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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 184 · 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 ₹21 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  2. 2.Rice at ₹31 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  3. 3.A 72-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  4. 4.Rice at ₹26 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  5. 5.Rice at ₹74 per kg is mixed with rice at ₹130 per kg to make a mix worth ₹122 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  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 grocer mixes 10 kg of tea at ₹21 per kg with 2 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 2 kg of tea at ₹63 per kg with 12 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 12 kg of tea at ₹72 per kg with 9 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 10 kg of tea at ₹68 per kg with 3 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 12 kg of tea at ₹80 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 11 kg of tea at ₹69 per kg with 11 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹28 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  14. 14.Rice at ₹72 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  15. 15.A 28-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  16. 16.Rice at ₹34 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  17. 17.Rice at ₹41 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.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?
  19. 19.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?
  20. 20.A 30-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  21. 21.Rice at ₹25 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  22. 22.A 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  23. 23.Rice at ₹38 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  24. 24.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 3 : 4?
  25. 25.A grocer mixes 12 kg of tea at ₹73 per kg with 9 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 25 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?
  27. 27.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?
  28. 28.A grocer mixes 5 kg of tea at ₹71 per kg with 5 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 21-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  30. 30.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.Rice at ₹64 per kg is mixed with rice at ₹99 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?
  32. 32.A 44-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  33. 33.Rice at ₹56 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  34. 34.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A 56-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  36. 36.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?
  37. 37.Rice at ₹45 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.Rice at ₹61 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  39. 39.A grocer mixes 3 kg of tea at ₹120 per kg with 6 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A jug has 10 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?

Answer key

  1. 4
  2. 6
  3. 9
  4. 6
  5. 4
  6. 40
  7. 27
  8. 87
  9. 84
  10. 74
  11. 66
  12. 74
  13. 2
  14. 16
  15. 21
  16. 4
  17. 4
  18. 40
  19. 76
  20. 24
  21. 6
  22. 8
  23. 12
  24. 9
  25. 64
  26. 50
  27. 25
  28. 77
  29. 28
  30. 50
  31. 6
  32. 16
  33. 35
  34. 75
  35. 21
  36. 55
  37. 16
  38. 24
  39. 68
  40. 75

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