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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 469 · 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.Rice at ₹73 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  2. 2.A 36-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  3. 3.A 18-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?
  4. 4.A 42-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?
  5. 5.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.Rice at ₹56 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  7. 7.A grocer mixes 8 kg of tea at ₹21 per kg with 4 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.A grocer mixes 12 kg of tea at ₹90 per kg with 3 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.A grocer mixes 6 kg of tea at ₹24 per kg with 12 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 12-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?
  13. 13.A grocer mixes 9 kg of tea at ₹99 per kg with 9 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹42 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  15. 15.Rice at ₹24 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  16. 16.Rice at ₹62 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  17. 17.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?
  18. 18.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?
  19. 19.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.A grocer mixes 10 kg of tea at ₹81 per kg with 3 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹47 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  22. 22.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?
  23. 23.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?
  24. 24.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?
  25. 25.Rice at ₹59 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  26. 26.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?
  27. 27.A 30-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?
  28. 28.A grocer mixes 4 kg of tea at ₹79 per kg with 7 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 84-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  30. 30.A grocer mixes 7 kg of tea at ₹22 per kg with 7 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹20 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  32. 32.A grocer mixes 10 kg of tea at ₹116 per kg with 3 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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 : 5?
  34. 34.Rice at ₹65 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  35. 35.A 27-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  36. 36.A grocer mixes 5 kg of tea at ₹78 per kg with 8 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 12 kg of tea at ₹106 per kg with 4 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹25 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  39. 39.Rice at ₹41 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  40. 40.A grocer mixes 9 kg of tea at ₹37 per kg with 9 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 48
  2. 9
  3. 9
  4. 21
  5. 25
  6. 20
  7. 24
  8. 36
  9. 80
  10. 60
  11. 34
  12. 3
  13. 89
  14. 24
  15. 40
  16. 8
  17. 75
  18. 70
  19. 50
  20. 90
  21. 10
  22. 52
  23. 40
  24. 50
  25. 15
  26. 50
  27. 18
  28. 72
  29. 7
  30. 70
  31. 8
  32. 95
  33. 4
  34. 1
  35. 12
  36. 54
  37. 103
  38. 3
  39. 1
  40. 55

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