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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 697 · 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 ₹44 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  2. 2.A grocer mixes 7 kg of tea at ₹48 per kg with 7 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A jug has 20 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?
  4. 4.A grocer mixes 4 kg of tea at ₹44 per kg with 6 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 10 kg of tea at ₹25 per kg with 9 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹62 per kg is mixed with rice at ₹73 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?
  7. 7.Rice at ₹31 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.Rice at ₹49 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  9. 9.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.Rice at ₹35 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  11. 11.Rice at ₹55 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  12. 12.A jug has 20 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?
  13. 13.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?
  14. 14.A grocer mixes 4 kg of tea at ₹44 per kg with 2 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹37 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  16. 16.A grocer mixes 7 kg of tea at ₹39 per kg with 7 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.Rice at ₹46 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.A grocer mixes 3 kg of tea at ₹106 per kg with 4 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.Rice at ₹21 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  22. 22.Rice at ₹38 per kg is mixed with rice at ₹80 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?
  23. 23.A grocer mixes 5 kg of tea at ₹56 per kg with 5 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 90-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  25. 25.A grocer mixes 2 kg of tea at ₹52 per kg with 6 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹69 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.A 55-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?
  28. 28.Rice at ₹54 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  29. 29.Rice at ₹71 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  30. 30.Rice at ₹20 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  31. 31.A 130-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  32. 32.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?
  33. 33.Rice at ₹72 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  34. 34.A grocer mixes 5 kg of tea at ₹36 per kg with 10 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹36 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  36. 36.Rice at ₹63 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  37. 37.Rice at ₹23 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  38. 38.A 56-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?
  39. 39.A 117-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  40. 40.A grocer mixes 5 kg of tea at ₹86 per kg with 2 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 3
  2. 72
  3. 28
  4. 47
  5. 34
  6. 10
  7. 24
  8. 12
  9. 50
  10. 3
  11. 8
  12. 50
  13. 28
  14. 38
  15. 16
  16. 67
  17. 75
  18. 40
  19. 58
  20. 40
  21. 25
  22. 10
  23. 69
  24. 20
  25. 34
  26. 30
  27. 15
  28. 25
  29. 6
  30. 2
  31. 30
  32. 20
  33. 16
  34. 62
  35. 9
  36. 16
  37. 28
  38. 16
  39. 18
  40. 90

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