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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 296 · 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. 1.10 : 2 = 90 : ?
  2. 2.Divide ₹195 between Arjun and Isha in the ratio 9 : 4. How much does Arjun get (in ₹)?
  3. 3.Find the third proportional to 2 and 4 (that is, 2 : 4 = 4 : ?).
  4. 4.Divide ₹756 between Priya and Pooja in the ratio 5 : 9. How much does Pooja get (in ₹)?
  5. 5.Divide ₹84 between Zoya and Diya in the ratio 4 : 3. How much does Zoya get (in ₹)?
  6. 6.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  7. 7.Find the third proportional to 8 and 16 (that is, 8 : 16 = 16 : ?).
  8. 8.The ratio of boys to girls in a class is 5 : 3. There are 20 boys. How many girls are there?
  9. 9.Divide ₹338 between Nisha and Farhan in the ratio 9 : 4. How much does Farhan get (in ₹)?
  10. 10.Divide ₹336 between Aditya and Priya in the ratio 1 : 6. How much does Priya get (in ₹)?
  11. 11.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  12. 12.10 : 8 = 90 : ?
  13. 13.Divide ₹154 between Pooja and Ishaan in the ratio 7 : 4. How much does Pooja get (in ₹)?
  14. 14.The ratio of boys to girls in a class is 7 : 8. There are 70 boys. How many girls are there?
  15. 15.2 : 12 = 18 : ?
  16. 16.Divide ₹294 between Saanvi and Farhan in the ratio 3 : 4. How much does Farhan get (in ₹)?
  17. 17.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  18. 18.Divide ₹290 between Sneha and Aarav in the ratio 3 : 2. How much does Aarav get (in ₹)?
  19. 19.The ratio of boys to girls in a class is 7 : 3. There are 49 boys. How many girls are there?
  20. 20.Divide ₹99 between Meera and Rohan in the ratio 8 : 1. How much does Meera get (in ₹)?
  21. 21.Divide ₹176 between Ishaan and Priya in the ratio 3 : 8. How much does Ishaan get (in ₹)?
  22. 22.Divide ₹484 between Meera and Aarav in the ratio 2 : 9. How much does Aarav get (in ₹)?
  23. 23.7 : 13 = 49 : ?
  24. 24.7 : 4 = 14 : ?
  25. 25.Divide ₹160 between Dev and Arjun in the ratio 9 : 1. How much does Dev get (in ₹)?
  26. 26.3 : 11 = 24 : ?
  27. 27.Divide ₹348 between Meera and Aarav in the ratio 5 : 1. How much does Meera get (in ₹)?
  28. 28.Divide ₹60 between Dev and Meera in the ratio 2 : 1. How much does Meera get (in ₹)?
  29. 29.Divide ₹48 between Aditya and Priya in the ratio 1 : 2. How much does Aditya get (in ₹)?
  30. 30.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  31. 31.The ratio of boys to girls in a class is 5 : 7. There are 50 boys. How many girls are there?
  32. 32.Divide ₹286 between Saanvi and Ananya in the ratio 2 : 9. How much does Saanvi get (in ₹)?
  33. 33.3 : 11 = 21 : ?
  34. 34.Divide ₹80 between Pooja and Priya in the ratio 2 : 3. How much does Priya get (in ₹)?
  35. 35.The ratio of boys to girls in a class is 1 : 9. There are 10 boys. How many girls are there?
  36. 36.7 : 8 = 14 : ?
  37. 37.Divide ₹663 between Arjun and Kavya in the ratio 5 : 8. How much does Kavya get (in ₹)?
  38. 38.The ratio of boys to girls in a class is 8 : 7. There are 16 boys. How many girls are there?
  39. 39.2 : 14 = 6 : ?
  40. 40.Find the third proportional to 7 and 28 (that is, 7 : 28 = 28 : ?).

Answer key

  1. 18
  2. 135
  3. 8
  4. 486
  5. 48
  6. 50
  7. 32
  8. 12
  9. 104
  10. 288
  11. 63
  12. 72
  13. 98
  14. 80
  15. 108
  16. 168
  17. 144
  18. 116
  19. 21
  20. 88
  21. 48
  22. 396
  23. 91
  24. 8
  25. 144
  26. 88
  27. 290
  28. 20
  29. 16
  30. 24
  31. 70
  32. 52
  33. 77
  34. 48
  35. 90
  36. 16
  37. 408
  38. 14
  39. 42
  40. 112

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