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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 825 · 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 ₹34 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  2. 2.A grocer mixes 3 kg of tea at ₹25 per kg with 8 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹21 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  4. 4.A grocer mixes 9 kg of tea at ₹72 per kg with 9 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.Rice at ₹27 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  7. 7.A grocer mixes 10 kg of tea at ₹81 per kg with 4 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 3 kg of tea at ₹114 per kg with 3 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹67 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  10. 10.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?
  11. 11.Rice at ₹68 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  12. 12.Rice at ₹41 per kg is mixed with rice at ₹129 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  13. 13.A 70-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?
  14. 14.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?
  15. 15.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  16. 16.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?
  17. 17.A grocer mixes 9 kg of tea at ₹88 per kg with 9 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 72-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  19. 19.Rice at ₹44 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.A 48-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  21. 21.A jug has 20 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A grocer mixes 10 kg of tea at ₹59 per kg with 2 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 21-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?
  24. 24.Rice at ₹80 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  25. 25.A grocer mixes 2 kg of tea at ₹78 per kg with 4 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 5 kg of tea at ₹30 per kg with 7 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹78 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?
  28. 28.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?
  29. 29.A grocer mixes 8 kg of tea at ₹110 per kg with 12 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 5 kg of tea at ₹40 per kg with 3 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.Rice at ₹53 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  33. 33.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  34. 34.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A jug has 20 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?
  36. 36.A grocer mixes 6 kg of tea at ₹33 per kg with 2 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 2 kg of tea at ₹20 per kg with 7 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 33-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  39. 39.A grocer mixes 3 kg of tea at ₹44 per kg with 8 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹56 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?

Answer key

  1. 6
  2. 33
  3. 10
  4. 88
  5. 60
  6. 1
  7. 77
  8. 86
  9. 28
  10. 40
  11. 3
  12. 48
  13. 40
  14. 50
  15. 4
  16. 50
  17. 86
  18. 12
  19. 12
  20. 6
  21. 70
  22. 62
  23. 6
  24. 5
  25. 56
  26. 44
  27. 10
  28. 60
  29. 86
  30. 43
  31. 40
  32. 20
  33. 6
  34. 50
  35. 28
  36. 50
  37. 34
  38. 12
  39. 28
  40. 2

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