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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 488 · 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 ₹60 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  2. 2.A grocer mixes 5 kg of tea at ₹66 per kg with 5 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 54-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  4. 4.Rice at ₹72 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  5. 5.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.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?
  7. 7.A 20-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  8. 8.A grocer mixes 11 kg of tea at ₹58 per kg with 11 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹27 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  10. 10.A 42-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  11. 11.Rice at ₹50 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  12. 12.Rice at ₹56 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  13. 13.A grocer mixes 9 kg of tea at ₹22 per kg with 2 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹71 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  15. 15.A grocer mixes 8 kg of tea at ₹23 per kg with 8 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹29 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  17. 17.A grocer mixes 9 kg of tea at ₹21 per kg with 9 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 10 kg of tea at ₹26 per kg with 10 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 3 kg of tea at ₹23 per kg with 4 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 24-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  21. 21.Rice at ₹76 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  22. 22.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  23. 23.Rice at ₹41 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.A grocer mixes 2 kg of tea at ₹29 per kg with 2 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 4 kg of tea at ₹75 per kg with 4 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 7 kg of tea at ₹40 per kg with 7 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹79 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  29. 29.A jug has 25 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?
  30. 30.A grocer mixes 8 kg of tea at ₹95 per kg with 8 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹23 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  32. 32.Rice at ₹20 per kg is mixed with rice at ₹24 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  33. 33.A grocer mixes 5 kg of tea at ₹104 per kg with 5 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹26 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  35. 35.Rice at ₹26 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  36. 36.Rice at ₹36 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  37. 37.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?
  38. 38.A grocer mixes 3 kg of tea at ₹25 per kg with 2 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 11 kg of tea at ₹24 per kg with 11 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 6
  2. 49
  3. 12
  4. 1
  5. 50
  6. 20
  7. 8
  8. 73
  9. 12
  10. 12
  11. 4
  12. 21
  13. 36
  14. 8
  15. 68
  16. 10
  17. 53
  18. 59
  19. 47
  20. 3
  21. 4
  22. 9
  23. 20
  24. 75
  25. 51
  26. 68
  27. 39
  28. 8
  29. 50
  30. 102
  31. 7
  32. 5
  33. 95
  34. 8
  35. 12
  36. 4
  37. 55
  38. 55
  39. 60
  40. 50

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