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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 971 · 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 ₹153 between Nisha and Dev in the ratio 5 : 4. How much does Nisha get (in ₹)?
  2. 2.9 : 12 = 72 : ?
  3. 3.The ratio of boys to girls in a class is 1 : 8. There are 7 boys. How many girls are there?
  4. 4.5 : 11 = 10 : ?
  5. 5.Find the third proportional to 6 and 18 (that is, 6 : 18 = 18 : ?).
  6. 6.Find the third proportional to 8 and 24 (that is, 8 : 24 = 24 : ?).
  7. 7.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  8. 8.Divide ₹110 between Saanvi and Kavya in the ratio 7 : 3. How much does Saanvi get (in ₹)?
  9. 9.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  10. 10.Find the third proportional to 6 and 12 (that is, 6 : 12 = 12 : ?).
  11. 11.Divide ₹180 between Ananya and Karan in the ratio 5 : 4. How much does Karan get (in ₹)?
  12. 12.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  13. 13.Divide ₹638 between Zoya and Dev in the ratio 6 : 5. How much does Zoya get (in ₹)?
  14. 14.12 : 9 = 60 : ?
  15. 15.Divide ₹374 between Rohan and Manav in the ratio 9 : 2. How much does Rohan get (in ₹)?
  16. 16.The ratio of boys to girls in a class is 3 : 4. There are 15 boys. How many girls are there?
  17. 17.Divide ₹297 between Isha and Aarav in the ratio 2 : 7. How much does Aarav get (in ₹)?
  18. 18.Divide ₹616 between Farhan and Diya in the ratio 9 : 5. How much does Farhan get (in ₹)?
  19. 19.Find the third proportional to 4 and 12 (that is, 4 : 12 = 12 : ?).
  20. 20.The ratio of boys to girls in a class is 5 : 9. There are 15 boys. How many girls are there?
  21. 21.The ratio of boys to girls in a class is 3 : 1. There are 27 boys. How many girls are there?
  22. 22.Find the third proportional to 4 and 8 (that is, 4 : 8 = 8 : ?).
  23. 23.Divide ₹360 between Isha and Rahul in the ratio 5 : 3. How much does Rahul get (in ₹)?
  24. 24.The ratio of boys to girls in a class is 3 : 7. There are 6 boys. How many girls are there?
  25. 25.12 : 13 = 84 : ?
  26. 26.11 : 13 = 55 : ?
  27. 27.Divide ₹279 between Ishaan and Ananya in the ratio 5 : 4. How much does Ananya get (in ₹)?
  28. 28.6 : 13 = 54 : ?
  29. 29.Divide ₹364 between Vivaan and Diya in the ratio 9 : 5. How much does Vivaan get (in ₹)?
  30. 30.The ratio of boys to girls in a class is 1 : 4. There are 3 boys. How many girls are there?
  31. 31.Divide ₹768 between Vivaan and Nisha in the ratio 9 : 7. How much does Vivaan get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 1 : 7. There are 3 boys. How many girls are there?
  33. 33.12 : 3 = 96 : ?
  34. 34.Divide ₹480 between Kavya and Zoya in the ratio 5 : 3. How much does Kavya get (in ₹)?
  35. 35.8 : 6 = 24 : ?
  36. 36.The ratio of boys to girls in a class is 3 : 2. There are 27 boys. How many girls are there?
  37. 37.Divide ₹539 between Karan and Ishaan in the ratio 8 : 3. How much does Ishaan get (in ₹)?
  38. 38.Divide ₹477 between Isha and Rohan in the ratio 2 : 7. How much does Rohan get (in ₹)?
  39. 39.Divide ₹182 between Tara and Meera in the ratio 5 : 2. How much does Tara get (in ₹)?
  40. 40.Divide ₹88 between Kabir and Ishaan in the ratio 9 : 2. How much does Kabir get (in ₹)?

Answer key

  1. 85
  2. 96
  3. 56
  4. 22
  5. 54
  6. 72
  7. 63
  8. 77
  9. 100
  10. 24
  11. 80
  12. 175
  13. 348
  14. 45
  15. 306
  16. 20
  17. 231
  18. 396
  19. 36
  20. 27
  21. 9
  22. 16
  23. 135
  24. 14
  25. 91
  26. 65
  27. 124
  28. 117
  29. 234
  30. 12
  31. 432
  32. 21
  33. 24
  34. 300
  35. 18
  36. 18
  37. 147
  38. 371
  39. 130
  40. 72

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