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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 308 · 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 jug has 10 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?
  2. 2.Rice at ₹78 per kg is mixed with rice at ₹134 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  3. 3.Rice at ₹41 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  4. 4.Rice at ₹75 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  5. 5.Rice at ₹44 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  6. 6.A 88-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  7. 7.A grocer mixes 4 kg of tea at ₹49 per kg with 9 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹37 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  9. 9.A grocer mixes 10 kg of tea at ₹30 per kg with 6 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.A 42-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  12. 12.A grocer mixes 4 kg of tea at ₹88 per kg with 4 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A jug has 50 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.Rice at ₹35 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  15. 15.Rice at ₹79 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  16. 16.Rice at ₹23 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  17. 17.A grocer mixes 11 kg of tea at ₹55 per kg with 2 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹27 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  19. 19.Rice at ₹49 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  20. 20.Rice at ₹23 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  21. 21.Rice at ₹56 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  22. 22.A grocer mixes 5 kg of tea at ₹49 per kg with 2 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  24. 24.A jug has 40 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.A grocer mixes 5 kg of tea at ₹36 per kg with 11 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹64 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  27. 27.A grocer mixes 5 kg of tea at ₹97 per kg with 5 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 2 kg of tea at ₹94 per kg with 4 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 7 kg of tea at ₹32 per kg with 7 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 60-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  31. 31.A grocer mixes 4 kg of tea at ₹60 per kg with 8 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹66 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  33. 33.A grocer mixes 4 kg of tea at ₹96 per kg with 2 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹21 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  35. 35.Rice at ₹53 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  36. 36.A 15-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?
  37. 37.A 72-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  38. 38.A jug has 40 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?
  39. 39.A grocer mixes 2 kg of tea at ₹102 per kg with 9 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹58 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?

Answer key

  1. 80
  2. 32
  3. 4
  4. 4
  5. 15
  6. 32
  7. 67
  8. 8
  9. 48
  10. 75
  11. 28
  12. 70
  13. 25
  14. 21
  15. 12
  16. 8
  17. 57
  18. 4
  19. 10
  20. 12
  21. 1
  22. 45
  23. 12
  24. 28
  25. 91
  26. 4
  27. 108
  28. 100
  29. 29
  30. 6
  31. 36
  32. 2
  33. 95
  34. 12
  35. 16
  36. 5
  37. 24
  38. 40
  39. 111
  40. 9

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