Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 192 · 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 5 and 15 (that is, 5 : 15 = 15 : ?).
2. 2.Divide ₹340 between Kabir and Diya in the ratio 9 : 1. How much does Kabir get (in ₹)?
3. 3.Divide ₹608 between Saanvi and Arjun in the ratio 9 : 7. How much does Saanvi get (in ₹)?
4. 4.Divide ₹371 between Farhan and Pooja in the ratio 1 : 6. How much does Farhan get (in ₹)?
5. 5.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
6. 6.The ratio of boys to girls in a class is 3 : 5. There are 9 boys. How many girls are there?
7. 7.Divide ₹25 between Kavya and Aarav in the ratio 3 : 2. How much does Aarav get (in ₹)?
8. 8.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
9. 9.Divide ₹928 between Farhan and Kavya in the ratio 7 : 9. How much does Farhan get (in ₹)?
10. 10.Divide ₹464 between Aarav and Aditya in the ratio 7 : 9. How much does Aarav get (in ₹)?
11. 11.Divide ₹660 between Meera and Tara in the ratio 5 : 7. How much does Meera get (in ₹)?
12. 12.The ratio of boys to girls in a class is 5 : 6. There are 15 boys. How many girls are there?
13. 13.3 : 5 = 18 : ?
14. 14.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
15. 15.Divide ₹49 between Ananya and Manav in the ratio 1 : 6. How much does Ananya get (in ₹)?
16. 16.Divide ₹276 between Vivaan and Karan in the ratio 5 : 1. How much does Karan get (in ₹)?
17. 17.Divide ₹338 between Kavya and Priya in the ratio 4 : 9. How much does Priya get (in ₹)?
18. 18.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
19. 19.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
20. 20.The ratio of boys to girls in a class is 3 : 4. There are 24 boys. How many girls are there?
21. 21.Divide ₹69 between Meera and Priya in the ratio 2 : 1. How much does Priya get (in ₹)?
22. 22.8 : 11 = 24 : ?
23. 23.8 : 9 = 48 : ?
24. 24.Divide ₹208 between Diya and Farhan in the ratio 3 : 1. How much does Diya get (in ₹)?
25. 25.The ratio of boys to girls in a class is 5 : 7. There are 35 boys. How many girls are there?
26. 26.4 : 14 = 8 : ?
27. 27.The ratio of boys to girls in a class is 3 : 2. There are 18 boys. How many girls are there?
28. 28.Divide ₹256 between Priya and Diya in the ratio 3 : 5. How much does Diya get (in ₹)?
29. 29.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
30. 30.The ratio of boys to girls in a class is 4 : 7. There are 40 boys. How many girls are there?
31. 31.Divide ₹143 between Aditya and Tara in the ratio 5 : 6. How much does Tara get (in ₹)?
32. 32.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
33. 33.Divide ₹385 between Pooja and Aditya in the ratio 6 : 5. How much does Pooja get (in ₹)?
34. 34.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
35. 35.Divide ₹57 between Vivaan and Priya in the ratio 1 : 2. How much does Priya get (in ₹)?
36. 36.The ratio of boys to girls in a class is 3 : 8. There are 15 boys. How many girls are there?
37. 37.5 : 9 = 25 : ?
38. 38.Divide ₹429 between Zoya and Aditya in the ratio 7 : 6. How much does Zoya get (in ₹)?
39. 39.Divide ₹84 between Priya and Kabir in the ratio 1 : 6. How much does Kabir get (in ₹)?
40. 40.5 : 14 = 10 : ?

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