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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 163 · 40 questions
TalentJR

The method (Alligation cross): Alligation: cheaper : dearer = (dearer price − mix price) : (mix price − cheaper price). Mix price = total cost ÷ total quantity. Adding water: the milk stays the same — use it to find the new water. Percent in a mix = amount of that thing ÷ total × 100.

NameDateTime takenScore ___ / 40
  1. 1.A grocer mixes 5 kg of tea at ₹100 per kg with 10 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 12 kg of tea at ₹34 per kg with 6 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹21 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.Rice at ₹35 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  5. 5.A jug has 20 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.A 30-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  7. 7.A jug has 20 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.Rice at ₹76 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  9. 9.Rice at ₹42 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  10. 10.A 25-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  11. 11.A grocer mixes 4 kg of tea at ₹53 per kg with 10 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 8 kg of tea at ₹70 per kg with 12 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹42 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  14. 14.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A grocer mixes 3 kg of tea at ₹25 per kg with 3 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 28-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  17. 17.A jug has 20 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.Rice at ₹70 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  19. 19.A jug has 50 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.Rice at ₹39 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  22. 22.A grocer mixes 6 kg of tea at ₹33 per kg with 10 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A jug has 40 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A grocer mixes 10 kg of tea at ₹76 per kg with 4 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A grocer mixes 2 kg of tea at ₹106 per kg with 2 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 4 kg of tea at ₹86 per kg with 6 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹65 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  29. 29.A jug has 40 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A grocer mixes 4 kg of tea at ₹65 per kg with 2 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  32. 32.A grocer mixes 3 kg of tea at ₹73 per kg with 2 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 3 kg of tea at ₹96 per kg with 4 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  35. 35.A 30-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  36. 36.Rice at ₹73 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  37. 37.A grocer mixes 8 kg of tea at ₹90 per kg with 10 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹23 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  39. 39.A grocer mixes 4 kg of tea at ₹105 per kg with 12 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹29 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?

Answer key

  1. 78
  2. 32
  3. 18
  4. 3
  5. 28
  6. 15
  7. 55
  8. 21
  9. 5
  10. 10
  11. 73
  12. 52
  13. 9
  14. 50
  15. 34
  16. 16
  17. 52
  18. 2
  19. 50
  20. 25
  21. 4
  22. 83
  23. 60
  24. 80
  25. 25
  26. 76
  27. 95
  28. 6
  29. 20
  30. 59
  31. 3
  32. 63
  33. 92
  34. 4
  35. 24
  36. 21
  37. 80
  38. 12
  39. 108
  40. 18

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