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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 840 · 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 grocer mixes 2 kg of tea at ₹102 per kg with 12 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹32 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  3. 3.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?
  4. 4.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.Rice at ₹25 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  6. 6.A grocer mixes 2 kg of tea at ₹64 per kg with 10 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 28-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  8. 8.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?
  9. 9.Rice at ₹50 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  10. 10.Rice at ₹23 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  11. 11.Rice at ₹45 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  12. 12.A grocer mixes 6 kg of tea at ₹22 per kg with 8 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.A grocer mixes 12 kg of tea at ₹115 per kg with 4 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹34 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹42 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. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  18. 18.A 77-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  19. 19.Rice at ₹25 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  20. 20.A 45-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  21. 21.Rice at ₹36 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 8 kg of the dearer rice?
  22. 22.Rice at ₹27 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  23. 23.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?
  24. 24.Rice at ₹24 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  25. 25.Rice at ₹77 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  26. 26.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.A grocer mixes 8 kg of tea at ₹78 per kg with 4 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹35 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.A 10-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  30. 30.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 : 5?
  31. 31.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?
  32. 32.Rice at ₹71 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  33. 33.A grocer mixes 2 kg of tea at ₹93 per kg with 7 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 40-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?
  35. 35.A 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  36. 36.A grocer mixes 2 kg of tea at ₹93 per kg with 2 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 9 kg of tea at ₹38 per kg with 9 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹24 per kg is mixed with rice at ₹59 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?
  39. 39.Rice at ₹39 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  40. 40.Rice at ₹54 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?

Answer key

  1. 54
  2. 4
  3. 64
  4. 80
  5. 12
  6. 84
  7. 12
  8. 25
  9. 12
  10. 15
  11. 30
  12. 46
  13. 40
  14. 95
  15. 40
  16. 76
  17. 40
  18. 21
  19. 6
  20. 15
  21. 32
  22. 35
  23. 55
  24. 6
  25. 4
  26. 60
  27. 70
  28. 24
  29. 6
  30. 16
  31. 55
  32. 3
  33. 107
  34. 8
  35. 6
  36. 69
  37. 76
  38. 32
  39. 40
  40. 1

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