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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 397 · 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. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹73 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  3. 3.A grocer mixes 6 kg of tea at ₹29 per kg with 7 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹37 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  5. 5.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  6. 6.Rice at ₹69 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  7. 7.Rice at ₹75 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.Rice at ₹45 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  9. 9.A jug has 10 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.Rice at ₹25 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  11. 11.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  12. 12.Rice at ₹36 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  13. 13.Rice at ₹50 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  14. 14.A grocer mixes 2 kg of tea at ₹114 per kg with 6 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 2 kg of tea at ₹110 per kg with 4 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  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.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?
  18. 18.Rice at ₹32 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.A grocer mixes 12 kg of tea at ₹55 per kg with 2 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A jug has 10 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?
  21. 21.A 45-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  22. 22.A 24-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  23. 23.A 16-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  24. 24.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?
  25. 25.Rice at ₹24 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  26. 26.A 36-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?
  27. 27.A grocer mixes 7 kg of tea at ₹49 per kg with 6 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹72 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.A grocer mixes 10 kg of tea at ₹80 per kg with 2 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 7 kg of tea at ₹116 per kg with 7 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 6 kg of tea at ₹105 per kg with 4 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 12 kg of tea at ₹39 per kg with 8 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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?
  34. 34.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  35. 35.Rice at ₹40 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  36. 36.Rice at ₹62 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  37. 37.Rice at ₹33 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  38. 38.Rice at ₹39 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  39. 39.Rice at ₹32 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  40. 40.A 48-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?

Answer key

  1. 64
  2. 12
  3. 50
  4. 8
  5. 12
  6. 35
  7. 20
  8. 15
  9. 40
  10. 4
  11. 8
  12. 14
  13. 8
  14. 60
  15. 68
  16. 55
  17. 28
  18. 2
  19. 56
  20. 80
  21. 9
  22. 12
  23. 4
  24. 25
  25. 10
  26. 6
  27. 37
  28. 10
  29. 73
  30. 101
  31. 81
  32. 67
  33. 20
  34. 9
  35. 21
  36. 2
  37. 24
  38. 4
  39. 2
  40. 16

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