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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 688 · 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 ₹230 between Vivaan and Nisha in the ratio 3 : 7. How much does Vivaan get (in ₹)?
  2. 2.The ratio of boys to girls in a class is 4 : 7. There are 36 boys. How many girls are there?
  3. 3.4 : 10 = 16 : ?
  4. 4.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  5. 5.Divide ₹180 between Ananya and Isha in the ratio 2 : 7. How much does Ananya get (in ₹)?
  6. 6.5 : 13 = 15 : ?
  7. 7.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  8. 8.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  9. 9.Divide ₹656 between Rahul and Ananya in the ratio 7 : 9. How much does Ananya get (in ₹)?
  10. 10.The ratio of boys to girls in a class is 8 : 7. There are 72 boys. How many girls are there?
  11. 11.The ratio of boys to girls in a class is 8 : 7. There are 40 boys. How many girls are there?
  12. 12.The ratio of boys to girls in a class is 1 : 6. There are 5 boys. How many girls are there?
  13. 13.Divide ₹451 between Sneha and Priya in the ratio 8 : 3. How much does Priya get (in ₹)?
  14. 14.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  15. 15.The ratio of boys to girls in a class is 4 : 5. There are 40 boys. How many girls are there?
  16. 16.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  17. 17.3 : 12 = 12 : ?
  18. 18.Divide ₹231 between Ananya and Rohan in the ratio 6 : 1. How much does Rohan get (in ₹)?
  19. 19.Divide ₹182 between Zoya and Rohan in the ratio 4 : 9. How much does Zoya get (in ₹)?
  20. 20.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  21. 21.Divide ₹550 between Tara and Kabir in the ratio 8 : 3. How much does Kabir get (in ₹)?
  22. 22.Divide ₹50 between Karan and Manav in the ratio 9 : 1. How much does Karan get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 2 : 5. There are 6 boys. How many girls are there?
  24. 24.Divide ₹153 between Arjun and Priya in the ratio 8 : 1. How much does Priya get (in ₹)?
  25. 25.Divide ₹55 between Isha and Zoya in the ratio 5 : 6. How much does Zoya get (in ₹)?
  26. 26.Divide ₹324 between Nisha and Ishaan in the ratio 8 : 1. How much does Nisha get (in ₹)?
  27. 27.The ratio of boys to girls in a class is 7 : 8. There are 21 boys. How many girls are there?
  28. 28.The ratio of boys to girls in a class is 4 : 3. There are 40 boys. How many girls are there?
  29. 29.Divide ₹80 between Ananya and Isha in the ratio 3 : 2. How much does Isha get (in ₹)?
  30. 30.12 : 9 = 108 : ?
  31. 31.Divide ₹385 between Saanvi and Farhan in the ratio 8 : 3. How much does Farhan get (in ₹)?
  32. 32.9 : 13 = 63 : ?
  33. 33.8 : 2 = 32 : ?
  34. 34.Divide ₹145 between Nisha and Manav in the ratio 1 : 4. How much does Nisha get (in ₹)?
  35. 35.Divide ₹66 between Manav and Isha in the ratio 5 : 1. How much does Manav get (in ₹)?
  36. 36.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  37. 37.Divide ₹295 between Diya and Ananya in the ratio 4 : 1. How much does Ananya get (in ₹)?
  38. 38.Divide ₹168 between Sneha and Isha in the ratio 5 : 9. How much does Sneha get (in ₹)?
  39. 39.10 : 2 = 20 : ?
  40. 40.7 : 13 = 56 : ?

Answer key

  1. 69
  2. 63
  3. 40
  4. 16
  5. 40
  6. 39
  7. 175
  8. 32
  9. 369
  10. 63
  11. 35
  12. 30
  13. 123
  14. 27
  15. 50
  16. 81
  17. 48
  18. 33
  19. 56
  20. 64
  21. 150
  22. 45
  23. 15
  24. 17
  25. 30
  26. 288
  27. 24
  28. 30
  29. 32
  30. 81
  31. 105
  32. 91
  33. 8
  34. 29
  35. 55
  36. 24
  37. 59
  38. 60
  39. 4
  40. 104

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