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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 321 · 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 2 kg of tea at ₹36 per kg with 2 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 3 kg of tea at ₹80 per kg with 3 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 2 kg of tea at ₹51 per kg with 9 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A 8-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  6. 6.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 : 9?
  7. 7.Rice at ₹37 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  8. 8.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 3 : 1?
  9. 9.A grocer mixes 2 kg of tea at ₹64 per kg with 2 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.Rice at ₹51 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  12. 12.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  13. 13.Rice at ₹54 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  14. 14.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 : 11?
  15. 15.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A jug has 40 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.Rice at ₹26 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  18. 18.Rice at ₹59 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  19. 19.Rice at ₹30 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  20. 20.A grocer mixes 9 kg of tea at ₹58 per kg with 3 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹57 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  22. 22.Rice at ₹24 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  23. 23.A 40-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?
  24. 24.A 33-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  25. 25.A grocer mixes 8 kg of tea at ₹23 per kg with 8 kg of tea at ₹41 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. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.A grocer mixes 10 kg of tea at ₹66 per kg with 10 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A 33-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  31. 31.Rice at ₹42 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  32. 32.Rice at ₹41 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  33. 33.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?
  34. 34.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 : 4?
  35. 35.A grocer mixes 10 kg of tea at ₹31 per kg with 3 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 12 kg of tea at ₹81 per kg with 4 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹78 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.A grocer mixes 12 kg of tea at ₹47 per kg with 6 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 20 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?
  40. 40.A grocer mixes 10 kg of tea at ₹66 per kg with 4 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 67
  2. 97
  3. 33
  4. 36
  5. 2
  6. 12
  7. 7
  8. 3
  9. 77
  10. 68
  11. 8
  12. 20
  13. 25
  14. 40
  15. 60
  16. 60
  17. 48
  18. 1
  19. 4
  20. 57
  21. 15
  22. 15
  23. 20
  24. 3
  25. 32
  26. 25
  27. 65
  28. 50
  29. 80
  30. 12
  31. 6
  32. 8
  33. 25
  34. 3
  35. 49
  36. 74
  37. 8
  38. 46
  39. 52
  40. 74

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