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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 654 · 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 ₹30 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  2. 2.A grocer mixes 7 kg of tea at ₹120 per kg with 3 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.A grocer mixes 3 kg of tea at ₹52 per kg with 3 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.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?
  7. 7.Rice at ₹23 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.A jug has 10 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?
  9. 9.Rice at ₹36 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  10. 10.Rice at ₹66 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  11. 11.Rice at ₹71 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  12. 12.A jug has 20 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?
  13. 13.Rice at ₹33 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  14. 14.Rice at ₹47 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  15. 15.Rice at ₹34 per kg is mixed with rice at ₹48 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?
  16. 16.A 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  17. 17.Rice at ₹29 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  18. 18.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?
  19. 19.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?
  20. 20.Rice at ₹39 per kg is mixed with rice at ₹54 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?
  21. 21.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?
  22. 22.A 90-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  23. 23.A grocer mixes 8 kg of tea at ₹32 per kg with 8 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹35 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  25. 25.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  26. 26.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.A grocer mixes 7 kg of tea at ₹107 per kg with 2 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 7 kg of tea at ₹77 per kg with 7 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹75 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  31. 31.A grocer mixes 7 kg of tea at ₹32 per kg with 7 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹63 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  33. 33.A grocer mixes 4 kg of tea at ₹95 per kg with 11 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹23 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  35. 35.Rice at ₹28 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  36. 36.A grocer mixes 5 kg of tea at ₹63 per kg with 11 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹27 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  38. 38.A 56-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  39. 39.A grocer mixes 12 kg of tea at ₹43 per kg with 12 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹48 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?

Answer key

  1. 6
  2. 105
  3. 75
  4. 47
  5. 52
  6. 16
  7. 20
  8. 60
  9. 21
  10. 10
  11. 9
  12. 60
  13. 28
  14. 12
  15. 15
  16. 16
  17. 25
  18. 36
  19. 20
  20. 16
  21. 25
  22. 10
  23. 37
  24. 18
  25. 16
  26. 60
  27. 64
  28. 89
  29. 85
  30. 3
  31. 71
  32. 4
  33. 73
  34. 24
  35. 1
  36. 74
  37. 24
  38. 32
  39. 71
  40. 10

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