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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 470 · 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 8 kg of tea at ₹66 per kg with 2 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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 : 5?
  3. 3.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?
  4. 4.A grocer mixes 4 kg of tea at ₹57 per kg with 3 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 2 kg of tea at ₹68 per kg with 2 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 6 kg of tea at ₹41 per kg with 12 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹80 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  8. 8.A grocer mixes 2 kg of tea at ₹104 per kg with 6 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 24-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  10. 10.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?
  11. 11.A grocer mixes 6 kg of tea at ₹23 per kg with 12 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 8 kg of tea at ₹26 per kg with 4 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 5 kg of tea at ₹94 per kg with 3 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 8 kg of tea at ₹23 per kg with 2 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 12 kg of tea at ₹23 per kg with 12 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 35-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?
  17. 17.Rice at ₹78 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹120 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  18. 18.A 15-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?
  19. 19.Rice at ₹77 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  20. 20.A 110-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  21. 21.Rice at ₹37 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  22. 22.Rice at ₹34 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  23. 23.Rice at ₹43 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  24. 24.A grocer mixes 7 kg of tea at ₹102 per kg with 7 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 3 kg of tea at ₹112 per kg with 3 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 5 kg of tea at ₹71 per kg with 10 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 11 kg of tea at ₹30 per kg with 5 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A jug has 10 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?
  30. 30.Rice at ₹48 per kg is mixed with rice at ₹88 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?
  31. 31.A grocer mixes 4 kg of tea at ₹60 per kg with 4 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 4 kg of tea at ₹119 per kg with 12 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹44 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  34. 34.A grocer mixes 3 kg of tea at ₹38 per kg with 11 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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?
  36. 36.Rice at ₹37 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  37. 37.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?
  38. 38.Rice at ₹25 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  39. 39.A jug has 20 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?
  40. 40.A 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?

Answer key

  1. 71
  2. 18
  3. 10
  4. 51
  5. 58
  6. 83
  7. 5
  8. 53
  9. 24
  10. 55
  11. 71
  12. 33
  13. 82
  14. 37
  15. 24
  16. 21
  17. 5
  18. 3
  19. 2
  20. 20
  21. 10
  22. 7
  23. 12
  24. 99
  25. 110
  26. 65
  27. 35
  28. 50
  29. 70
  30. 6
  31. 43
  32. 53
  33. 3
  34. 93
  35. 28
  36. 12
  37. 60
  38. 24
  39. 50
  40. 6

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