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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 472 · 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 ₹47 per kg with 6 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 2 kg of tea at ₹68 per kg with 2 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 2 kg of tea at ₹48 per kg with 6 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹69 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  5. 5.Rice at ₹47 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  6. 6.A grocer mixes 11 kg of tea at ₹23 per kg with 9 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 99-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  8. 8.Rice at ₹62 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  9. 9.Rice at ₹63 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  10. 10.Rice at ₹70 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  11. 11.Rice at ₹69 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  12. 12.Rice at ₹50 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  13. 13.A 26-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  14. 14.Rice at ₹37 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  15. 15.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?
  16. 16.Rice at ₹34 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  17. 17.Rice at ₹22 per kg is mixed with rice at ₹26 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.A 12-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?
  19. 19.Rice at ₹73 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  20. 20.A jug has 10 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?
  21. 21.A grocer mixes 6 kg of tea at ₹118 per kg with 2 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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 3 : 4?
  23. 23.A grocer mixes 4 kg of tea at ₹80 per kg with 8 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹61 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  25. 25.Rice at ₹21 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  26. 26.A grocer mixes 7 kg of tea at ₹108 per kg with 4 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹47 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  28. 28.A 36-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  29. 29.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?
  30. 30.A 130-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?
  31. 31.A 32-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  32. 32.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?
  33. 33.Rice at ₹79 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  34. 34.Rice at ₹38 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  35. 35.A jug has 40 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?
  36. 36.A grocer mixes 5 kg of tea at ₹71 per kg with 2 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹33 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  38. 38.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?
  39. 39.A grocer mixes 12 kg of tea at ₹69 per kg with 4 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 89
  2. 76
  3. 99
  4. 4
  5. 1
  6. 32
  7. 36
  8. 8
  9. 3
  10. 24
  11. 21
  12. 9
  13. 8
  14. 32
  15. 40
  16. 2
  17. 18
  18. 8
  19. 4
  20. 60
  21. 103
  22. 24
  23. 82
  24. 4
  25. 12
  26. 112
  27. 4
  28. 9
  29. 60
  30. 30
  31. 8
  32. 12
  33. 6
  34. 6
  35. 40
  36. 75
  37. 48
  38. 50
  39. 79
  40. 40

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