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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 888 · 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 ₹73 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  2. 2.Rice at ₹67 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  3. 3.Rice at ₹46 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  4. 4.Rice at ₹37 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  5. 5.Rice at ₹41 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  6. 6.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?
  7. 7.Rice at ₹76 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  8. 8.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  9. 9.Rice at ₹60 per kg is mixed with rice at ₹116 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?
  10. 10.Rice at ₹74 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  11. 11.A grocer mixes 6 kg of tea at ₹99 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 48-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  13. 13.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?
  14. 14.A grocer mixes 12 kg of tea at ₹111 per kg with 8 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 3 kg of tea at ₹55 per kg with 3 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹59 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 15 kg of the dearer rice?
  17. 17.Rice at ₹67 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.Rice at ₹45 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  19. 19.Rice at ₹37 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  20. 20.Rice at ₹23 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  21. 21.Rice at ₹28 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  22. 22.A 110-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  23. 23.A grocer mixes 6 kg of tea at ₹110 per kg with 6 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 2 kg of tea at ₹88 per kg with 2 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 8 kg of tea at ₹44 per kg with 4 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  27. 27.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  28. 28.A grocer mixes 7 kg of tea at ₹46 per kg with 7 kg of tea at ₹50 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 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  30. 30.Rice at ₹20 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  31. 31.A grocer mixes 3 kg of tea at ₹83 per kg with 6 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 9 kg of tea at ₹50 per kg with 4 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 16-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  34. 34.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A grocer mixes 9 kg of tea at ₹47 per kg with 6 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 10 kg of tea at ₹59 per kg with 5 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹69 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.A 15-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?
  39. 39.Rice at ₹26 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  40. 40.A 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?

Answer key

  1. 12
  2. 21
  3. 1
  4. 5
  5. 25
  6. 64
  7. 6
  8. 20
  9. 15
  10. 5
  11. 69
  12. 24
  13. 25
  14. 77
  15. 41
  16. 9
  17. 20
  18. 5
  19. 30
  20. 25
  21. 7
  22. 20
  23. 103
  24. 84
  25. 40
  26. 21
  27. 6
  28. 48
  29. 6
  30. 2
  31. 93
  32. 70
  33. 6
  34. 50
  35. 51
  36. 75
  37. 3
  38. 20
  39. 2
  40. 12

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