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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 920 · 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 ₹41 per kg with 4 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.Rice at ₹66 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  4. 4.A jug has 10 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A grocer mixes 9 kg of tea at ₹55 per kg with 2 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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 : 5?
  7. 7.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?
  8. 8.A grocer mixes 4 kg of tea at ₹32 per kg with 12 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 28-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?
  10. 10.Rice at ₹24 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  11. 11.A grocer mixes 12 kg of tea at ₹60 per kg with 10 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹58 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  13. 13.Rice at ₹23 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  14. 14.A grocer mixes 3 kg of tea at ₹75 per kg with 12 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 8 kg of tea at ₹61 per kg with 12 kg of tea at ₹46 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. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.Rice at ₹30 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  18. 18.Rice at ₹56 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  19. 19.A grocer mixes 2 kg of tea at ₹94 per kg with 2 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 2 kg of tea at ₹38 per kg with 4 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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 5 : 4?
  22. 22.A grocer mixes 2 kg of tea at ₹48 per kg with 2 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 10 kg of tea at ₹84 per kg with 2 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 12 kg of tea at ₹99 per kg with 6 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 2 kg of tea at ₹114 per kg with 12 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 7 kg of tea at ₹30 per kg with 5 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 45-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  28. 28.A grocer mixes 3 kg of tea at ₹117 per kg with 8 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹79 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  30. 30.A 36-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  31. 31.A grocer mixes 7 kg of tea at ₹52 per kg with 7 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 36-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?
  33. 33.A 50-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?
  34. 34.A grocer mixes 7 kg of tea at ₹91 per kg with 2 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 6 kg of tea at ₹63 per kg with 4 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 7 kg of tea at ₹104 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.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?
  39. 39.A 63-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  40. 40.A grocer mixes 2 kg of tea at ₹82 per kg with 2 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 38
  2. 50
  3. 3
  4. 60
  5. 51
  6. 27
  7. 55
  8. 68
  9. 12
  10. 4
  11. 55
  12. 4
  13. 40
  14. 91
  15. 52
  16. 25
  17. 5
  18. 3
  19. 103
  20. 30
  21. 6
  22. 74
  23. 75
  24. 92
  25. 108
  26. 65
  27. 15
  28. 53
  29. 6
  30. 6
  31. 49
  32. 6
  33. 10
  34. 95
  35. 65
  36. 80
  37. 60
  38. 25
  39. 21
  40. 58

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