Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 799 · 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 ₹520 between Ananya and Ishaan in the ratio 9 : 4. How much does Ishaan get (in ₹)?
2. 2.The ratio of boys to girls in a class is 3 : 5. There are 24 boys. How many girls are there?
3. 3.Divide ₹141 between Sneha and Vivaan in the ratio 2 : 1. How much does Vivaan get (in ₹)?
4. 4.Divide ₹169 between Manav and Zoya in the ratio 9 : 4. How much does Zoya get (in ₹)?
5. 5.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
6. 6.2 : 7 = 10 : ?
7. 7.Divide ₹153 between Nisha and Pooja in the ratio 2 : 1. How much does Nisha get (in ₹)?
8. 8.Divide ₹160 between Karan and Kabir in the ratio 7 : 3. How much does Kabir get (in ₹)?
9. 9.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
10. 10.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
11. 11.The ratio of boys to girls in a class is 7 : 1. There are 28 boys. How many girls are there?
12. 12.2 : 5 = 10 : ?
13. 13.3 : 11 = 24 : ?
14. 14.Divide ₹390 between Kavya and Rohan in the ratio 8 : 7. How much does Rohan get (in ₹)?
15. 15.Divide ₹144 between Farhan and Dev in the ratio 8 : 1. How much does Dev get (in ₹)?
16. 16.Divide ₹60 between Rohan and Nisha in the ratio 2 : 1. How much does Nisha get (in ₹)?
17. 17.Divide ₹345 between Dev and Rohan in the ratio 8 : 7. How much does Rohan get (in ₹)?
18. 18.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
19. 19.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
20. 20.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
21. 21.Divide ₹64 between Aditya and Nisha in the ratio 1 : 3. How much does Aditya get (in ₹)?
22. 22.Divide ₹98 between Pooja and Zoya in the ratio 3 : 4. How much does Pooja get (in ₹)?
23. 23.10 : 8 = 20 : ?
24. 24.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
25. 25.4 : 13 = 36 : ?
26. 26.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).
27. 27.Divide ₹513 between Saanvi and Aarav in the ratio 4 : 5. How much does Aarav get (in ₹)?
28. 28.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
29. 29.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?
30. 30.The ratio of boys to girls in a class is 3 : 4. There are 9 boys. How many girls are there?
31. 31.The ratio of boys to girls in a class is 4 : 1. There are 40 boys. How many girls are there?
32. 32.Divide ₹110 between Karan and Ishaan in the ratio 2 : 3. How much does Karan get (in ₹)?
33. 33.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
34. 34.The ratio of boys to girls in a class is 8 : 3. There are 16 boys. How many girls are there?
35. 35.Divide ₹150 between Kabir and Diya in the ratio 3 : 7. How much does Kabir get (in ₹)?
36. 36.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
37. 37.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
38. 38.Divide ₹380 between Kavya and Nisha in the ratio 7 : 3. How much does Kavya get (in ₹)?
39. 39.The ratio of boys to girls in a class is 1 : 2. There are 4 boys. How many girls are there?
40. 40.Divide ₹40 between Priya and Ishaan in the ratio 3 : 5. How much does Priya get (in ₹)?

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