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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 833 · 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 ₹61 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  2. 2.A grocer mixes 8 kg of tea at ₹90 per kg with 8 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 8 kg of tea at ₹82 per kg with 9 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A 28-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  6. 6.A grocer mixes 8 kg of tea at ₹115 per kg with 8 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A jug has 20 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.A grocer mixes 7 kg of tea at ₹27 per kg with 7 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  10. 10.A grocer mixes 4 kg of tea at ₹65 per kg with 3 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹41 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  12. 12.A grocer mixes 2 kg of tea at ₹21 per kg with 3 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹78 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  14. 14.Rice at ₹33 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  15. 15.Rice at ₹55 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  16. 16.Rice at ₹67 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  17. 17.A grocer mixes 6 kg of tea at ₹35 per kg with 6 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.Rice at ₹59 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  20. 20.A 35-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?
  21. 21.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?
  22. 22.A grocer mixes 11 kg of tea at ₹115 per kg with 11 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹35 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  24. 24.A grocer mixes 6 kg of tea at ₹115 per kg with 12 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 3 kg of tea at ₹116 per kg with 2 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 12 kg of tea at ₹52 per kg with 3 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹59 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 24 kg of the dearer rice?
  28. 28.A 27-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?
  29. 29.A 20-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  30. 30.A 44-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  31. 31.Rice at ₹70 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  32. 32.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?
  33. 33.Rice at ₹72 per kg is mixed with rice at ₹107 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?
  34. 34.Rice at ₹60 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  35. 35.Rice at ₹52 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  36. 36.Rice at ₹68 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  37. 37.Rice at ₹27 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  38. 38.A 72-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?
  39. 39.A jug has 50 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?
  40. 40.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?

Answer key

  1. 5
  2. 100
  3. 64
  4. 64
  5. 16
  6. 74
  7. 55
  8. 45
  9. 6
  10. 74
  11. 7
  12. 33
  13. 15
  14. 8
  15. 4
  16. 15
  17. 59
  18. 40
  19. 30
  20. 28
  21. 50
  22. 68
  23. 48
  24. 101
  25. 78
  26. 61
  27. 32
  28. 9
  29. 12
  30. 16
  31. 8
  32. 68
  33. 6
  34. 1
  35. 4
  36. 8
  37. 12
  38. 32
  39. 50
  40. 16

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