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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 780 · 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 24-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  2. 2.Rice at ₹51 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.Rice at ₹26 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  4. 4.A grocer mixes 9 kg of tea at ₹80 per kg with 3 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 48-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  6. 6.A grocer mixes 5 kg of tea at ₹23 per kg with 5 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 3 kg of tea at ₹84 per kg with 2 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 12 kg of tea at ₹24 per kg with 2 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 6 kg of tea at ₹83 per kg with 9 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.Rice at ₹25 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  13. 13.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?
  14. 14.Rice at ₹77 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  15. 15.Rice at ₹25 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  16. 16.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A 48-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  18. 18.Rice at ₹31 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  19. 19.A grocer mixes 6 kg of tea at ₹47 per kg with 11 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  21. 21.A grocer mixes 3 kg of tea at ₹93 per kg with 12 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.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 : 4?
  24. 24.A 49-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  25. 25.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?
  26. 26.Rice at ₹21 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  27. 27.A 44-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  28. 28.Rice at ₹79 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  29. 29.Rice at ₹22 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  30. 30.A 48-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?
  31. 31.A 55-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  32. 32.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.Rice at ₹57 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  34. 34.Rice at ₹51 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.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 1 : 3?
  36. 36.A grocer mixes 6 kg of tea at ₹38 per kg with 2 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  39. 39.Rice at ₹29 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  40. 40.A grocer mixes 4 kg of tea at ₹33 per kg with 8 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 4
  2. 10
  3. 40
  4. 71
  5. 24
  6. 51
  7. 64
  8. 27
  9. 71
  10. 55
  11. 50
  12. 10
  13. 60
  14. 14
  15. 16
  16. 50
  17. 32
  18. 10
  19. 80
  20. 10
  21. 97
  22. 28
  23. 10
  24. 7
  25. 50
  26. 2
  27. 12
  28. 16
  29. 30
  30. 24
  31. 20
  32. 60
  33. 25
  34. 6
  35. 10
  36. 42
  37. 60
  38. 8
  39. 5
  40. 91

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