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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 795 · 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 3 kg of tea at ₹24 per kg with 3 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  3. 3.A 16-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?
  4. 4.Rice at ₹47 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  5. 5.A grocer mixes 10 kg of tea at ₹78 per kg with 10 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 20 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?
  7. 7.A 14-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  8. 8.A grocer mixes 11 kg of tea at ₹106 per kg with 2 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 6 kg of tea at ₹77 per kg with 6 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹66 per kg is mixed with rice at ₹138 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  11. 11.A 91-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  12. 12.Rice at ₹26 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  13. 13.Rice at ₹55 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 12 kg of the dearer rice?
  14. 14.A grocer mixes 2 kg of tea at ₹94 per kg with 3 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 4 kg of tea at ₹23 per kg with 3 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  17. 17.Rice at ₹29 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  18. 18.Rice at ₹35 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  19. 19.A grocer mixes 7 kg of tea at ₹66 per kg with 7 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 11 kg of tea at ₹117 per kg with 2 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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 40 kg of the dearer rice?
  22. 22.A grocer mixes 10 kg of tea at ₹71 per kg with 10 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹75 per kg is mixed with rice at ₹139 per kg to make a mix worth ₹115 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  24. 24.Rice at ₹74 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹116 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  25. 25.A grocer mixes 2 kg of tea at ₹82 per kg with 12 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 20 litres of a drink that is 10% mango juice. 16 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 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.Rice at ₹37 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  29. 29.A 21-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?
  30. 30.Rice at ₹53 per kg is mixed with rice at ₹56 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?
  31. 31.Rice at ₹78 per kg is mixed with rice at ₹133 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  32. 32.Rice at ₹53 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  33. 33.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?
  34. 34.A grocer mixes 5 kg of tea at ₹115 per kg with 12 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 35-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  36. 36.A jug has 20 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?
  37. 37.A grocer mixes 3 kg of tea at ₹97 per kg with 2 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹37 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  39. 39.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  40. 40.A grocer mixes 6 kg of tea at ₹42 per kg with 4 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 29
  2. 3
  3. 8
  4. 4
  5. 74
  6. 40
  7. 6
  8. 102
  9. 64
  10. 5
  11. 21
  12. 8
  13. 10
  14. 52
  15. 32
  16. 9
  17. 6
  18. 6
  19. 70
  20. 109
  21. 24
  22. 57
  23. 18
  24. 6
  25. 94
  26. 50
  27. 76
  28. 32
  29. 21
  30. 8
  31. 30
  32. 8
  33. 25
  34. 103
  35. 5
  36. 70
  37. 95
  38. 4
  39. 8
  40. 34

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