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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 196 · 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 ₹25 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  2. 2.Rice at ₹66 per kg is mixed with rice at ₹101 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?
  3. 3.A grocer mixes 8 kg of tea at ₹47 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 96-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  5. 5.Rice at ₹24 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  6. 6.Rice at ₹80 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹120 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  7. 7.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?
  8. 8.A grocer mixes 8 kg of tea at ₹45 per kg with 8 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹68 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  10. 10.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A jug has 10 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?
  12. 12.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  13. 13.A grocer mixes 9 kg of tea at ₹114 per kg with 12 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.Rice at ₹64 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  16. 16.A grocer mixes 8 kg of tea at ₹116 per kg with 8 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 30-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  18. 18.Rice at ₹30 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  19. 19.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 1 : 1?
  20. 20.A 16-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  21. 21.Rice at ₹58 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.A grocer mixes 4 kg of tea at ₹83 per kg with 10 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹77 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.A grocer mixes 9 kg of tea at ₹54 per kg with 6 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹77 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  26. 26.A grocer mixes 3 kg of tea at ₹29 per kg with 3 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  28. 28.A 88-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?
  29. 29.Rice at ₹43 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  30. 30.A 16-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  31. 31.A grocer mixes 3 kg of tea at ₹21 per kg with 12 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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 : 10?
  33. 33.A grocer mixes 5 kg of tea at ₹95 per kg with 5 kg of tea at ₹49 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. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A grocer mixes 2 kg of tea at ₹37 per kg with 11 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.A 60-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  38. 38.Rice at ₹51 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  39. 39.Rice at ₹32 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  40. 40.Rice at ₹76 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?

Answer key

  1. 3
  2. 4
  3. 44
  4. 16
  5. 32
  6. 4
  7. 68
  8. 58
  9. 2
  10. 75
  11. 75
  12. 30
  13. 110
  14. 50
  15. 4
  16. 103
  17. 18
  18. 9
  19. 2
  20. 8
  21. 4
  22. 43
  23. 18
  24. 56
  25. 1
  26. 57
  27. 30
  28. 32
  29. 32
  30. 8
  31. 97
  32. 40
  33. 72
  34. 25
  35. 103
  36. 40
  37. 24
  38. 7
  39. 15
  40. 8

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