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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 873 · 40 questions
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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 9 kg of tea at ₹58 per kg with 2 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹67 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  3. 3.A grocer mixes 2 kg of tea at ₹48 per kg with 3 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹35 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  5. 5.A grocer mixes 12 kg of tea at ₹118 per kg with 4 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 4 kg of tea at ₹96 per kg with 2 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹42 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 7 kg of the dearer rice?
  8. 8.A 36-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  9. 9.A 25-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  10. 10.A 48-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  11. 11.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?
  12. 12.A grocer mixes 5 kg of tea at ₹30 per kg with 5 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹57 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  14. 14.A 36-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  15. 15.Rice at ₹52 per kg is mixed with rice at ₹73 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?
  16. 16.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 5 kg of the dearer rice?
  17. 17.A grocer mixes 12 kg of tea at ₹42 per kg with 9 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 28-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  19. 19.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.A grocer mixes 10 kg of tea at ₹75 per kg with 10 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹41 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 21 kg of the dearer rice?
  22. 22.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?
  23. 23.Rice at ₹47 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  24. 24.A 27-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  25. 25.A grocer mixes 2 kg of tea at ₹83 per kg with 4 kg of tea at ₹113 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. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.A grocer mixes 6 kg of tea at ₹63 per kg with 4 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.Rice at ₹39 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  30. 30.A 44-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  31. 31.A 24-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  32. 32.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 : 7?
  33. 33.Rice at ₹29 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  34. 34.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?
  35. 35.A 70-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?
  36. 36.Rice at ₹29 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  37. 37.A 45-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  38. 38.A grocer mixes 5 kg of tea at ₹113 per kg with 5 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 81-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  40. 40.A grocer mixes 4 kg of tea at ₹45 per kg with 2 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 56
  2. 24
  3. 72
  4. 15
  5. 114
  6. 81
  7. 21
  8. 6
  9. 5
  10. 8
  11. 28
  12. 26
  13. 8
  14. 3
  15. 30
  16. 10
  17. 66
  18. 12
  19. 50
  20. 65
  21. 28
  22. 36
  23. 12
  24. 9
  25. 103
  26. 64
  27. 47
  28. 50
  29. 3
  30. 12
  31. 6
  32. 16
  33. 25
  34. 76
  35. 10
  36. 24
  37. 15
  38. 112
  39. 9
  40. 51

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