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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 287 · 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 ₹58 per kg with 8 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 4 kg of tea at ₹38 per kg with 4 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.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 ₹)?
  6. 6.Rice at ₹50 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  7. 7.A grocer mixes 3 kg of tea at ₹45 per kg with 3 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 9 kg of tea at ₹65 per kg with 9 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹78 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  10. 10.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  11. 11.Rice at ₹63 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  12. 12.A grocer mixes 4 kg of tea at ₹21 per kg with 2 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹74 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  14. 14.A grocer mixes 6 kg of tea at ₹104 per kg with 6 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹35 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  16. 16.A grocer mixes 2 kg of tea at ₹103 per kg with 4 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 42-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  18. 18.A 70-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 grocer mixes 2 kg of tea at ₹114 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 9 kg of tea at ₹82 per kg with 3 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.A 84-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?
  23. 23.Rice at ₹69 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.A grocer mixes 3 kg of tea at ₹108 per kg with 10 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹31 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  26. 26.Rice at ₹64 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  27. 27.A grocer mixes 3 kg of tea at ₹111 per kg with 8 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 14-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?
  29. 29.Rice at ₹66 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  30. 30.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.Rice at ₹76 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  33. 33.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?
  34. 34.A 56-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?
  35. 35.A 63-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  36. 36.Rice at ₹71 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  37. 37.A jug has 20 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?
  38. 38.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.Rice at ₹79 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  40. 40.A grocer mixes 2 kg of tea at ₹66 per kg with 2 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 66
  2. 51
  3. 76
  4. 50
  5. 82
  6. 25
  7. 81
  8. 85
  9. 3
  10. 8
  11. 5
  12. 50
  13. 10
  14. 91
  15. 6
  16. 73
  17. 24
  18. 30
  19. 54
  20. 79
  21. 25
  22. 21
  23. 10
  24. 68
  25. 2
  26. 15
  27. 47
  28. 2
  29. 6
  30. 75
  31. 60
  32. 4
  33. 36
  34. 24
  35. 14
  36. 14
  37. 40
  38. 50
  39. 1
  40. 54

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