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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 607 · 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 12 kg of tea at ₹99 per kg with 12 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 5 kg of tea at ₹69 per kg with 10 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹69 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  4. 4.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?
  5. 5.Rice at ₹24 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  6. 6.Rice at ₹20 per kg is mixed with rice at ₹23 per kg to make a mix worth ₹22 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  7. 7.Rice at ₹58 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  8. 8.Rice at ₹60 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  9. 9.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?
  10. 10.Rice at ₹56 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  11. 11.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?
  12. 12.A grocer mixes 6 kg of tea at ₹37 per kg with 6 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹80 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  14. 14.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  15. 15.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  16. 16.A grocer mixes 9 kg of tea at ₹63 per kg with 7 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹29 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  18. 18.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  19. 19.Rice at ₹65 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  20. 20.A grocer mixes 8 kg of tea at ₹47 per kg with 2 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹33 per kg is mixed with rice at ₹53 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?
  22. 22.A 15-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?
  23. 23.Rice at ₹60 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  24. 24.Rice at ₹77 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  25. 25.Rice at ₹44 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  26. 26.A 21-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  27. 27.A grocer mixes 12 kg of tea at ₹58 per kg with 6 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.A grocer mixes 3 kg of tea at ₹78 per kg with 12 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.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 : 6?
  32. 32.A grocer mixes 4 kg of tea at ₹120 per kg with 4 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹45 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  34. 34.A grocer mixes 4 kg of tea at ₹87 per kg with 4 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹74 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  36. 36.A grocer mixes 3 kg of tea at ₹40 per kg with 4 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 11 kg of tea at ₹105 per kg with 11 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.Rice at ₹57 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  40. 40.A grocer mixes 6 kg of tea at ₹42 per kg with 7 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 105
  2. 89
  3. 35
  4. 55
  5. 4
  6. 2
  7. 10
  8. 7
  9. 60
  10. 35
  11. 52
  12. 57
  13. 16
  14. 10
  15. 4
  16. 49
  17. 48
  18. 16
  19. 5
  20. 48
  21. 4
  22. 20
  23. 16
  24. 1
  25. 5
  26. 3
  27. 59
  28. 50
  29. 98
  30. 40
  31. 5
  32. 112
  33. 10
  34. 103
  35. 30
  36. 64
  37. 93
  38. 68
  39. 24
  40. 56

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