Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 9 · 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 ₹420 between Arjun and Farhan in the ratio 5 : 7. How much does Farhan get (in ₹)?
2. 2.Divide ₹250 between Aarav and Karan in the ratio 1 : 4. How much does Karan get (in ₹)?
3. 3.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
4. 4.Divide ₹413 between Zoya and Karan in the ratio 1 : 6. How much does Karan get (in ₹)?
5. 5.Divide ₹611 between Tara and Farhan in the ratio 6 : 7. How much does Farhan get (in ₹)?
6. 6.12 : 5 = 72 : ?
7. 7.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
8. 8.Divide ₹440 between Arjun and Farhan in the ratio 5 : 3. How much does Arjun get (in ₹)?
9. 9.The ratio of boys to girls in a class is 1 : 9. There are 2 boys. How many girls are there?
10. 10.6 : 13 = 42 : ?
11. 11.Divide ₹110 between Farhan and Aditya in the ratio 4 : 7. How much does Aditya get (in ₹)?
12. 12.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
13. 13.The ratio of boys to girls in a class is 1 : 7. There are 4 boys. How many girls are there?
14. 14.The ratio of boys to girls in a class is 9 : 1. There are 36 boys. How many girls are there?
15. 15.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
16. 16.12 : 9 = 36 : ?
17. 17.Divide ₹231 between Rohan and Arjun in the ratio 5 : 2. How much does Rohan get (in ₹)?
18. 18.6 : 4 = 54 : ?
19. 19.Divide ₹459 between Diya and Arjun in the ratio 1 : 8. How much does Diya get (in ₹)?
20. 20.Divide ₹495 between Arjun and Isha in the ratio 6 : 5. How much does Isha get (in ₹)?
21. 21.The ratio of boys to girls in a class is 4 : 5. There are 12 boys. How many girls are there?
22. 22.Divide ₹210 between Meera and Farhan in the ratio 6 : 1. How much does Meera get (in ₹)?
23. 23.The ratio of boys to girls in a class is 1 : 3. There are 3 boys. How many girls are there?
24. 24.Divide ₹91 between Ananya and Farhan in the ratio 1 : 6. How much does Farhan get (in ₹)?
25. 25.The ratio of boys to girls in a class is 3 : 7. There are 21 boys. How many girls are there?
26. 26.Divide ₹168 between Karan and Kabir in the ratio 1 : 7. How much does Karan get (in ₹)?
27. 27.Divide ₹180 between Meera and Dev in the ratio 3 : 2. How much does Dev get (in ₹)?
28. 28.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
29. 29.The ratio of boys to girls in a class is 7 : 4. There are 63 boys. How many girls are there?
30. 30.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
31. 31.Divide ₹230 between Aditya and Diya in the ratio 7 : 3. How much does Aditya get (in ₹)?
32. 32.Divide ₹120 between Pooja and Ishaan in the ratio 1 : 7. How much does Pooja get (in ₹)?
33. 33.Divide ₹486 between Ananya and Zoya in the ratio 4 : 5. How much does Ananya get (in ₹)?
34. 34.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
35. 35.12 : 6 = 72 : ?
36. 36.Divide ₹121 between Pooja and Kabir in the ratio 7 : 4. How much does Pooja get (in ₹)?
37. 37.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
38. 38.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
39. 39.4 : 2 = 28 : ?
40. 40.The ratio of boys to girls in a class is 1 : 6. There are 4 boys. How many girls are there?

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