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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 678 · 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 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?
  2. 2.A grocer mixes 3 kg of tea at ₹28 per kg with 11 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.A grocer mixes 2 kg of tea at ₹96 per kg with 4 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹34 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  6. 6.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A grocer mixes 4 kg of tea at ₹63 per kg with 4 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹52 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  9. 9.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?
  10. 10.A grocer mixes 2 kg of tea at ₹33 per kg with 3 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹73 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  12. 12.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.Rice at ₹27 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  14. 14.A grocer mixes 9 kg of tea at ₹37 per kg with 8 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 35-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  16. 16.A grocer mixes 7 kg of tea at ₹116 per kg with 4 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹33 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  18. 18.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  19. 19.A 64-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?
  20. 20.Rice at ₹77 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  21. 21.Rice at ₹73 per kg is mixed with rice at ₹129 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  22. 22.Rice at ₹65 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  23. 23.Rice at ₹43 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  24. 24.A grocer mixes 11 kg of tea at ₹105 per kg with 11 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹41 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  26. 26.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?
  27. 27.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?
  28. 28.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?
  29. 29.Rice at ₹72 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  30. 30.A jug has 40 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?
  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.Rice at ₹35 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  33. 33.Rice at ₹40 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  34. 34.A grocer mixes 10 kg of tea at ₹26 per kg with 2 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹31 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  36. 36.A grocer mixes 8 kg of tea at ₹79 per kg with 4 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  38. 38.Rice at ₹45 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  39. 39.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.A grocer mixes 2 kg of tea at ₹90 per kg with 2 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 40
  2. 39
  3. 50
  4. 54
  5. 3
  6. 25
  7. 56
  8. 8
  9. 28
  10. 42
  11. 12
  12. 50
  13. 12
  14. 29
  15. 14
  16. 84
  17. 21
  18. 9
  19. 32
  20. 40
  21. 18
  22. 5
  23. 18
  24. 112
  25. 20
  26. 28
  27. 20
  28. 64
  29. 28
  30. 60
  31. 40
  32. 2
  33. 12
  34. 40
  35. 8
  36. 70
  37. 18
  38. 9
  39. 50
  40. 104

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