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Ratio and Proportion Worksheet

Quantitative aptitude lesson 8: Ratio and proportion · Set 609 · 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 ₹198 between Vivaan and Priya in the ratio 3 : 8. How much does Priya get (in ₹)?
  2. 2.10 : 5 = 80 : ?
  3. 3.The ratio of boys to girls in a class is 3 : 2. There are 12 boys. How many girls are there?
  4. 4.7 : 13 = 14 : ?
  5. 5.Find the third proportional to 8 and 32 (that is, 8 : 32 = 32 : ?).
  6. 6.Divide ₹600 between Vivaan and Nisha in the ratio 9 : 1. How much does Vivaan get (in ₹)?
  7. 7.Find the third proportional to 4 and 16 (that is, 4 : 16 = 16 : ?).
  8. 8.Find the third proportional to 7 and 35 (that is, 7 : 35 = 35 : ?).
  9. 9.8 : 14 = 56 : ?
  10. 10.Divide ₹105 between Rohan and Tara in the ratio 6 : 1. How much does Tara get (in ₹)?
  11. 11.Find the third proportional to 9 and 36 (that is, 9 : 36 = 36 : ?).
  12. 12.The ratio of boys to girls in a class is 9 : 5. There are 72 boys. How many girls are there?
  13. 13.Find the third proportional to 6 and 24 (that is, 6 : 24 = 24 : ?).
  14. 14.Divide ₹48 between Vivaan and Dev in the ratio 1 : 2. How much does Vivaan get (in ₹)?
  15. 15.Divide ₹126 between Rohan and Farhan in the ratio 2 : 1. How much does Farhan get (in ₹)?
  16. 16.Find the third proportional to 5 and 10 (that is, 5 : 10 = 10 : ?).
  17. 17.Divide ₹663 between Diya and Sneha in the ratio 6 : 7. How much does Diya get (in ₹)?
  18. 18.Divide ₹99 between Meera and Kavya in the ratio 5 : 6. How much does Meera get (in ₹)?
  19. 19.Divide ₹85 between Dev and Karan in the ratio 3 : 2. How much does Dev get (in ₹)?
  20. 20.4 : 12 = 24 : ?
  21. 21.Divide ₹533 between Ananya and Rahul in the ratio 4 : 9. How much does Rahul get (in ₹)?
  22. 22.Divide ₹319 between Priya and Tara in the ratio 2 : 9. How much does Priya get (in ₹)?
  23. 23.The ratio of boys to girls in a class is 7 : 3. There are 49 boys. How many girls are there?
  24. 24.Find the third proportional to 7 and 14 (that is, 7 : 14 = 14 : ?).
  25. 25.Divide ₹374 between Diya and Kavya in the ratio 8 : 3. How much does Kavya get (in ₹)?
  26. 26.2 : 7 = 10 : ?
  27. 27.5 : 6 = 25 : ?
  28. 28.The ratio of boys to girls in a class is 7 : 5. There are 63 boys. How many girls are there?
  29. 29.9 : 8 = 18 : ?
  30. 30.The ratio of boys to girls in a class is 1 : 5. There are 10 boys. How many girls are there?
  31. 31.Divide ₹153 between Meera and Rahul in the ratio 8 : 1. How much does Meera get (in ₹)?
  32. 32.The ratio of boys to girls in a class is 1 : 5. There are 9 boys. How many girls are there?
  33. 33.Divide ₹637 between Isha and Meera in the ratio 5 : 8. How much does Meera get (in ₹)?
  34. 34.Divide ₹72 between Tara and Farhan in the ratio 1 : 3. How much does Farhan get (in ₹)?
  35. 35.Divide ₹517 between Nisha and Meera in the ratio 7 : 4. How much does Meera get (in ₹)?
  36. 36.Divide ₹220 between Dev and Kabir in the ratio 4 : 1. How much does Kabir get (in ₹)?
  37. 37.Divide ₹128 between Vivaan and Tara in the ratio 5 : 3. How much does Vivaan get (in ₹)?
  38. 38.Divide ₹130 between Sneha and Kavya in the ratio 7 : 3. How much does Kavya get (in ₹)?
  39. 39.Divide ₹70 between Dev and Saanvi in the ratio 6 : 1. How much does Saanvi get (in ₹)?
  40. 40.Divide ₹280 between Sneha and Aditya in the ratio 2 : 3. How much does Sneha get (in ₹)?

Answer key

  1. 144
  2. 40
  3. 8
  4. 26
  5. 128
  6. 540
  7. 64
  8. 175
  9. 98
  10. 15
  11. 144
  12. 40
  13. 96
  14. 16
  15. 42
  16. 20
  17. 306
  18. 45
  19. 51
  20. 72
  21. 369
  22. 58
  23. 21
  24. 28
  25. 102
  26. 35
  27. 30
  28. 45
  29. 16
  30. 50
  31. 136
  32. 45
  33. 392
  34. 54
  35. 188
  36. 44
  37. 80
  38. 39
  39. 10
  40. 112

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