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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 190 · 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.Rice at ₹69 per kg is mixed with rice at ₹84 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?
  2. 2.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 : 11?
  3. 3.A grocer mixes 11 kg of tea at ₹101 per kg with 2 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 18-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  5. 5.Rice at ₹47 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  6. 6.Rice at ₹45 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  7. 7.Rice at ₹29 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  8. 8.A grocer mixes 5 kg of tea at ₹39 per kg with 5 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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 40 kg of the dearer rice?
  10. 10.Rice at ₹20 per kg is mixed with rice at ₹27 per kg to make a mix worth ₹22 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  11. 11.Rice at ₹30 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  12. 12.Rice at ₹52 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  13. 13.A 42-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  14. 14.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 : 5?
  15. 15.A grocer mixes 7 kg of tea at ₹61 per kg with 7 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 30-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?
  17. 17.A grocer mixes 2 kg of tea at ₹106 per kg with 6 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹71 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  19. 19.A 49-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  20. 20.Rice at ₹55 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 25 kg of the dearer rice?
  21. 21.A grocer mixes 9 kg of tea at ₹83 per kg with 3 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  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 ₹30 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  24. 24.A 56-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  25. 25.A grocer mixes 12 kg of tea at ₹93 per kg with 6 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹57 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  27. 27.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?
  28. 28.A 130-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  29. 29.A grocer mixes 11 kg of tea at ₹79 per kg with 7 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹69 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  31. 31.A 8-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  32. 32.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?
  33. 33.A grocer mixes 4 kg of tea at ₹104 per kg with 8 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 3 kg of tea at ₹87 per kg with 5 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹53 per kg is mixed with rice at ₹61 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?
  36. 36.A grocer mixes 3 kg of tea at ₹46 per kg with 3 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 88-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  38. 38.A grocer mixes 6 kg of tea at ₹115 per kg with 11 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹75 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 3
  2. 24
  3. 103
  4. 4
  5. 4
  6. 2
  7. 35
  8. 42
  9. 24
  10. 40
  11. 12
  12. 20
  13. 24
  14. 40
  15. 51
  16. 5
  17. 46
  18. 2
  19. 14
  20. 5
  21. 91
  22. 36
  23. 30
  24. 21
  25. 79
  26. 20
  27. 50
  28. 10
  29. 65
  30. 8
  31. 4
  32. 20
  33. 82
  34. 107
  35. 12
  36. 72
  37. 8
  38. 93
  39. 9
  40. 60

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