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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 377 · 40 questions
TalentJR

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).

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  1. 1.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  2. 2.Divide ₹90 between Aditya and Priya in the ratio 2 : 7. How much does Priya get (in ₹)?
  3. 3.Divide ₹360 between Vivaan and Pooja in the ratio 7 : 1. How much does Vivaan get (in ₹)?
  4. 4.The ratio of boys to girls in a class is 1 : 6. There are 3 boys. How many girls are there?
  5. 5.The ratio of boys to girls in a class is 2 : 3. There are 4 boys. How many girls are there?
  6. 6.8 : 2 = 16 : ?
  7. 7.The ratio of boys to girls in a class is 2 : 7. There are 16 boys. How many girls are there?
  8. 8.Divide ₹120 between Farhan and Diya in the ratio 2 : 3. How much does Farhan get (in ₹)?
  9. 9.7 : 8 = 28 : ?
  10. 10.The ratio of boys to girls in a class is 3 : 5. There are 30 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 2 : 7. There are 14 boys. How many girls are there?
  12. 12.Divide ₹312 between Priya and Tara in the ratio 9 : 4. How much does Priya get (in ₹)?
  13. 13.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  14. 14.The ratio of boys to girls in a class is 1 : 5. There are 8 boys. How many girls are there?
  15. 15.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  16. 16.11 : 8 = 88 : ?
  17. 17.4 : 13 = 8 : ?
  18. 18.Divide ₹378 between Tara and Farhan in the ratio 4 : 3. How much does Farhan get (in ₹)?
  19. 19.Divide ₹68 between Isha and Farhan in the ratio 3 : 1. How much does Farhan get (in ₹)?
  20. 20.12 : 13 = 72 : ?
  21. 21.Divide ₹130 between Priya and Ishaan in the ratio 7 : 3. How much does Ishaan get (in ₹)?
  22. 22.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  23. 23.4 : 8 = 16 : ?
  24. 24.The ratio of boys to girls in a class is 1 : 8. There are 5 boys. How many girls are there?
  25. 25.Divide ₹540 between Ananya and Aditya in the ratio 8 : 7. How much does Ananya get (in ₹)?
  26. 26.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  27. 27.Divide ₹196 between Rahul and Isha in the ratio 4 : 3. How much does Rahul get (in ₹)?
  28. 28.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  29. 29.3 : 5 = 21 : ?
  30. 30.6 : 12 = 18 : ?
  31. 31.Divide ₹588 between Vivaan and Pooja in the ratio 5 : 7. How much does Vivaan get (in ₹)?
  32. 32.2 : 15 = 16 : ?
  33. 33.6 : 4 = 24 : ?
  34. 34.4 : 9 = 36 : ?
  35. 35.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  36. 36.3 : 13 = 6 : ?
  37. 37.Divide ₹84 between Nisha and Sneha in the ratio 1 : 2. How much does Nisha get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 5 : 6. There are 50 boys. How many girls are there?
  39. 39.Divide ₹114 between Ananya and Arjun in the ratio 1 : 2. How much does Ananya get (in ₹)?
  40. 40.9 : 6 = 18 : ?

Answer key

  1. 150
  2. 70
  3. 315
  4. 18
  5. 6
  6. 4
  7. 56
  8. 48
  9. 32
  10. 50
  11. 49
  12. 216
  13. 27
  14. 40
  15. 63
  16. 64
  17. 26
  18. 162
  19. 17
  20. 78
  21. 39
  22. 18
  23. 32
  24. 40
  25. 288
  26. 80
  27. 112
  28. 54
  29. 35
  30. 36
  31. 245
  32. 120
  33. 16
  34. 81
  35. 32
  36. 26
  37. 28
  38. 60
  39. 38
  40. 12

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