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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 604 · 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 4 kg of tea at ₹56 per kg with 4 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 9 kg of tea at ₹79 per kg with 3 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 3 kg of tea at ₹51 per kg with 3 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹26 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  5. 5.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  6. 6.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?
  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 jug has 10 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?
  9. 9.A grocer mixes 12 kg of tea at ₹59 per kg with 8 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 12 kg of tea at ₹87 per kg with 8 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 40-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  12. 12.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?
  13. 13.A grocer mixes 3 kg of tea at ₹30 per kg with 12 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.Rice at ₹51 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  16. 16.A grocer mixes 3 kg of tea at ₹26 per kg with 9 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹74 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  18. 18.Rice at ₹76 per kg is mixed with rice at ₹81 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?
  19. 19.Rice at ₹42 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  20. 20.A 39-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  21. 21.A grocer mixes 10 kg of tea at ₹38 per kg with 10 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹69 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  23. 23.Rice at ₹40 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  24. 24.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?
  25. 25.Rice at ₹75 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  26. 26.A 60-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  27. 27.Rice at ₹37 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  28. 28.A grocer mixes 5 kg of tea at ₹89 per kg with 11 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  30. 30.A grocer mixes 9 kg of tea at ₹79 per kg with 9 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 56-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  32. 32.A jug has 40 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?
  33. 33.A grocer mixes 4 kg of tea at ₹56 per kg with 4 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹20 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  35. 35.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?
  36. 36.Rice at ₹56 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.Rice at ₹49 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 2 kg of the dearer rice?
  38. 38.Rice at ₹26 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  39. 39.A 40-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  40. 40.Rice at ₹77 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹113 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?

Answer key

  1. 77
  2. 74
  3. 43
  4. 3
  5. 16
  6. 76
  7. 55
  8. 70
  9. 53
  10. 77
  11. 4
  12. 25
  13. 26
  14. 28
  15. 12
  16. 77
  17. 6
  18. 12
  19. 5
  20. 9
  21. 52
  22. 15
  23. 20
  24. 50
  25. 16
  26. 12
  27. 16
  28. 78
  29. 8
  30. 68
  31. 32
  32. 28
  33. 38
  34. 25
  35. 20
  36. 24
  37. 12
  38. 4
  39. 16
  40. 6

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