Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 14 · 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 ₹638 between Isha and Karan in the ratio 4 : 7. How much does Karan get (in ₹)?
2. 2.Divide ₹203 between Arjun and Zoya in the ratio 6 : 1. How much does Arjun get (in ₹)?
3. 3.Divide ₹235 between Dev and Aditya in the ratio 4 : 1. How much does Dev get (in ₹)?
4. 4.12 : 5 = 36 : ?
5. 5.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
6. 6.6 : 2 = 30 : ?
7. 7.Divide ₹308 between Zoya and Diya in the ratio 9 : 2. How much does Zoya get (in ₹)?
8. 8.Divide ₹378 between Tara and Ananya in the ratio 8 : 1. How much does Tara get (in ₹)?
9. 9.Divide ₹486 between Rohan and Isha in the ratio 5 : 4. How much does Isha get (in ₹)?
10. 10.The ratio of boys to girls in a class is 2 : 5. There are 4 boys. How many girls are there?
11. 11.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
12. 12.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
13. 13.Divide ₹344 between Ishaan and Kabir in the ratio 3 : 5. How much does Ishaan get (in ₹)?
14. 14.4 : 9 = 32 : ?
15. 15.6 : 3 = 36 : ?
16. 16.Divide ₹546 between Nisha and Karan in the ratio 5 : 9. How much does Nisha get (in ₹)?
17. 17.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
18. 18.Divide ₹477 between Pooja and Diya in the ratio 7 : 2. How much does Pooja get (in ₹)?
19. 19.Divide ₹385 between Ananya and Karan in the ratio 7 : 4. How much does Ananya get (in ₹)?
20. 20.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
21. 21.The ratio of boys to girls in a class is 8 : 5. There are 72 boys. How many girls are there?
22. 22.Divide ₹40 between Priya and Sneha in the ratio 3 : 1. How much does Sneha get (in ₹)?
23. 23.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
24. 24.The ratio of boys to girls in a class is 7 : 1. There are 63 boys. How many girls are there?
25. 25.Divide ₹160 between Zoya and Pooja in the ratio 1 : 9. How much does Pooja get (in ₹)?
26. 26.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
27. 27.4 : 9 = 8 : ?
28. 28.Divide ₹112 between Vivaan and Zoya in the ratio 4 : 3. How much does Vivaan get (in ₹)?
29. 29.The ratio of boys to girls in a class is 3 : 8. There are 6 boys. How many girls are there?
30. 30.Divide ₹104 between Isha and Meera in the ratio 3 : 1. How much does Meera get (in ₹)?
31. 31.8 : 15 = 64 : ?
32. 32.2 : 7 = 14 : ?
33. 33.The ratio of boys to girls in a class is 1 : 2. There are 9 boys. How many girls are there?
34. 34.The ratio of boys to girls in a class is 5 : 7. There are 10 boys. How many girls are there?
35. 35.Divide ₹180 between Zoya and Rohan in the ratio 8 : 1. How much does Zoya get (in ₹)?
36. 36.Divide ₹390 between Saanvi and Aarav in the ratio 8 : 7. How much does Aarav get (in ₹)?
37. 37.The ratio of boys to girls in a class is 8 : 7. There are 48 boys. How many girls are there?
38. 38.Divide ₹364 between Karan and Aditya in the ratio 5 : 9. How much does Aditya get (in ₹)?
39. 39.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
40. 40.The ratio of boys to girls in a class is 7 : 4. There are 56 boys. How many girls are there?

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