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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 19 · 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.Divide ₹224 between Arjun and Ananya in the ratio 5 : 2. How much does Ananya get (in ₹)?
  2. 2.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  3. 3.11 : 8 = 77 : ?
  4. 4.Divide ₹258 between Priya and Diya in the ratio 5 : 1. How much does Priya get (in ₹)?
  5. 5.7 : 12 = 63 : ?
  6. 6.Divide ₹168 between Meera and Rahul in the ratio 5 : 7. How much does Meera get (in ₹)?
  7. 7.Divide ₹30 between Tara and Saanvi in the ratio 4 : 1. How much does Saanvi get (in ₹)?
  8. 8.The ratio of boys to girls in a class is 5 : 3. There are 15 boys. How many girls are there?
  9. 9.11 : 14 = 99 : ?
  10. 10.Find the third proportional to 9 and 45 (that is, 9 : 45 = 45 : ?).
  11. 11.Divide ₹322 between Pooja and Rahul in the ratio 6 : 1. How much does Pooja get (in ₹)?
  12. 12.4 : 9 = 16 : ?
  13. 13.The ratio of boys to girls in a class is 9 : 1. There are 63 boys. How many girls are there?
  14. 14.Find the third proportional to 4 and 20 (that is, 4 : 20 = 20 : ?).
  15. 15.4 : 8 = 24 : ?
  16. 16.Divide ₹153 between Ishaan and Tara in the ratio 5 : 4. How much does Tara get (in ₹)?
  17. 17.Divide ₹330 between Isha and Tara in the ratio 7 : 4. How much does Isha get (in ₹)?
  18. 18.Divide ₹345 between Aarav and Ananya in the ratio 7 : 8. How much does Aarav get (in ₹)?
  19. 19.Divide ₹126 between Diya and Karan in the ratio 5 : 2. How much does Diya get (in ₹)?
  20. 20.Divide ₹160 between Vivaan and Sneha in the ratio 3 : 7. How much does Vivaan get (in ₹)?
  21. 21.Find the third proportional to 2 and 10 (that is, 2 : 10 = 10 : ?).
  22. 22.Divide ₹350 between Meera and Aarav in the ratio 6 : 1. How much does Meera get (in ₹)?
  23. 23.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  24. 24.Find the third proportional to 7 and 21 (that is, 7 : 21 = 21 : ?).
  25. 25.11 : 4 = 88 : ?
  26. 26.Divide ₹48 between Pooja and Aarav in the ratio 5 : 1. How much does Aarav get (in ₹)?
  27. 27.2 : 7 = 16 : ?
  28. 28.7 : 9 = 35 : ?
  29. 29.Find the third proportional to 5 and 15 (that is, 5 : 15 = 15 : ?).
  30. 30.4 : 10 = 32 : ?
  31. 31.8 : 3 = 56 : ?
  32. 32.Divide ₹275 between Arjun and Rahul in the ratio 4 : 7. How much does Rahul get (in ₹)?
  33. 33.8 : 14 = 24 : ?
  34. 34.Divide ₹611 between Rohan and Rahul in the ratio 4 : 9. How much does Rahul get (in ₹)?
  35. 35.3 : 8 = 6 : ?
  36. 36.Find the third proportional to 3 and 9 (that is, 3 : 9 = 9 : ?).
  37. 37.Divide ₹128 between Arjun and Meera in the ratio 5 : 3. How much does Meera get (in ₹)?
  38. 38.Find the third proportional to 5 and 25 (that is, 5 : 25 = 25 : ?).
  39. 39.Divide ₹198 between Aditya and Farhan in the ratio 6 : 5. How much does Aditya get (in ₹)?
  40. 40.Divide ₹640 between Pooja and Sneha in the ratio 7 : 9. How much does Pooja get (in ₹)?

Answer key

  1. 64
  2. 96
  3. 56
  4. 215
  5. 108
  6. 70
  7. 6
  8. 9
  9. 126
  10. 225
  11. 276
  12. 36
  13. 7
  14. 100
  15. 48
  16. 68
  17. 210
  18. 161
  19. 90
  20. 48
  21. 50
  22. 300
  23. 175
  24. 63
  25. 32
  26. 8
  27. 56
  28. 45
  29. 45
  30. 80
  31. 21
  32. 175
  33. 42
  34. 423
  35. 16
  36. 27
  37. 48
  38. 125
  39. 108
  40. 280

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