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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 462 · 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. 1.4 : 9 = 8 : ?
  2. 2.Divide ₹546 between Arjun and Saanvi in the ratio 9 : 5. How much does Arjun get (in ₹)?
  3. 3.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  4. 4.Divide ₹176 between Farhan and Isha in the ratio 4 : 7. How much does Isha get (in ₹)?
  5. 5.The ratio of boys to girls in a class is 9 : 2. There are 90 boys. How many girls are there?
  6. 6.Divide ₹63 between Isha and Zoya in the ratio 2 : 7. How much does Isha get (in ₹)?
  7. 7.7 : 5 = 14 : ?
  8. 8.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  9. 9.Divide ₹144 between Priya and Manav in the ratio 9 : 7. How much does Priya get (in ₹)?
  10. 10.2 : 10 = 8 : ?
  11. 11.Divide ₹546 between Isha and Tara in the ratio 4 : 9. How much does Isha get (in ₹)?
  12. 12.The ratio of boys to girls in a class is 1 : 7. There are 4 boys. How many girls are there?
  13. 13.6 : 3 = 12 : ?
  14. 14.Divide ₹130 between Karan and Priya in the ratio 7 : 3. How much does Karan get (in ₹)?
  15. 15.7 : 13 = 63 : ?
  16. 16.The ratio of boys to girls in a class is 4 : 7. There are 40 boys. How many girls are there?
  17. 17.Divide ₹81 between Vivaan and Meera in the ratio 7 : 2. How much does Vivaan get (in ₹)?
  18. 18.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  19. 19.Divide ₹57 between Manav and Aarav in the ratio 1 : 2. How much does Manav get (in ₹)?
  20. 20.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  21. 21.5 : 10 = 35 : ?
  22. 22.Divide ₹65 between Meera and Diya in the ratio 5 : 8. How much does Meera get (in ₹)?
  23. 23.Divide ₹850 between Diya and Vivaan in the ratio 8 : 9. How much does Diya get (in ₹)?
  24. 24.Divide ₹115 between Vivaan and Meera in the ratio 3 : 2. How much does Vivaan get (in ₹)?
  25. 25.5 : 8 = 15 : ?
  26. 26.Divide ₹75 between Kabir and Aarav in the ratio 2 : 1. How much does Kabir get (in ₹)?
  27. 27.Find the third proportional to 2 and 6 (that is, 2 : 6 = 6 : ?).
  28. 28.Divide ₹60 between Kabir and Ananya in the ratio 4 : 1. How much does Ananya get (in ₹)?
  29. 29.4 : 13 = 16 : ?
  30. 30.6 : 9 = 36 : ?
  31. 31.Divide ₹40 between Rohan and Zoya in the ratio 5 : 3. How much does Rohan get (in ₹)?
  32. 32.11 : 10 = 99 : ?
  33. 33.2 : 9 = 4 : ?
  34. 34.Divide ₹264 between Arjun and Nisha in the ratio 3 : 8. How much does Arjun get (in ₹)?
  35. 35.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  36. 36.6 : 2 = 24 : ?
  37. 37.Divide ₹56 between Rahul and Karan in the ratio 1 : 6. How much does Rahul get (in ₹)?
  38. 38.6 : 3 = 18 : ?
  39. 39.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  40. 40.2 : 8 = 12 : ?

Answer key

  1. 18
  2. 351
  3. 9
  4. 112
  5. 20
  6. 14
  7. 10
  8. 24
  9. 81
  10. 40
  11. 168
  12. 28
  13. 6
  14. 91
  15. 117
  16. 70
  17. 63
  18. 96
  19. 19
  20. 8
  21. 70
  22. 25
  23. 400
  24. 69
  25. 24
  26. 50
  27. 18
  28. 12
  29. 52
  30. 54
  31. 25
  32. 90
  33. 18
  34. 72
  35. 16
  36. 8
  37. 8
  38. 9
  39. 128
  40. 48

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