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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 210 · 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 ₹72 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  2. 2.Rice at ₹25 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  3. 3.Rice at ₹56 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  4. 4.Rice at ₹31 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  5. 5.Rice at ₹22 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  6. 6.Rice at ₹67 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  7. 7.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?
  8. 8.A grocer mixes 11 kg of tea at ₹51 per kg with 5 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.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?
  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.A 45-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  13. 13.A grocer mixes 3 kg of tea at ₹55 per kg with 11 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 6 kg of tea at ₹115 per kg with 6 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹55 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  16. 16.A grocer mixes 2 kg of tea at ₹56 per kg with 8 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹65 per kg is mixed with rice at ₹83 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?
  18. 18.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?
  19. 19.A grocer mixes 11 kg of tea at ₹30 per kg with 9 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 4 kg of tea at ₹49 per kg with 2 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 81-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  22. 22.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?
  23. 23.A 14-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  24. 24.A 32-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?
  25. 25.A jug has 20 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?
  26. 26.Rice at ₹31 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  27. 27.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?
  28. 28.A grocer mixes 2 kg of tea at ₹89 per kg with 3 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  30. 30.Rice at ₹39 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  31. 31.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?
  32. 32.A 28-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  33. 33.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?
  34. 34.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 1 : 2?
  35. 35.A grocer mixes 8 kg of tea at ₹25 per kg with 4 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹21 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  37. 37.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?
  38. 38.A jug has 25 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?
  39. 39.Rice at ₹29 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  40. 40.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 1 : 1?

Answer key

  1. 14
  2. 7
  3. 12
  4. 12
  5. 10
  6. 10
  7. 60
  8. 46
  9. 60
  10. 52
  11. 75
  12. 5
  13. 88
  14. 77
  15. 18
  16. 80
  17. 1
  18. 75
  19. 57
  20. 68
  21. 9
  22. 20
  23. 8
  24. 16
  25. 50
  26. 48
  27. 25
  28. 104
  29. 27
  30. 30
  31. 40
  32. 8
  33. 50
  34. 8
  35. 26
  36. 18
  37. 40
  38. 50
  39. 8
  40. 6

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