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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 213 · 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 ₹37 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  2. 2.A grocer mixes 2 kg of tea at ₹81 per kg with 5 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.A 18-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?
  5. 5.Rice at ₹54 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  6. 6.Rice at ₹20 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  7. 7.Rice at ₹61 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  8. 8.A 99-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?
  9. 9.Rice at ₹24 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  10. 10.A grocer mixes 2 kg of tea at ₹45 per kg with 11 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹77 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  12. 12.Rice at ₹61 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  13. 13.A grocer mixes 9 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 ₹)?
  14. 14.A grocer mixes 3 kg of tea at ₹95 per kg with 8 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 28-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  16. 16.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?
  17. 17.A 24-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  18. 18.A 80-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  19. 19.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?
  20. 20.Rice at ₹62 per kg is mixed with rice at ₹134 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  21. 21.Rice at ₹33 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  22. 22.A grocer mixes 11 kg of tea at ₹104 per kg with 12 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹46 per kg is mixed with rice at ₹134 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  24. 24.A grocer mixes 9 kg of tea at ₹39 per kg with 12 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 99-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  26. 26.A grocer mixes 2 kg of tea at ₹95 per kg with 8 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹56 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  28. 28.A grocer mixes 5 kg of tea at ₹22 per kg with 3 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.A grocer mixes 4 kg of tea at ₹94 per kg with 4 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹21 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  32. 32.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?
  33. 33.A grocer mixes 4 kg of tea at ₹20 per kg with 3 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  35. 35.A grocer mixes 9 kg of tea at ₹94 per kg with 7 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 2 kg of tea at ₹76 per kg with 6 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 4 kg of tea at ₹63 per kg with 3 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 32-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  39. 39.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?
  40. 40.Rice at ₹27 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 10 kg of the dearer rice?

Answer key

  1. 4
  2. 56
  3. 25
  4. 6
  5. 8
  6. 4
  7. 6
  8. 27
  9. 4
  10. 67
  11. 12
  12. 8
  13. 69
  14. 111
  15. 16
  16. 75
  17. 32
  18. 40
  19. 60
  20. 35
  21. 2
  22. 80
  23. 40
  24. 67
  25. 18
  26. 63
  27. 16
  28. 52
  29. 70
  30. 99
  31. 6
  32. 70
  33. 35
  34. 4
  35. 87
  36. 43
  37. 60
  38. 16
  39. 28
  40. 6

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