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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 634 · 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 ₹116 per kg with 12 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹27 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  3. 3.A grocer mixes 12 kg of tea at ₹25 per kg with 2 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹58 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  5. 5.A grocer mixes 7 kg of tea at ₹118 per kg with 7 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.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?
  9. 9.Rice at ₹32 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  10. 10.Rice at ₹37 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  11. 11.A grocer mixes 12 kg of tea at ₹67 per kg with 12 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.A 14-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  14. 14.A jug has 50 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?
  15. 15.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?
  16. 16.A grocer mixes 12 kg of tea at ₹67 per kg with 10 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 25-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  18. 18.Rice at ₹76 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  19. 19.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?
  20. 20.Rice at ₹32 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  21. 21.A 20-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  22. 22.A grocer mixes 2 kg of tea at ₹23 per kg with 4 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 4 kg of tea at ₹119 per kg with 4 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹22 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  25. 25.A grocer mixes 9 kg of tea at ₹82 per kg with 9 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹78 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  27. 27.A 117-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  28. 28.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?
  29. 29.Rice at ₹26 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  30. 30.Rice at ₹60 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  31. 31.Rice at ₹56 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  32. 32.Rice at ₹43 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  33. 33.A grocer mixes 2 kg of tea at ₹43 per kg with 6 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹46 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  35. 35.Rice at ₹60 per kg is mixed with rice at ₹84 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?
  36. 36.A grocer mixes 5 kg of tea at ₹112 per kg with 7 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A jug has 50 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?
  38. 38.A grocer mixes 10 kg of tea at ₹91 per kg with 4 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 7 kg of tea at ₹67 per kg with 8 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 4 kg of tea at ₹60 per kg with 3 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 40
  2. 16
  3. 27
  4. 24
  5. 105
  6. 36
  7. 50
  8. 50
  9. 15
  10. 2
  11. 65
  12. 40
  13. 8
  14. 25
  15. 40
  16. 72
  17. 5
  18. 7
  19. 40
  20. 16
  21. 8
  22. 25
  23. 84
  24. 4
  25. 66
  26. 15
  27. 36
  28. 60
  29. 30
  30. 12
  31. 32
  32. 15
  33. 94
  34. 30
  35. 20
  36. 70
  37. 50
  38. 75
  39. 91
  40. 84

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