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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 359 · 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 ₹517 between Saanvi and Manav in the ratio 9 : 2. How much does Manav get (in ₹)?
  2. 2.4 : 7 = 16 : ?
  3. 3.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  4. 4.The ratio of boys to girls in a class is 5 : 7. There are 15 boys. How many girls are there?
  5. 5.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  6. 6.7 : 5 = 49 : ?
  7. 7.Divide ₹15 between Dev and Manav in the ratio 2 : 1. How much does Dev get (in ₹)?
  8. 8.Divide ₹342 between Ishaan and Priya in the ratio 7 : 2. How much does Priya get (in ₹)?
  9. 9.Divide ₹396 between Aarav and Kavya in the ratio 5 : 6. How much does Aarav get (in ₹)?
  10. 10.Divide ₹198 between Meera and Priya in the ratio 1 : 8. How much does Meera get (in ₹)?
  11. 11.Divide ₹363 between Arjun and Karan in the ratio 9 : 2. How much does Karan get (in ₹)?
  12. 12.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  13. 13.Divide ₹104 between Sneha and Kavya in the ratio 6 : 7. How much does Kavya get (in ₹)?
  14. 14.Divide ₹294 between Arjun and Nisha in the ratio 4 : 3. How much does Arjun get (in ₹)?
  15. 15.Divide ₹132 between Kabir and Ananya in the ratio 9 : 2. How much does Kabir get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 5 : 3. There are 40 boys. How many girls are there?
  17. 17.8 : 4 = 72 : ?
  18. 18.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  19. 19.4 : 3 = 36 : ?
  20. 20.The ratio of boys to girls in a class is 2 : 1. There are 8 boys. How many girls are there?
  21. 21.Divide ₹212 between Meera and Pooja in the ratio 1 : 3. How much does Meera get (in ₹)?
  22. 22.Divide ₹728 between Kabir and Rohan in the ratio 9 : 5. How much does Kabir get (in ₹)?
  23. 23.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  24. 24.Find the third proportional to 6 and 30 (that is, 6 : 30 = 30 : ?).
  25. 25.Divide ₹250 between Kavya and Arjun in the ratio 7 : 3. How much does Arjun get (in ₹)?
  26. 26.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  27. 27.5 : 8 = 10 : ?
  28. 28.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  29. 29.Divide ₹217 between Aditya and Isha in the ratio 3 : 4. How much does Aditya get (in ₹)?
  30. 30.Divide ₹140 between Meera and Arjun in the ratio 4 : 1. How much does Meera get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 1 : 3. There are 6 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 6 : 7. There are 18 boys. How many girls are there?
  33. 33.Divide ₹522 between Pooja and Aarav in the ratio 4 : 5. How much does Pooja get (in ₹)?
  34. 34.Divide ₹135 between Nisha and Ananya in the ratio 2 : 3. How much does Ananya get (in ₹)?
  35. 35.Divide ₹117 between Kabir and Pooja in the ratio 1 : 8. How much does Kabir get (in ₹)?
  36. 36.5 : 2 = 40 : ?
  37. 37.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  38. 38.5 : 14 = 25 : ?
  39. 39.6 : 9 = 36 : ?
  40. 40.Divide ₹396 between Aarav and Priya in the ratio 4 : 7. How much does Priya get (in ₹)?

Answer key

  1. 94
  2. 28
  3. 36
  4. 21
  5. 54
  6. 35
  7. 10
  8. 76
  9. 180
  10. 22
  11. 66
  12. 48
  13. 56
  14. 168
  15. 108
  16. 24
  17. 36
  18. 27
  19. 27
  20. 4
  21. 53
  22. 468
  23. 75
  24. 150
  25. 75
  26. 12
  27. 16
  28. 16
  29. 93
  30. 112
  31. 18
  32. 21
  33. 232
  34. 81
  35. 13
  36. 16
  37. 64
  38. 70
  39. 54
  40. 252

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