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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 135 · 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 jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A 55-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?
  3. 3.Rice at ₹24 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  4. 4.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?
  5. 5.A jug has 10 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?
  6. 6.Rice at ₹30 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  7. 7.Rice at ₹40 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  8. 8.A grocer mixes 9 kg of tea at ₹28 per kg with 9 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 50-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?
  10. 10.Rice at ₹22 per kg is mixed with rice at ₹27 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  11. 11.A jug has 20 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 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?
  13. 13.A grocer mixes 2 kg of tea at ₹120 per kg with 8 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹54 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  15. 15.A grocer mixes 12 kg of tea at ₹88 per kg with 11 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹61 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  17. 17.Rice at ₹23 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  18. 18.A grocer mixes 9 kg of tea at ₹93 per kg with 2 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  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.A grocer mixes 12 kg of tea at ₹82 per kg with 10 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹32 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  22. 22.A grocer mixes 6 kg of tea at ₹53 per kg with 2 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  24. 24.Rice at ₹28 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  25. 25.Rice at ₹43 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  26. 26.Rice at ₹75 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  27. 27.A jug has 10 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?
  28. 28.A grocer mixes 5 kg of tea at ₹107 per kg with 10 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹25 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  30. 30.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  31. 31.A 130-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?
  32. 32.Rice at ₹32 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  33. 33.A grocer mixes 2 kg of tea at ₹28 per kg with 12 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹35 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  35. 35.Rice at ₹51 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  36. 36.Rice at ₹27 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  37. 37.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?
  38. 38.Rice at ₹28 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  39. 39.A grocer mixes 6 kg of tea at ₹73 per kg with 3 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 25
  2. 15
  3. 42
  4. 70
  5. 60
  6. 20
  7. 6
  8. 63
  9. 20
  10. 8
  11. 52
  12. 50
  13. 112
  14. 20
  15. 99
  16. 4
  17. 25
  18. 91
  19. 60
  20. 87
  21. 5
  22. 48
  23. 15
  24. 14
  25. 12
  26. 12
  27. 55
  28. 67
  29. 5
  30. 5
  31. 20
  32. 24
  33. 34
  34. 42
  35. 12
  36. 8
  37. 28
  38. 28
  39. 64
  40. 6

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