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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 350 · 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.Rice at ₹40 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  2. 2.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.Rice at ₹49 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  4. 4.A jug has 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.Rice at ₹22 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  6. 6.A grocer mixes 6 kg of tea at ₹20 per kg with 3 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 8 kg of tea at ₹20 per kg with 6 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.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?
  10. 10.A grocer mixes 7 kg of tea at ₹37 per kg with 3 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹27 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  12. 12.A grocer mixes 4 kg of tea at ₹102 per kg with 6 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  14. 14.A 30-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  15. 15.A grocer mixes 10 kg of tea at ₹32 per kg with 12 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 11 kg of tea at ₹92 per kg with 11 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 2 kg of tea at ₹113 per kg with 2 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹33 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  19. 19.A grocer mixes 6 kg of tea at ₹40 per kg with 6 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 7 kg of tea at ₹118 per kg with 4 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 65-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  22. 22.A jug has 20 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?
  23. 23.A 28-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  24. 24.Rice at ₹45 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  25. 25.A 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  26. 26.A jug has 10 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?
  27. 27.A grocer mixes 2 kg of tea at ₹88 per kg with 2 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 2 kg of tea at ₹42 per kg with 3 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  30. 30.Rice at ₹43 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  31. 31.A 39-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  32. 32.A jug has 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.Rice at ₹55 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  34. 34.Rice at ₹34 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  35. 35.A grocer mixes 12 kg of tea at ₹114 per kg with 3 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.Rice at ₹22 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.A 56-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  39. 39.A grocer mixes 3 kg of tea at ₹105 per kg with 6 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹56 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?

Answer key

  1. 30
  2. 36
  3. 40
  4. 68
  5. 8
  6. 27
  7. 29
  8. 20
  9. 25
  10. 43
  11. 2
  12. 75
  13. 30
  14. 5
  15. 26
  16. 85
  17. 85
  18. 20
  19. 72
  20. 102
  21. 15
  22. 70
  23. 4
  24. 4
  25. 14
  26. 40
  27. 63
  28. 87
  29. 18
  30. 5
  31. 6
  32. 50
  33. 4
  34. 10
  35. 101
  36. 10
  37. 6
  38. 7
  39. 55
  40. 1

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