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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 564 · 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 ₹46 per kg is mixed with rice at ₹134 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  2. 2.A 33-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  3. 3.Rice at ₹73 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  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.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.Rice at ₹39 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  7. 7.Rice at ₹78 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.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?
  10. 10.Rice at ₹21 per kg is mixed with rice at ₹26 per kg to make a mix worth ₹22 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  11. 11.A 63-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?
  12. 12.A grocer mixes 9 kg of tea at ₹46 per kg with 2 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 2 kg of tea at ₹20 per kg with 5 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹41 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  15. 15.A 80-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  16. 16.A jug has 25 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?
  17. 17.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?
  18. 18.Rice at ₹31 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  19. 19.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?
  20. 20.A grocer mixes 12 kg of tea at ₹76 per kg with 6 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹60 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  22. 22.A grocer mixes 2 kg of tea at ₹79 per kg with 8 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹69 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  24. 24.Rice at ₹77 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  25. 25.A grocer mixes 7 kg of tea at ₹39 per kg with 11 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 20 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?
  27. 27.Rice at ₹58 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  28. 28.A 35-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  29. 29.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A 30-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  31. 31.Rice at ₹27 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  32. 32.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?
  33. 33.Rice at ₹66 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  34. 34.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?
  35. 35.A grocer mixes 5 kg of tea at ₹73 per kg with 10 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 5 kg of tea at ₹89 per kg with 7 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 9 kg of tea at ₹62 per kg with 6 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 56-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?
  39. 39.A grocer mixes 4 kg of tea at ₹63 per kg with 7 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 42
  2. 3
  3. 5
  4. 80
  5. 60
  6. 5
  7. 6
  8. 60
  9. 50
  10. 28
  11. 28
  12. 52
  13. 80
  14. 24
  15. 40
  16. 50
  17. 50
  18. 16
  19. 60
  20. 80
  21. 8
  22. 55
  23. 12
  24. 16
  25. 83
  26. 40
  27. 2
  28. 5
  29. 50
  30. 10
  31. 5
  32. 50
  33. 20
  34. 40
  35. 41
  36. 82
  37. 58
  38. 24
  39. 56
  40. 64

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