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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 551 · 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 8 kg of tea at ₹20 per kg with 7 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.A 36-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?
  4. 4.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 : 9?
  5. 5.A grocer mixes 9 kg of tea at ₹29 per kg with 3 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 9 kg of tea at ₹101 per kg with 9 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 6 kg of tea at ₹37 per kg with 4 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 28-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  9. 9.Rice at ₹72 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  10. 10.A grocer mixes 4 kg of tea at ₹26 per kg with 5 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 21-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?
  12. 12.A 63-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?
  13. 13.A 64-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?
  14. 14.A grocer mixes 7 kg of tea at ₹97 per kg with 7 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹68 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  16. 16.Rice at ₹77 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹113 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  17. 17.Rice at ₹54 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.A 14-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  20. 20.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 : 3?
  21. 21.Rice at ₹20 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  22. 22.A 48-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  23. 23.Rice at ₹69 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  24. 24.A grocer mixes 2 kg of tea at ₹78 per kg with 4 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 2 kg of tea at ₹110 per kg with 2 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 32-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  27. 27.Rice at ₹46 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  28. 28.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  29. 29.Rice at ₹43 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  30. 30.A 26-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  31. 31.Rice at ₹25 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.Rice at ₹48 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  33. 33.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?
  34. 34.A grocer mixes 4 kg of tea at ₹24 per kg with 12 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 5 kg of tea at ₹115 per kg with 7 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.A 36-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  38. 38.A grocer mixes 2 kg of tea at ₹37 per kg with 4 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  40. 40.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?

Answer key

  1. 27
  2. 75
  3. 18
  4. 6
  5. 45
  6. 70
  7. 53
  8. 7
  9. 12
  10. 31
  11. 9
  12. 27
  13. 16
  14. 60
  15. 5
  16. 5
  17. 25
  18. 40
  19. 2
  20. 4
  21. 25
  22. 16
  23. 28
  24. 48
  25. 68
  26. 8
  27. 2
  28. 28
  29. 4
  30. 4
  31. 36
  32. 4
  33. 52
  34. 78
  35. 66
  36. 50
  37. 12
  38. 47
  39. 8
  40. 36

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