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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 762 · 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.Rice at ₹42 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  2. 2.A grocer mixes 3 kg of tea at ₹50 per kg with 6 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹66 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.A grocer mixes 9 kg of tea at ₹27 per kg with 12 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.Rice at ₹32 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  7. 7.Rice at ₹51 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 30 kg of the dearer rice?
  8. 8.Rice at ₹47 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  9. 9.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.Rice at ₹66 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  11. 11.Rice at ₹38 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  12. 12.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?
  13. 13.A grocer mixes 3 kg of tea at ₹95 per kg with 2 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.A grocer mixes 9 kg of tea at ₹119 per kg with 7 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 20-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  17. 17.Rice at ₹37 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  18. 18.A grocer mixes 2 kg of tea at ₹67 per kg with 10 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.A jug has 40 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?
  21. 21.A grocer mixes 2 kg of tea at ₹117 per kg with 6 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹66 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  23. 23.A grocer mixes 9 kg of tea at ₹74 per kg with 12 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.Rice at ₹26 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  26. 26.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  27. 27.A grocer mixes 11 kg of tea at ₹116 per kg with 11 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  29. 29.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?
  30. 30.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  31. 31.Rice at ₹66 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  32. 32.A grocer mixes 4 kg of tea at ₹66 per kg with 2 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 77-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  34. 34.A grocer mixes 8 kg of tea at ₹43 per kg with 8 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹47 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  36. 36.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  37. 37.A 77-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  38. 38.A grocer mixes 10 kg of tea at ₹50 per kg with 5 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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?
  40. 40.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?

Answer key

  1. 4
  2. 70
  3. 5
  4. 79
  5. 75
  6. 9
  7. 5
  8. 12
  9. 40
  10. 30
  11. 21
  12. 76
  13. 67
  14. 68
  15. 77
  16. 20
  17. 5
  18. 82
  19. 36
  20. 20
  21. 99
  22. 4
  23. 70
  24. 3
  25. 20
  26. 24
  27. 94
  28. 3
  29. 50
  30. 8
  31. 10
  32. 67
  33. 28
  34. 58
  35. 16
  36. 10
  37. 14
  38. 46
  39. 50
  40. 55

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