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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 377 · 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 ₹73 per kg is mixed with rice at ₹136 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  2. 2.A jug has 40 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?
  3. 3.Rice at ₹71 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  4. 4.Rice at ₹59 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  5. 5.Rice at ₹56 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  6. 6.A 16-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  7. 7.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?
  8. 8.Rice at ₹75 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  9. 9.A grocer mixes 3 kg of tea at ₹80 per kg with 3 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 6 kg of tea at ₹35 per kg with 4 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 6 kg of tea at ₹75 per kg with 2 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹69 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  13. 13.Rice at ₹62 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  14. 14.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?
  15. 15.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 : 9?
  16. 16.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?
  17. 17.Rice at ₹38 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  18. 18.A 80-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  19. 19.A grocer mixes 12 kg of tea at ₹93 per kg with 4 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 56-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  21. 21.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?
  22. 22.Rice at ₹75 per kg is mixed with rice at ₹99 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?
  23. 23.A 44-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  24. 24.Rice at ₹47 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  25. 25.A grocer mixes 6 kg of tea at ₹33 per kg with 3 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 4 kg of tea at ₹54 per kg with 4 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 7 kg of tea at ₹110 per kg with 11 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹32 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  29. 29.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.Rice at ₹70 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹118 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  31. 31.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?
  32. 32.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  33. 33.Rice at ₹37 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  34. 34.A grocer mixes 11 kg of tea at ₹94 per kg with 11 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 5 kg of tea at ₹79 per kg with 3 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 4 kg of tea at ₹116 per kg with 3 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A jug has 20 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?
  38. 38.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?
  39. 39.A grocer mixes 11 kg of tea at ₹72 per kg with 6 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 7 kg of tea at ₹93 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 10
  2. 60
  3. 15
  4. 12
  5. 25
  6. 12
  7. 64
  8. 14
  9. 89
  10. 65
  11. 64
  12. 9
  13. 35
  14. 28
  15. 12
  16. 55
  17. 20
  18. 24
  19. 86
  20. 7
  21. 40
  22. 25
  23. 4
  24. 35
  25. 31
  26. 67
  27. 88
  28. 8
  29. 75
  30. 4
  31. 40
  32. 9
  33. 6
  34. 81
  35. 76
  36. 107
  37. 40
  38. 28
  39. 66
  40. 75

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