Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 670 · 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 ₹656 between Saanvi and Kavya in the ratio 7 : 9. How much does Kavya get (in ₹)?
2. 2.The ratio of boys to girls in a class is 4 : 7. There are 32 boys. How many girls are there?
3. 3.Divide ₹275 between Vivaan and Pooja in the ratio 4 : 1. How much does Vivaan get (in ₹)?
4. 4.Divide ₹481 between Arjun and Tara in the ratio 7 : 6. How much does Arjun get (in ₹)?
5. 5.Find the third proportional to 2 and 8 (that is, 2 : 8 = 8 : ?).
6. 6.6 : 13 = 54 : ?
7. 7.Divide ₹132 between Pooja and Nisha in the ratio 2 : 1. How much does Nisha get (in ₹)?
8. 8.Divide ₹172 between Ananya and Saanvi in the ratio 1 : 3. How much does Ananya get (in ₹)?
9. 9.Divide ₹84 between Pooja and Aditya in the ratio 7 : 5. How much does Pooja get (in ₹)?
10. 10.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
11. 11.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
12. 12.Divide ₹413 between Ananya and Isha in the ratio 3 : 4. How much does Ananya get (in ₹)?
13. 13.The ratio of boys to girls in a class is 9 : 1. There are 72 boys. How many girls are there?
14. 14.The ratio of boys to girls in a class is 2 : 7. There are 20 boys. How many girls are there?
15. 15.12 : 3 = 60 : ?
16. 16.Divide ₹600 between Diya and Tara in the ratio 1 : 9. How much does Diya get (in ₹)?
17. 17.Divide ₹114 between Zoya and Karan in the ratio 1 : 5. How much does Zoya get (in ₹)?
18. 18.Divide ₹399 between Nisha and Pooja in the ratio 6 : 1. How much does Pooja get (in ₹)?
19. 19.Divide ₹119 between Isha and Pooja in the ratio 3 : 4. How much does Isha get (in ₹)?
20. 20.3 : 5 = 27 : ?
21. 21.Divide ₹231 between Kabir and Isha in the ratio 3 : 4. How much does Kabir get (in ₹)?
22. 22.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
23. 23.Divide ₹148 between Zoya and Pooja in the ratio 3 : 1. How much does Pooja get (in ₹)?
24. 24.The ratio of boys to girls in a class is 8 : 9. There are 40 boys. How many girls are there?
25. 25.8 : 13 = 56 : ?
26. 26.The ratio of boys to girls in a class is 4 : 9. There are 24 boys. How many girls are there?
27. 27.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
28. 28.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
29. 29.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
30. 30.Divide ₹324 between Pooja and Karan in the ratio 7 : 5. How much does Pooja get (in ₹)?
31. 31.Divide ₹464 between Tara and Sneha in the ratio 1 : 7. How much does Sneha get (in ₹)?
32. 32.Divide ₹528 between Ishaan and Aarav in the ratio 9 : 7. How much does Ishaan get (in ₹)?
33. 33.12 : 5 = 84 : ?
34. 34.Divide ₹456 between Meera and Rohan in the ratio 5 : 7. How much does Rohan get (in ₹)?
35. 35.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
36. 36.5 : 3 = 15 : ?
37. 37.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
38. 38.9 : 11 = 18 : ?
39. 39.The ratio of boys to girls in a class is 9 : 4. There are 63 boys. How many girls are there?
40. 40.The ratio of boys to girls in a class is 3 : 2. There are 21 boys. How many girls are there?

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