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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 926 · 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 12 kg of tea at ₹100 per kg with 8 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 8 kg of tea at ₹41 per kg with 8 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹20 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  4. 4.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?
  5. 5.A grocer mixes 3 kg of tea at ₹87 per kg with 6 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹30 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  7. 7.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.Rice at ₹63 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  9. 9.A 42-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  10. 10.A 30-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  11. 11.A grocer mixes 3 kg of tea at ₹108 per kg with 3 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹66 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  13. 13.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.Rice at ₹62 per kg is mixed with rice at ₹102 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?
  15. 15.Rice at ₹61 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  16. 16.A 99-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?
  17. 17.A grocer mixes 12 kg of tea at ₹67 per kg with 8 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.A grocer mixes 8 kg of tea at ₹70 per kg with 3 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹57 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  21. 21.A grocer mixes 11 kg of tea at ₹56 per kg with 2 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 6 kg of tea at ₹81 per kg with 4 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹68 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  24. 24.A 48-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  25. 25.Rice at ₹32 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  26. 26.A grocer mixes 4 kg of tea at ₹83 per kg with 4 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹64 per kg is mixed with rice at ₹136 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  28. 28.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A 72-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?
  30. 30.Rice at ₹63 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  31. 31.A jug has 40 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?
  32. 32.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 : 4?
  33. 33.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 : 10?
  34. 34.A grocer mixes 8 kg of tea at ₹39 per kg with 8 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 3 kg of tea at ₹115 per kg with 12 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.A grocer mixes 2 kg of tea at ₹61 per kg with 11 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A jug has 10 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?
  39. 39.A grocer mixes 3 kg of tea at ₹43 per kg with 7 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 9 kg of tea at ₹65 per kg with 9 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 78
  2. 69
  3. 7
  4. 60
  5. 43
  6. 6
  7. 50
  8. 16
  9. 12
  10. 10
  11. 105
  12. 4
  13. 60
  14. 18
  15. 3
  16. 36
  17. 85
  18. 25
  19. 76
  20. 24
  21. 62
  22. 57
  23. 6
  24. 8
  25. 4
  26. 75
  27. 24
  28. 50
  29. 18
  30. 10
  31. 52
  32. 15
  33. 9
  34. 74
  35. 79
  36. 50
  37. 39
  38. 55
  39. 36
  40. 64

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