Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 370 · 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.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
2. 2.4 : 3 = 20 : ?
3. 3.10 : 11 = 20 : ?
4. 4.Divide ₹232 between Saanvi and Pooja in the ratio 7 : 1. How much does Saanvi get (in ₹)?
5. 5.The ratio of boys to girls in a class is 2 : 3. There are 10 boys. How many girls are there?
6. 6.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
7. 7.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
8. 8.Divide ₹627 between Zoya and Vivaan in the ratio 3 : 8. How much does Zoya get (in ₹)?
9. 9.Divide ₹611 between Kabir and Priya in the ratio 5 : 8. How much does Priya get (in ₹)?
10. 10.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
11. 11.Divide ₹462 between Tara and Manav in the ratio 5 : 6. How much does Manav get (in ₹)?
12. 12.Divide ₹126 between Meera and Dev in the ratio 4 : 3. How much does Meera get (in ₹)?
13. 13.Divide ₹350 between Kabir and Zoya in the ratio 2 : 5. How much does Zoya get (in ₹)?
14. 14.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
15. 15.Divide ₹741 between Priya and Vivaan in the ratio 7 : 6. How much does Priya get (in ₹)?
16. 16.The ratio of boys to girls in a class is 7 : 1. There are 63 boys. How many girls are there?
17. 17.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
18. 18.3 : 12 = 24 : ?
19. 19.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
20. 20.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
21. 21.Divide ₹583 between Vivaan and Saanvi in the ratio 8 : 3. How much does Saanvi get (in ₹)?
22. 22.Divide ₹186 between Karan and Isha in the ratio 1 : 5. How much does Isha get (in ₹)?
23. 23.Divide ₹77 between Rahul and Manav in the ratio 5 : 2. How much does Rahul get (in ₹)?
24. 24.Divide ₹390 between Aarav and Isha in the ratio 7 : 8. How much does Isha get (in ₹)?
25. 25.Divide ₹184 between Pooja and Manav in the ratio 3 : 1. How much does Pooja get (in ₹)?
26. 26.7 : 14 = 49 : ?
27. 27.9 : 10 = 18 : ?
28. 28.5 : 9 = 40 : ?
29. 29.Divide ₹216 between Kavya and Vivaan in the ratio 8 : 1. How much does Kavya get (in ₹)?
30. 30.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
31. 31.Divide ₹77 between Kabir and Zoya in the ratio 4 : 7. How much does Zoya get (in ₹)?
32. 32.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
33. 33.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
34. 34.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
35. 35.The ratio of boys to girls in a class is 3 : 4. There are 6 boys. How many girls are there?
36. 36.Divide ₹128 between Aditya and Pooja in the ratio 7 : 9. How much does Pooja get (in ₹)?
37. 37.Divide ₹660 between Arjun and Karan in the ratio 2 : 9. How much does Karan get (in ₹)?
38. 38.11 : 6 = 44 : ?
39. 39.Divide ₹88 between Ishaan and Diya in the ratio 7 : 4. How much does Diya get (in ₹)?
40. 40.Divide ₹100 between Isha and Karan in the ratio 7 : 3. How much does Karan get (in ₹)?

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