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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 312 · 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 11 kg of tea at ₹110 per kg with 8 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹25 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  3. 3.A 27-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?
  4. 4.A jug has 40 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?
  5. 5.A 63-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?
  6. 6.A 52-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?
  7. 7.A 63-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  8. 8.A grocer mixes 4 kg of tea at ₹74 per kg with 4 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹27 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  10. 10.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?
  11. 11.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?
  12. 12.A 36-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?
  13. 13.A jug has 50 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?
  14. 14.Rice at ₹31 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  15. 15.A grocer mixes 2 kg of tea at ₹75 per kg with 4 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A jug has 40 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.Rice at ₹75 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.Rice at ₹36 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  19. 19.A 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  20. 20.A 99-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  21. 21.Rice at ₹69 per kg is mixed with rice at ₹99 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?
  22. 22.Rice at ₹64 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  23. 23.A grocer mixes 6 kg of tea at ₹112 per kg with 3 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 10 kg of tea at ₹96 per kg with 9 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 3 kg of tea at ₹120 per kg with 5 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 10 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?
  27. 27.Rice at ₹44 per kg is mixed with rice at ₹56 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?
  28. 28.Rice at ₹28 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  29. 29.A 60-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  30. 30.Rice at ₹80 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  31. 31.A 56-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?
  32. 32.Rice at ₹23 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  33. 33.A grocer mixes 7 kg of tea at ₹43 per kg with 7 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹34 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  35. 35.A grocer mixes 6 kg of tea at ₹36 per kg with 6 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 24-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?
  37. 37.A 56-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  38. 38.A grocer mixes 8 kg of tea at ₹109 per kg with 10 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 25-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  40. 40.Rice at ₹66 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 78
  2. 42
  3. 12
  4. 40
  5. 9
  6. 8
  7. 14
  8. 94
  9. 5
  10. 50
  11. 50
  12. 6
  13. 25
  14. 6
  15. 87
  16. 20
  17. 15
  18. 30
  19. 6
  20. 18
  21. 1
  22. 5
  23. 97
  24. 69
  25. 90
  26. 70
  27. 1
  28. 12
  29. 12
  30. 7
  31. 32
  32. 30
  33. 33
  34. 12
  35. 61
  36. 4
  37. 7
  38. 69
  39. 15
  40. 48

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