boys. How many girls are there?
13. 13.Divide ₹330 between Rahul and Aditya in the ratio 5 : 6. How much does Aditya get (in ₹)?
14. 14.Divide ₹154 between Sneha and Arjun in the ratio 5 : 9. How much does Arjun get (in ₹)?
15. 15.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
16. 16.12 : 11 = 36 : ?
17. 17.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
18. 18.Divide ₹140 between Ishaan and Ananya in the ratio 3 : 7. How much does Ananya get (in ₹)?
19. 19.Divide ₹78 between Sneha and Arjun in the ratio 5 : 1. How much does Sneha get (in ₹)?
20. 20.Divide ₹290 between Manav and Isha in the ratio 4 : 1. How much does Manav get (in ₹)?
21. 21.Divide ₹594 between Aditya and Pooja in the ratio 2 : 9. How much does Aditya get (in ₹)?
22. 22.Divide ₹112 between Farhan and Manav in the ratio 1 : 7. How much does Farhan get (in ₹)?
23. 23.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
24. 24.Divide ₹224 between Arjun and Zoya in the ratio 5 : 3. How much does Zoya get (in ₹)?
25. 25.4 : 5 = 12 : ?
26. 26.The ratio of boys to girls in a class is 8 : 1. There are 64 boys. How many girls are there?
27. 27.Divide ₹188 between Ananya and Tara in the ratio 1 : 3. How much does Ananya get (in ₹)?
28. 28.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
29. 29.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
30. 30.Divide ₹315 between Diya and Saanvi in the ratio 1 : 6. How much does Saanvi get (in ₹)?
31. 31.Divide ₹90 between Priya and Vivaan in the ratio 1 : 8. How much does Vivaan get (in ₹)?
32. 32.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
33. 33.7 : 2 = 21 : ?
34. 34.The ratio of boys to girls in a class is 9 : 8. There are 36 boys. How many girls are there?
35. 35.Divide ₹138 between Ananya and Meera in the ratio 5 : 1. How much does Ananya get (in ₹)?
36. 36.11 : 13 = 88 : ?
37. 37.Divide ₹315 between Vivaan and Manav in the ratio 5 : 2. How much does Vivaan get (in ₹)?
38. 38.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
39. 39.Divide ₹322 between Arjun and Kabir in the ratio 6 : 1. How much does Arjun get (in ₹)?
40. 40.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).

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