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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 268 · 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 3 kg of tea at ₹25 per kg with 5 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹77 per kg is mixed with rice at ₹140 per kg to make a mix worth ₹105 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  3. 3.Rice at ₹62 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  4. 4.A jug has 40 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?
  5. 5.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  6. 6.A grocer mixes 12 kg of tea at ₹108 per kg with 6 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 12 kg of tea at ₹41 per kg with 4 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 24-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  9. 9.A grocer mixes 7 kg of tea at ₹119 per kg with 6 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 4 kg of tea at ₹71 per kg with 4 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A jug has 10 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?
  12. 12.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?
  13. 13.A 28-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?
  14. 14.A 33-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  15. 15.Rice at ₹74 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  16. 16.Rice at ₹52 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  17. 17.Rice at ₹48 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  18. 18.A 56-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?
  19. 19.Rice at ₹33 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  20. 20.A grocer mixes 4 kg of tea at ₹70 per kg with 8 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 8 kg of tea at ₹101 per kg with 12 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹78 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  23. 23.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A grocer mixes 5 kg of tea at ₹76 per kg with 5 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A jug has 25 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?
  26. 26.Rice at ₹65 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  27. 27.Rice at ₹51 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  28. 28.Rice at ₹27 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.Rice at ₹50 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  30. 30.A grocer mixes 6 kg of tea at ₹104 per kg with 6 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹25 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  32. 32.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?
  33. 33.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?
  34. 34.A grocer mixes 2 kg of tea at ₹46 per kg with 8 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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?
  36. 36.A grocer mixes 6 kg of tea at ₹114 per kg with 6 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  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 2 kg of tea at ₹111 per kg with 6 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 8 kg of tea at ₹60 per kg with 6 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 30
  2. 10
  3. 24
  4. 28
  5. 24
  6. 87
  7. 59
  8. 3
  9. 89
  10. 67
  11. 70
  12. 75
  13. 12
  14. 6
  15. 24
  16. 9
  17. 20
  18. 14
  19. 8
  20. 66
  21. 98
  22. 3
  23. 36
  24. 97
  25. 50
  26. 10
  27. 3
  28. 10
  29. 6
  30. 67
  31. 40
  32. 60
  33. 68
  34. 82
  35. 25
  36. 79
  37. 50
  38. 50
  39. 102
  40. 63

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