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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 559 · 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 12 kg of tea at ₹23 per kg with 12 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹78 per kg is mixed with rice at ₹113 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?
  3. 3.A grocer mixes 5 kg of tea at ₹33 per kg with 5 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹55 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  5. 5.Rice at ₹61 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  6. 6.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?
  7. 7.Rice at ₹71 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  8. 8.Rice at ₹46 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  9. 9.A grocer mixes 9 kg of tea at ₹28 per kg with 5 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.A jug has 10 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?
  12. 12.A jug has 10 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?
  13. 13.Rice at ₹49 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 18 kg of the dearer rice?
  14. 14.Rice at ₹74 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  15. 15.A grocer mixes 5 kg of tea at ₹43 per kg with 5 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A grocer mixes 2 kg of tea at ₹96 per kg with 2 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 27-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  19. 19.Rice at ₹23 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  20. 20.A 70-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?
  21. 21.A grocer mixes 4 kg of tea at ₹97 per kg with 4 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  23. 23.A grocer mixes 3 kg of tea at ₹95 per kg with 4 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹32 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  25. 25.A grocer mixes 5 kg of tea at ₹98 per kg with 7 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 12 kg of tea at ₹58 per kg with 4 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.A grocer mixes 11 kg of tea at ₹35 per kg with 9 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹61 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  30. 30.A 40-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?
  31. 31.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?
  32. 32.A 90-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  33. 33.Rice at ₹21 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  34. 34.A grocer mixes 2 kg of tea at ₹56 per kg with 9 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 40-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  36. 36.A grocer mixes 8 kg of tea at ₹75 per kg with 2 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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 5 : 6?
  38. 38.A grocer mixes 4 kg of tea at ₹20 per kg with 4 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 4 kg of tea at ₹40 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 6 kg of tea at ₹53 per kg with 12 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 48
  2. 3
  3. 46
  4. 5
  5. 35
  6. 50
  7. 8
  8. 10
  9. 43
  10. 40
  11. 50
  12. 60
  13. 3
  14. 12
  15. 35
  16. 64
  17. 108
  18. 9
  19. 2
  20. 30
  21. 72
  22. 9
  23. 59
  24. 14
  25. 105
  26. 64
  27. 25
  28. 62
  29. 30
  30. 8
  31. 20
  32. 20
  33. 14
  34. 101
  35. 32
  36. 72
  37. 20
  38. 58
  39. 37
  40. 49

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