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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 633 · 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 Nisha and Priya in the ratio 1 : 2. How much does Nisha get (in ₹)?
  2. 2.Divide ₹156 between Rohan and Tara in the ratio 1 : 2. How much does Tara get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 3 : 7. There are 9 boys. How many girls are there?
  4. 4.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  5. 5.The ratio of boys to girls in a class is 5 : 2. There are 15 boys. How many girls are there?
  6. 6.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  7. 7.Divide ₹203 between Nisha and Rohan in the ratio 5 : 2. How much does Nisha get (in ₹)?
  8. 8.Divide ₹63 between Kabir and Ishaan in the ratio 4 : 3. How much does Ishaan get (in ₹)?
  9. 9.Divide ₹176 between Karan and Saanvi in the ratio 3 : 5. How much does Karan get (in ₹)?
  10. 10.Divide ₹295 between Vivaan and Tara in the ratio 2 : 3. How much does Vivaan get (in ₹)?
  11. 11.9 : 13 = 36 : ?
  12. 12.Divide ₹440 between Manav and Pooja in the ratio 4 : 7. How much does Manav get (in ₹)?
  13. 13.The ratio of boys to girls in a class is 5 : 6. There are 20 boys. How many girls are there?
  14. 14.Divide ₹90 between Priya and Diya in the ratio 8 : 1. How much does Diya get (in ₹)?
  15. 15.Divide ₹350 between Zoya and Manav in the ratio 2 : 5. How much does Zoya get (in ₹)?
  16. 16.Divide ₹378 between Rahul and Tara in the ratio 2 : 5. How much does Rahul get (in ₹)?
  17. 17.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  18. 18.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  19. 19.7 : 10 = 42 : ?
  20. 20.Divide ₹150 between Ananya and Aarav in the ratio 1 : 2. How much does Ananya get (in ₹)?
  21. 21.4 : 10 = 36 : ?
  22. 22.The ratio of boys to girls in a class is 7 : 6. There are 28 boys. How many girls are there?
  23. 23.Divide ₹470 between Pooja and Meera in the ratio 1 : 9. How much does Pooja get (in ₹)?
  24. 24.Divide ₹207 between Kabir and Farhan in the ratio 2 : 7. How much does Kabir get (in ₹)?
  25. 25.The ratio of boys to girls in a class is 7 : 8. There are 42 boys. How many girls are there?
  26. 26.Divide ₹81 between Zoya and Kavya in the ratio 1 : 8. How much does Kavya get (in ₹)?
  27. 27.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  28. 28.Divide ₹108 between Tara and Diya in the ratio 5 : 4. How much does Tara get (in ₹)?
  29. 29.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  30. 30.4 : 6 = 12 : ?
  31. 31.2 : 7 = 16 : ?
  32. 32.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  33. 33.Find the third proportional to 5 and 20 (that is, 5 : 20 = 20 : ?).
  34. 34.7 : 4 = 28 : ?
  35. 35.Find the third proportional to 9 and 18 (that is, 9 : 18 = 18 : ?).
  36. 36.Divide ₹400 between Aarav and Manav in the ratio 7 : 1. How much does Manav get (in ₹)?
  37. 37.8 : 11 = 16 : ?
  38. 38.3 : 12 = 18 : ?
  39. 39.Divide ₹616 between Arjun and Farhan in the ratio 4 : 7. How much does Arjun get (in ₹)?
  40. 40.12 : 3 = 24 : ?

Answer key

  1. 55
  2. 104
  3. 21
  4. 75
  5. 6
  6. 50
  7. 145
  8. 27
  9. 66
  10. 118
  11. 52
  12. 160
  13. 24
  14. 10
  15. 100
  16. 108
  17. 100
  18. 64
  19. 60
  20. 50
  21. 90
  22. 24
  23. 47
  24. 46
  25. 48
  26. 72
  27. 12
  28. 60
  29. 27
  30. 18
  31. 56
  32. 54
  33. 80
  34. 16
  35. 36
  36. 50
  37. 22
  38. 72
  39. 224
  40. 6

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