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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 252 · 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 6 kg of tea at ₹22 per kg with 3 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹58 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  3. 3.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?
  4. 4.Rice at ₹49 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  5. 5.Rice at ₹48 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  6. 6.Rice at ₹62 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  7. 7.A grocer mixes 8 kg of tea at ₹58 per kg with 8 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 12 kg of tea at ₹117 per kg with 3 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.A grocer mixes 10 kg of tea at ₹72 per kg with 5 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.Rice at ₹25 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  13. 13.Rice at ₹80 per kg is mixed with rice at ₹136 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  14. 14.Rice at ₹41 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  15. 15.Rice at ₹64 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  16. 16.Rice at ₹47 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  17. 17.A 66-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  18. 18.Rice at ₹68 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 6 kg of the dearer rice?
  19. 19.A grocer mixes 9 kg of tea at ₹112 per kg with 9 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 10-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  21. 21.A jug has 40 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?
  22. 22.Rice at ₹51 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  23. 23.A grocer mixes 8 kg of tea at ₹81 per kg with 12 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 7 kg of tea at ₹86 per kg with 5 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹30 per kg is mixed with rice at ₹58 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?
  26. 26.A grocer mixes 3 kg of tea at ₹102 per kg with 4 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 25-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  28. 28.Rice at ₹48 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  29. 29.A 49-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  30. 30.Rice at ₹25 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  31. 31.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  32. 32.A grocer mixes 8 kg of tea at ₹86 per kg with 8 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹45 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  34. 34.A jug has 20 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?
  35. 35.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  37. 37.Rice at ₹42 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  38. 38.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  39. 39.A grocer mixes 2 kg of tea at ₹92 per kg with 6 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 4 kg of tea at ₹120 per kg with 8 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 35
  2. 10
  3. 68
  4. 32
  5. 6
  6. 10
  7. 52
  8. 101
  9. 9
  10. 55
  11. 36
  12. 4
  13. 35
  14. 16
  15. 7
  16. 6
  17. 18
  18. 3
  19. 93
  20. 2
  21. 40
  22. 20
  23. 96
  24. 71
  25. 8
  26. 110
  27. 15
  28. 8
  29. 21
  30. 40
  31. 9
  32. 101
  33. 7
  34. 28
  35. 25
  36. 20
  37. 35
  38. 9
  39. 44
  40. 98

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