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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 651 · 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 3 kg of tea at ₹83 per kg with 6 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 12 kg of tea at ₹101 per kg with 8 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.Rice at ₹65 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  5. 5.A 90-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  6. 6.A jug has 40 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?
  7. 7.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?
  8. 8.A jug has 50 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?
  9. 9.Rice at ₹22 per kg is mixed with rice at ₹27 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  10. 10.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?
  11. 11.Rice at ₹67 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  12. 12.A grocer mixes 6 kg of tea at ₹92 per kg with 12 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 3 kg of tea at ₹96 per kg with 6 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹40 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  15. 15.A grocer mixes 8 kg of tea at ₹60 per kg with 4 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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 : 6?
  17. 17.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?
  18. 18.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.Rice at ₹48 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  20. 20.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.Rice at ₹57 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  22. 22.Rice at ₹49 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.A grocer mixes 2 kg of tea at ₹120 per kg with 2 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹53 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  25. 25.A grocer mixes 7 kg of tea at ₹64 per kg with 7 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹68 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  27. 27.A 48-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  28. 28.A jug has 10 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?
  29. 29.Rice at ₹47 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  30. 30.Rice at ₹52 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  31. 31.A grocer mixes 3 kg of tea at ₹30 per kg with 7 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.A grocer mixes 3 kg of tea at ₹36 per kg with 3 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A jug has 10 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?
  35. 35.A 40-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  36. 36.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  37. 37.Rice at ₹27 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.A 80-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?
  39. 39.Rice at ₹40 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  40. 40.A grocer mixes 12 kg of tea at ₹37 per kg with 6 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 77
  2. 87
  3. 50
  4. 30
  5. 10
  6. 60
  7. 50
  8. 50
  9. 32
  10. 28
  11. 20
  12. 94
  13. 106
  14. 6
  15. 76
  16. 16
  17. 25
  18. 50
  19. 3
  20. 60
  21. 30
  22. 3
  23. 102
  24. 40
  25. 89
  26. 6
  27. 6
  28. 55
  29. 6
  30. 3
  31. 37
  32. 25
  33. 51
  34. 50
  35. 15
  36. 2
  37. 30
  38. 20
  39. 24
  40. 63

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