Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 541 · 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 ₹343 between Rohan and Tara in the ratio 6 : 1. How much does Tara get (in ₹)?
2. 2.Divide ₹54 between Tara and Isha in the ratio 8 : 1. How much does Isha get (in ₹)?
3. 3.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
4. 4.5 : 12 = 40 : ?
5. 5.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
6. 6.The ratio of boys to girls in a class is 3 : 2. There are 30 boys. How many girls are there?
7. 7.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
8. 8.Divide ₹336 between Priya and Karan in the ratio 1 : 7. How much does Karan get (in ₹)?
9. 9.Divide ₹259 between Aditya and Ishaan in the ratio 4 : 3. How much does Aditya get (in ₹)?
10. 10.Divide ₹396 between Arjun and Ananya in the ratio 3 : 8. How much does Arjun get (in ₹)?
11. 11.Divide ₹121 between Manav and Kavya in the ratio 9 : 2. How much does Manav get (in ₹)?
12. 12.The ratio of boys to girls in a class is 9 : 1. There are 90 boys. How many girls are there?
13. 13.Divide ₹60 between Priya and Arjun in the ratio 3 : 7. How much does Arjun get (in ₹)?
14. 14.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
15. 15.5 : 4 = 15 : ?
16. 16.The ratio of boys to girls in a class is 1 : 6. There are 7 boys. How many girls are there?
17. 17.Divide ₹48 between Aarav and Rohan in the ratio 1 : 2. How much does Rohan get (in ₹)?
18. 18.11 : 10 = 33 : ?
19. 19.11 : 13 = 33 : ?
20. 20.The ratio of boys to girls in a class is 7 : 3. There are 28 boys. How many girls are there?
21. 21.6 : 14 = 30 : ?
22. 22.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
23. 23.Divide ₹385 between Meera and Sneha in the ratio 4 : 3. How much does Sneha get (in ₹)?
24. 24.Divide ₹378 between Vivaan and Meera in the ratio 1 : 6. How much does Vivaan get (in ₹)?
25. 25.Divide ₹147 between Vivaan and Dev in the ratio 2 : 1. How much does Dev get (in ₹)?
26. 26.8 : 2 = 56 : ?
27. 27.11 : 3 = 22 : ?
28. 28.The ratio of boys to girls in a class is 1 : 5. There are 3 boys. How many girls are there?
29. 29.10 : 3 = 40 : ?
30. 30.The ratio of boys to girls in a class is 2 : 7. There are 10 boys. How many girls are there?
31. 31.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
32. 32.Divide ₹144 between Farhan and Tara in the ratio 2 : 1. How much does Farhan get (in ₹)?
33. 33.Divide ₹51 between Diya and Meera in the ratio 2 : 1. How much does Diya get (in ₹)?
34. 34.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
35. 35.Divide ₹190 between Ananya and Diya in the ratio 1 : 9. How much does Diya get (in ₹)?
36. 36.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
37. 37.Divide ₹403 between Rohan and Nisha in the ratio 8 : 5. How much does Rohan get (in ₹)?
38. 38.Divide ₹288 between Kabir and Aarav in the ratio 3 : 5. How much does Kabir get (in ₹)?
39. 39.The ratio of boys to girls in a class is 3 : 4. There are 24 boys. How many girls are there?
40. 40.The ratio of boys to girls in a class is 7 : 1. There are 14 boys. How many girls are there?

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