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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 414 · 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 8-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?
  2. 2.A grocer mixes 7 kg of tea at ₹120 per kg with 7 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹23 per kg is mixed with rice at ₹27 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  4. 4.A grocer mixes 2 kg of tea at ₹113 per kg with 4 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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 7 : 6?
  6. 6.A 35-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  7. 7.Rice at ₹64 per kg is mixed with rice at ₹109 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?
  8. 8.Rice at ₹26 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  9. 9.A grocer mixes 3 kg of tea at ₹102 per kg with 8 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 9 kg of tea at ₹84 per kg with 2 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 7 kg of tea at ₹89 per kg with 10 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.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?
  14. 14.A grocer mixes 3 kg of tea at ₹23 per kg with 8 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.A grocer mixes 6 kg of tea at ₹113 per kg with 3 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 20 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?
  18. 18.Rice at ₹27 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  19. 19.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?
  20. 20.A 35-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  21. 21.Rice at ₹44 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  22. 22.A grocer mixes 8 kg of tea at ₹86 per kg with 2 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.A grocer mixes 12 kg of tea at ₹75 per kg with 6 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.A grocer mixes 5 kg of tea at ₹56 per kg with 4 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹53 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  28. 28.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 : 2?
  29. 29.Rice at ₹62 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  30. 30.A grocer mixes 10 kg of tea at ₹25 per kg with 8 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.Rice at ₹51 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  33. 33.Rice at ₹28 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  34. 34.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?
  35. 35.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A jug has 10 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?
  37. 37.A grocer mixes 8 kg of tea at ₹34 per kg with 10 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.Rice at ₹43 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  40. 40.Rice at ₹39 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?

Answer key

  1. 4
  2. 84
  3. 12
  4. 103
  5. 2
  6. 28
  7. 16
  8. 16
  9. 54
  10. 78
  11. 69
  12. 50
  13. 40
  14. 63
  15. 25
  16. 104
  17. 52
  18. 1
  19. 76
  20. 20
  21. 4
  22. 89
  23. 60
  24. 76
  25. 75
  26. 40
  27. 2
  28. 6
  29. 4
  30. 65
  31. 20
  32. 3
  33. 20
  34. 50
  35. 75
  36. 70
  37. 29
  38. 40
  39. 18
  40. 12

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