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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 8 · 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. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹46 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.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?
  4. 4.Rice at ₹59 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  5. 5.Rice at ₹24 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  6. 6.Rice at ₹62 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 35 kg of the dearer rice?
  7. 7.A grocer mixes 9 kg of tea at ₹84 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 2 kg of tea at ₹49 per kg with 2 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹75 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  10. 10.A 40-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  11. 11.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.Rice at ₹36 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  13. 13.A jug has 10 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?
  14. 14.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?
  15. 15.Rice at ₹47 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  16. 16.A grocer mixes 3 kg of tea at ₹25 per kg with 6 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.Rice at ₹56 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  19. 19.Rice at ₹23 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  20. 20.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 40 kg of the dearer rice?
  21. 21.A jug has 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A grocer mixes 8 kg of tea at ₹61 per kg with 10 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 60-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  24. 24.A 42-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  25. 25.A grocer mixes 2 kg of tea at ₹26 per kg with 2 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 9 kg of tea at ₹49 per kg with 6 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 12 kg of tea at ₹60 per kg with 6 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 3 kg of tea at ₹99 per kg with 12 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹45 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  30. 30.Rice at ₹80 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  31. 31.Rice at ₹69 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  32. 32.Rice at ₹61 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  33. 33.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?
  34. 34.A grocer mixes 5 kg of tea at ₹109 per kg with 8 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹45 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  36. 36.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?
  37. 37.A jug has 50 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.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?
  39. 39.A 78-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  40. 40.A 72-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?

Answer key

  1. 40
  2. 36
  3. 40
  4. 9
  5. 25
  6. 28
  7. 76
  8. 58
  9. 5
  10. 10
  11. 75
  12. 3
  13. 75
  14. 80
  15. 36
  16. 61
  17. 50
  18. 8
  19. 32
  20. 16
  21. 68
  22. 81
  23. 12
  24. 24
  25. 49
  26. 61
  27. 74
  28. 47
  29. 8
  30. 5
  31. 15
  32. 2
  33. 70
  34. 85
  35. 10
  36. 60
  37. 50
  38. 40
  39. 24
  40. 32

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