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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 170 · 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.Divide ₹540 between Priya and Sneha in the ratio 5 : 4. How much does Priya get (in ₹)?
  2. 2.Divide ₹96 between Ananya and Isha in the ratio 3 : 5. How much does Ananya get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 4 : 9. There are 12 boys. How many girls are there?
  4. 4.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  5. 5.Divide ₹372 between Priya and Nisha in the ratio 7 : 5. How much does Nisha get (in ₹)?
  6. 6.10 : 13 = 20 : ?
  7. 7.Divide ₹336 between Farhan and Tara in the ratio 1 : 6. How much does Farhan get (in ₹)?
  8. 8.4 : 2 = 36 : ?
  9. 9.Divide ₹184 between Farhan and Arjun in the ratio 3 : 1. How much does Arjun get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 2 : 9. There are 18 boys. How many girls are there?
  11. 11.Divide ₹390 between Aarav and Kavya in the ratio 8 : 7. How much does Aarav get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 6 : 7. There are 12 boys. How many girls are there?
  13. 13.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  14. 14.9 : 11 = 54 : ?
  15. 15.8 : 11 = 56 : ?
  16. 16.The ratio of boys to girls in a class is 4 : 7. There are 20 boys. How many girls are there?
  17. 17.3 : 7 = 6 : ?
  18. 18.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  19. 19.5 : 8 = 30 : ?
  20. 20.11 : 10 = 66 : ?
  21. 21.The ratio of boys to girls in a class is 4 : 7. There are 8 boys. How many girls are there?
  22. 22.Divide ₹176 between Kabir and Karan in the ratio 3 : 8. How much does Karan get (in ₹)?
  23. 23.11 : 10 = 77 : ?
  24. 24.4 : 6 = 20 : ?
  25. 25.Divide ₹172 between Ananya and Meera in the ratio 1 : 3. How much does Ananya get (in ₹)?
  26. 26.Divide ₹220 between Aarav and Zoya in the ratio 4 : 7. How much does Zoya get (in ₹)?
  27. 27.8 : 9 = 32 : ?
  28. 28.9 : 10 = 27 : ?
  29. 29.6 : 2 = 36 : ?
  30. 30.Divide ₹112 between Zoya and Kabir in the ratio 1 : 6. How much does Kabir get (in ₹)?
  31. 31.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  32. 32.Divide ₹378 between Arjun and Karan in the ratio 3 : 4. How much does Arjun get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  34. 34.6 : 7 = 54 : ?
  35. 35.Divide ₹30 between Vivaan and Arjun in the ratio 1 : 5. How much does Vivaan get (in ₹)?
  36. 36.10 : 8 = 30 : ?
  37. 37.11 : 9 = 22 : ?
  38. 38.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  39. 39.Divide ₹848 between Kabir and Manav in the ratio 9 : 7. How much does Manav get (in ₹)?
  40. 40.9 : 8 = 72 : ?

Answer key

  1. 300
  2. 36
  3. 27
  4. 27
  5. 155
  6. 26
  7. 48
  8. 18
  9. 46
  10. 81
  11. 208
  12. 14
  13. 24
  14. 66
  15. 77
  16. 35
  17. 14
  18. 32
  19. 48
  20. 60
  21. 14
  22. 128
  23. 70
  24. 30
  25. 43
  26. 140
  27. 36
  28. 30
  29. 12
  30. 96
  31. 64
  32. 162
  33. 30
  34. 63
  35. 5
  36. 24
  37. 18
  38. 8
  39. 371
  40. 64

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