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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 319 · 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 ₹165 between Diya and Priya in the ratio 1 : 2. How much does Priya get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 9 : 7. There are 63 boys. How many girls are there?
  3. 3.4 : 13 = 36 : ?
  4. 4.Divide ₹448 between Meera and Karan in the ratio 9 : 5. How much does Meera get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 7 : 9. There are 14 boys. How many girls are there?
  6. 6.Divide ₹99 between Manav and Rohan in the ratio 4 : 5. How much does Rohan get (in ₹)?
  7. 7.Divide ₹462 between Arjun and Meera in the ratio 9 : 5. How much does Meera get (in ₹)?
  8. 8.5 : 2 = 35 : ?
  9. 9.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  10. 10.Divide ₹198 between Aarav and Priya in the ratio 2 : 9. How much does Aarav get (in ₹)?
  11. 11.11 : 9 = 66 : ?
  12. 12.Divide ₹352 between Saanvi and Pooja in the ratio 5 : 6. How much does Pooja get (in ₹)?
  13. 13.9 : 3 = 54 : ?
  14. 14.Divide ₹656 between Dev and Isha in the ratio 7 : 9. How much does Dev get (in ₹)?
  15. 15.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  16. 16.Divide ₹80 between Diya and Kabir in the ratio 9 : 7. How much does Kabir get (in ₹)?
  17. 17.Divide ₹180 between Ananya and Meera in the ratio 2 : 1. How much does Ananya get (in ₹)?
  18. 18.Divide ₹140 between Diya and Zoya in the ratio 2 : 3. How much does Zoya get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 1 : 4. There are 4 boys. How many girls are there?
  20. 20.2 : 15 = 18 : ?
  21. 21.5 : 10 = 45 : ?
  22. 22.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  23. 23.Divide ₹198 between Aarav and Saanvi in the ratio 3 : 8. How much does Aarav get (in ₹)?
  24. 24.7 : 9 = 63 : ?
  25. 25.Divide ₹42 between Arjun and Aditya in the ratio 3 : 4. How much does Aditya get (in ₹)?
  26. 26.10 : 12 = 20 : ?
  27. 27.Divide ₹638 between Nisha and Saanvi in the ratio 6 : 5. How much does Saanvi get (in ₹)?
  28. 28.Find the third proportional to 8 and 40 (that is, 8 : 40 = 40 : ?).
  29. 29.Divide ₹245 between Kavya and Diya in the ratio 1 : 4. How much does Kavya get (in ₹)?
  30. 30.4 : 9 = 16 : ?
  31. 31.The ratio of boys to girls in a class is 5 : 7. There are 15 boys. How many girls are there?
  32. 32.The ratio of boys to girls in a class is 3 : 8. There are 27 boys. How many girls are there?
  33. 33.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  34. 34.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  35. 35.9 : 12 = 27 : ?
  36. 36.2 : 12 = 4 : ?
  37. 37.The ratio of boys to girls in a class is 4 : 9. There are 12 boys. How many girls are there?
  38. 38.Divide ₹260 between Karan and Pooja in the ratio 6 : 7. How much does Karan get (in ₹)?
  39. 39.The ratio of boys to girls in a class is 7 : 2. There are 28 boys. How many girls are there?
  40. 40.The ratio of boys to girls in a class is 3 : 1. There are 30 boys. How many girls are there?

Answer key

  1. 110
  2. 49
  3. 117
  4. 288
  5. 18
  6. 55
  7. 165
  8. 14
  9. 36
  10. 36
  11. 54
  12. 192
  13. 18
  14. 287
  15. 64
  16. 35
  17. 120
  18. 84
  19. 16
  20. 135
  21. 90
  22. 54
  23. 54
  24. 81
  25. 24
  26. 24
  27. 290
  28. 200
  29. 49
  30. 36
  31. 21
  32. 72
  33. 28
  34. 32
  35. 36
  36. 24
  37. 27
  38. 120
  39. 8
  40. 10

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