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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 895 · 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 10 kg of tea at ₹67 per kg with 9 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.Rice at ₹45 per kg is mixed with rice at ₹133 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  4. 4.Rice at ₹62 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  5. 5.Rice at ₹61 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  6. 6.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 1 : 1?
  7. 7.A grocer mixes 2 kg of tea at ₹120 per kg with 4 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹80 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  9. 9.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.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?
  11. 11.A 12-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  12. 12.A jug has 20 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?
  13. 13.Rice at ₹52 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  14. 14.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?
  15. 15.Rice at ₹35 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  16. 16.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.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 3 : 4?
  18. 18.Rice at ₹69 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  19. 19.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  20. 20.Rice at ₹71 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  21. 21.Rice at ₹36 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  22. 22.A grocer mixes 10 kg of tea at ₹33 per kg with 10 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 72-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  24. 24.A grocer mixes 6 kg of tea at ₹45 per kg with 6 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹35 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  26. 26.A 56-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  27. 27.Rice at ₹21 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  28. 28.A 15-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  29. 29.A 56-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  30. 30.A grocer mixes 3 kg of tea at ₹31 per kg with 9 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 110-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?
  32. 32.Rice at ₹66 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  33. 33.A jug has 40 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?
  34. 34.Rice at ₹43 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  35. 35.A jug has 10 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?
  36. 36.Rice at ₹31 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  37. 37.A grocer mixes 2 kg of tea at ₹44 per kg with 5 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 10 kg of tea at ₹44 per kg with 5 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹25 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  40. 40.Rice at ₹20 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?

Answer key

  1. 76
  2. 50
  3. 5
  4. 18
  5. 4
  6. 4
  7. 76
  8. 2
  9. 75
  10. 8
  11. 8
  12. 70
  13. 3
  14. 52
  15. 3
  16. 60
  17. 12
  18. 24
  19. 16
  20. 28
  21. 2
  22. 35
  23. 6
  24. 41
  25. 40
  26. 32
  27. 24
  28. 15
  29. 16
  30. 40
  31. 30
  32. 18
  33. 28
  34. 8
  35. 40
  36. 4
  37. 94
  38. 36
  39. 28
  40. 12

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