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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 656 · 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 ₹351 between Meera and Isha in the ratio 1 : 8. How much does Meera get (in ₹)?
  2. 2.Divide ₹195 between Kabir and Nisha in the ratio 8 : 7. How much does Nisha get (in ₹)?
  3. 3.4 : 7 = 36 : ?
  4. 4.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  5. 5.The ratio of boys to girls in a class is 8 : 1. There are 32 boys. How many girls are there?
  6. 6.The ratio of boys to girls in a class is 2 : 1. There are 4 boys. How many girls are there?
  7. 7.3 : 6 = 12 : ?
  8. 8.7 : 6 = 63 : ?
  9. 9.9 : 5 = 27 : ?
  10. 10.11 : 9 = 44 : ?
  11. 11.Divide ₹504 between Rahul and Diya in the ratio 9 : 5. How much does Diya get (in ₹)?
  12. 12.Divide ₹63 between Isha and Nisha in the ratio 6 : 1. How much does Isha get (in ₹)?
  13. 13.Divide ₹21 between Farhan and Kavya in the ratio 2 : 1. How much does Farhan get (in ₹)?
  14. 14.Divide ₹374 between Dev and Isha in the ratio 4 : 7. How much does Isha get (in ₹)?
  15. 15.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  16. 16.Divide ₹220 between Vivaan and Farhan in the ratio 8 : 3. How much does Vivaan get (in ₹)?
  17. 17.3 : 7 = 27 : ?
  18. 18.Divide ₹279 between Priya and Karan in the ratio 2 : 7. How much does Karan get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 3 : 4. There are 27 boys. How many girls are there?
  20. 20.The ratio of boys to girls in a class is 2 : 1. There are 10 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 6 : 5. There are 54 boys. How many girls are there?
  22. 22.4 : 6 = 12 : ?
  23. 23.The ratio of boys to girls in a class is 5 : 1. There are 45 boys. How many girls are there?
  24. 24.8 : 13 = 24 : ?
  25. 25.5 : 10 = 40 : ?
  26. 26.The ratio of boys to girls in a class is 3 : 1. There are 12 boys. How many girls are there?
  27. 27.Divide ₹754 between Saanvi and Tara in the ratio 6 : 7. How much does Tara get (in ₹)?
  28. 28.Divide ₹130 between Rohan and Saanvi in the ratio 1 : 4. How much does Saanvi get (in ₹)?
  29. 29.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  30. 30.10 : 15 = 20 : ?
  31. 31.Divide ₹539 between Arjun and Nisha in the ratio 3 : 8. How much does Arjun get (in ₹)?
  32. 32.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  33. 33.Find the third proportional to 9 and 27 (that is, 9 : 27 = 27 : ?).
  34. 34.Divide ₹378 between Zoya and Kavya in the ratio 5 : 2. How much does Zoya get (in ₹)?
  35. 35.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  36. 36.Divide ₹91 between Arjun and Nisha in the ratio 3 : 4. How much does Arjun get (in ₹)?
  37. 37.3 : 8 = 12 : ?
  38. 38.12 : 14 = 24 : ?
  39. 39.Divide ₹392 between Ananya and Rohan in the ratio 2 : 5. How much does Ananya get (in ₹)?
  40. 40.The ratio of boys to girls in a class is 4 : 5. There are 28 boys. How many girls are there?

Answer key

  1. 39
  2. 91
  3. 63
  4. 50
  5. 4
  6. 2
  7. 24
  8. 54
  9. 15
  10. 36
  11. 180
  12. 54
  13. 14
  14. 238
  15. 12
  16. 160
  17. 63
  18. 217
  19. 36
  20. 5
  21. 45
  22. 18
  23. 9
  24. 39
  25. 80
  26. 4
  27. 406
  28. 104
  29. 144
  30. 30
  31. 147
  32. 125
  33. 81
  34. 270
  35. 72
  36. 39
  37. 32
  38. 28
  39. 112
  40. 35

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