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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 197 · 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 ₹24 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.A grocer mixes 2 kg of tea at ₹119 per kg with 3 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A jug has 40 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?
  4. 4.A jug has 20 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?
  5. 5.A jug has 20 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.Rice at ₹66 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  7. 7.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?
  8. 8.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?
  9. 9.A 88-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  10. 10.A 14-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  11. 11.A 49-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  12. 12.A grocer mixes 12 kg of tea at ₹84 per kg with 8 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 36-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?
  14. 14.A grocer mixes 3 kg of tea at ₹23 per kg with 3 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 2 kg of tea at ₹105 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 10 kg of tea at ₹90 per kg with 2 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 4 kg of tea at ₹57 per kg with 11 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹56 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  20. 20.A 24-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?
  21. 21.A grocer mixes 3 kg of tea at ₹80 per kg with 3 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹57 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  23. 23.Rice at ₹26 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  24. 24.Rice at ₹52 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  25. 25.A grocer mixes 6 kg of tea at ₹63 per kg with 12 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 10 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?
  27. 27.A grocer mixes 9 kg of tea at ₹33 per kg with 9 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 88-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?
  29. 29.A grocer mixes 7 kg of tea at ₹58 per kg with 12 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹33 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  31. 31.A grocer mixes 11 kg of tea at ₹41 per kg with 11 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹46 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  33. 33.A jug has 10 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A 81-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  36. 36.Rice at ₹25 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  37. 37.A grocer mixes 4 kg of tea at ₹69 per kg with 4 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.A 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  40. 40.A grocer mixes 2 kg of tea at ₹66 per kg with 11 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 8
  2. 104
  3. 40
  4. 28
  5. 60
  6. 7
  7. 25
  8. 25
  9. 8
  10. 2
  11. 7
  12. 62
  13. 8
  14. 30
  15. 51
  16. 93
  17. 90
  18. 32
  19. 40
  20. 6
  21. 99
  22. 6
  23. 6
  24. 10
  25. 99
  26. 40
  27. 52
  28. 16
  29. 34
  30. 32
  31. 72
  32. 9
  33. 70
  34. 50
  35. 9
  36. 5
  37. 57
  38. 50
  39. 2
  40. 44

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