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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 815 · 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 ₹79 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  2. 2.A 28-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  3. 3.A 45-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  4. 4.A grocer mixes 12 kg of tea at ₹95 per kg with 9 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 2 kg of tea at ₹101 per kg with 10 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 4 kg of tea at ₹108 per kg with 4 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 4 kg of tea at ₹61 per kg with 10 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 3 kg of tea at ₹62 per kg with 4 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹56 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  10. 10.A jug has 10 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?
  11. 11.Rice at ₹44 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  12. 12.A grocer mixes 4 kg of tea at ₹64 per kg with 6 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹62 per kg is mixed with rice at ₹92 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?
  14. 14.Rice at ₹67 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  15. 15.A jug has 10 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A jug has 20 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?
  17. 17.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  18. 18.A grocer mixes 4 kg of tea at ₹119 per kg with 5 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 12 kg of tea at ₹26 per kg with 7 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 55-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  21. 21.A 80-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  22. 22.A 91-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?
  23. 23.Rice at ₹49 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  24. 24.A 20-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  25. 25.A grocer mixes 9 kg of tea at ₹99 per kg with 3 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹63 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  27. 27.A grocer mixes 2 kg of tea at ₹41 per kg with 3 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 35-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  29. 29.Rice at ₹31 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  30. 30.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  31. 31.Rice at ₹77 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  32. 32.Rice at ₹65 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  33. 33.A 28-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  34. 34.A 70-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  35. 35.Rice at ₹20 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  36. 36.A 66-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?
  37. 37.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 : 2?
  38. 38.A grocer mixes 9 kg of tea at ₹69 per kg with 6 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹51 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  40. 40.A 40-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?

Answer key

  1. 15
  2. 16
  3. 5
  4. 68
  5. 91
  6. 84
  7. 36
  8. 70
  9. 8
  10. 60
  11. 2
  12. 79
  13. 4
  14. 40
  15. 80
  16. 60
  17. 9
  18. 84
  19. 33
  20. 15
  21. 10
  22. 28
  23. 6
  24. 6
  25. 90
  26. 32
  27. 77
  28. 14
  29. 1
  30. 9
  31. 5
  32. 1
  33. 8
  34. 20
  35. 12
  36. 24
  37. 6
  38. 65
  39. 15
  40. 8

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