Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 821 · 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 ₹200 between Meera and Manav in the ratio 4 : 1. How much does Meera get (in ₹)?
2. 2.The ratio of boys to girls in a class is 4 : 9. There are 28 boys. How many girls are there?
3. 3.Divide ₹100 between Kavya and Isha in the ratio 4 : 1. How much does Isha get (in ₹)?
4. 4.Divide ₹228 between Saanvi and Diya in the ratio 3 : 1. How much does Saanvi get (in ₹)?
5. 5.Divide ₹333 between Manav and Aditya in the ratio 2 : 7. How much does Manav get (in ₹)?
6. 6.Divide ₹78 between Aditya and Meera in the ratio 7 : 6. How much does Meera get (in ₹)?
7. 7.3 : 2 = 6 : ?
8. 8.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
9. 9.Divide ₹70 between Meera and Saanvi in the ratio 5 : 2. How much does Saanvi get (in ₹)?
10. 10.Divide ₹90 between Vivaan and Ananya in the ratio 7 : 3. How much does Vivaan get (in ₹)?
11. 11.Divide ₹638 between Saanvi and Dev in the ratio 3 : 8. How much does Dev get (in ₹)?
12. 12.The ratio of boys to girls in a class is 2 : 9. There are 12 boys. How many girls are there?
13. 13.Divide ₹342 between Diya and Sneha in the ratio 4 : 5. How much does Diya get (in ₹)?
14. 14.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
15. 15.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
16. 16.9 : 12 = 63 : ?
17. 17.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
18. 18.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
19. 19.5 : 3 = 45 : ?
20. 20.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
21. 21.The ratio of boys to girls in a class is 9 : 4. There are 36 boys. How many girls are there?
22. 22.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
23. 23.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
24. 24.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
25. 25.11 : 8 = 33 : ?
26. 26.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
27. 27.The ratio of boys to girls in a class is 6 : 5. There are 42 boys. How many girls are there?
28. 28.Divide ₹161 between Kabir and Rohan in the ratio 6 : 1. How much does Rohan get (in ₹)?
29. 29.7 : 11 = 21 : ?
30. 30.The ratio of boys to girls in a class is 2 : 9. There are 10 boys. How many girls are there?
31. 31.The ratio of boys to girls in a class is 5 : 9. There are 50 boys. How many girls are there?
32. 32.Divide ₹288 between Zoya and Priya in the ratio 3 : 5. How much does Zoya get (in ₹)?
33. 33.Divide ₹217 between Pooja and Dev in the ratio 3 : 4. How much does Pooja get (in ₹)?
34. 34.Divide ₹156 between Isha and Ishaan in the ratio 4 : 9. How much does Isha get (in ₹)?
35. 35.Divide ₹87 between Ananya and Pooja in the ratio 2 : 1. How much does Ananya get (in ₹)?
36. 36.Divide ₹250 between Vivaan and Ishaan in the ratio 1 : 4. How much does Vivaan get (in ₹)?
37. 37.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
38. 38.Divide ₹517 between Dev and Priya in the ratio 2 : 9. How much does Priya get (in ₹)?
39. 39.10 : 9 = 40 : ?
40. 40.8 : 4 = 40 : ?

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