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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 584 · 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).

NameDateTime takenScore ___ / 40
  1. 1.6 : 2 = 30 : ?
  2. 2.7 : 12 = 42 : ?
  3. 3.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  4. 4.Find the third proportional to 3 and 6 (that is, 3 : 6 = 6 : ?).
  5. 5.12 : 6 = 48 : ?
  6. 6.Divide ₹308 between Aditya and Arjun in the ratio 6 : 5. How much does Arjun get (in ₹)?
  7. 7.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  8. 8.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  9. 9.Divide ₹380 between Ishaan and Tara in the ratio 3 : 7. How much does Tara get (in ₹)?
  10. 10.Divide ₹344 between Aarav and Vivaan in the ratio 5 : 3. How much does Vivaan get (in ₹)?
  11. 11.The ratio of boys to girls in a class is 3 : 4. There are 21 boys. How many girls are there?
  12. 12.Divide ₹527 between Vivaan and Ishaan in the ratio 9 : 8. How much does Ishaan get (in ₹)?
  13. 13.Divide ₹153 between Aarav and Tara in the ratio 9 : 8. How much does Aarav get (in ₹)?
  14. 14.9 : 11 = 27 : ?
  15. 15.Divide ₹80 between Rohan and Ananya in the ratio 1 : 3. How much does Ananya get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 5 : 6. There are 10 boys. How many girls are there?
  17. 17.The ratio of boys to girls in a class is 1 : 7. There are 10 boys. How many girls are there?
  18. 18.10 : 8 = 70 : ?
  19. 19.Find the third proportional to 3 and 12 (that is, 3 : 12 = 12 : ?).
  20. 20.Divide ₹340 between Farhan and Nisha in the ratio 9 : 1. How much does Farhan get (in ₹)?
  21. 21.The ratio of boys to girls in a class is 5 : 7. There are 40 boys. How many girls are there?
  22. 22.The ratio of boys to girls in a class is 2 : 5. There are 12 boys. How many girls are there?
  23. 23.2 : 13 = 18 : ?
  24. 24.Divide ₹611 between Manav and Arjun in the ratio 9 : 4. How much does Manav get (in ₹)?
  25. 25.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  26. 26.The ratio of boys to girls in a class is 2 : 5. There are 20 boys. How many girls are there?
  27. 27.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  28. 28.Find the third proportional to 3 and 15 (that is, 3 : 15 = 15 : ?).
  29. 29.9 : 11 = 81 : ?
  30. 30.Divide ₹520 between Aditya and Ananya in the ratio 7 : 3. How much does Ananya get (in ₹)?
  31. 31.The ratio of boys to girls in a class is 7 : 5. There are 56 boys. How many girls are there?
  32. 32.Divide ₹363 between Vivaan and Kabir in the ratio 4 : 7. How much does Vivaan get (in ₹)?
  33. 33.The ratio of boys to girls in a class is 3 : 2. There are 18 boys. How many girls are there?
  34. 34.Divide ₹170 between Priya and Diya in the ratio 4 : 1. How much does Priya get (in ₹)?
  35. 35.Divide ₹208 between Tara and Ishaan in the ratio 4 : 9. How much does Ishaan get (in ₹)?
  36. 36.11 : 15 = 33 : ?
  37. 37.10 : 12 = 70 : ?
  38. 38.4 : 9 = 8 : ?
  39. 39.The ratio of boys to girls in a class is 1 : 5. There are 2 boys. How many girls are there?
  40. 40.7 : 2 = 42 : ?

Answer key

  1. 10
  2. 72
  3. 96
  4. 12
  5. 24
  6. 140
  7. 24
  8. 64
  9. 266
  10. 129
  11. 28
  12. 248
  13. 81
  14. 33
  15. 60
  16. 12
  17. 70
  18. 56
  19. 48
  20. 306
  21. 56
  22. 30
  23. 117
  24. 423
  25. 28
  26. 50
  27. 128
  28. 75
  29. 99
  30. 156
  31. 40
  32. 132
  33. 12
  34. 136
  35. 144
  36. 45
  37. 84
  38. 18
  39. 10
  40. 12

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