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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 83 · 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 grocer mixes 4 kg of tea at ₹118 per kg with 4 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.Rice at ₹32 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  4. 4.A 48-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  5. 5.A grocer mixes 10 kg of tea at ₹42 per kg with 10 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 12 kg of tea at ₹99 per kg with 4 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹23 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  8. 8.A grocer mixes 5 kg of tea at ₹113 per kg with 10 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  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 ₹66 per kg is mixed with rice at ₹102 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?
  11. 11.A grocer mixes 5 kg of tea at ₹20 per kg with 12 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹64 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  13. 13.A jug has 10 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.Rice at ₹47 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  15. 15.A grocer mixes 5 kg of tea at ₹103 per kg with 5 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  17. 17.Rice at ₹44 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.A grocer mixes 9 kg of tea at ₹30 per kg with 9 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 12-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?
  20. 20.A 64-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  21. 21.A grocer mixes 3 kg of tea at ₹101 per kg with 12 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹42 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  23. 23.Rice at ₹33 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  24. 24.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?
  25. 25.A grocer mixes 3 kg of tea at ₹26 per kg with 2 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.A grocer mixes 3 kg of tea at ₹84 per kg with 3 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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 : 5?
  29. 29.A grocer mixes 9 kg of tea at ₹69 per kg with 6 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹52 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  31. 31.A grocer mixes 4 kg of tea at ₹104 per kg with 12 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 70-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?
  33. 33.Rice at ₹47 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 15 kg of the dearer rice?
  34. 34.A grocer mixes 4 kg of tea at ₹65 per kg with 3 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 2 kg of tea at ₹113 per kg with 2 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹48 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  37. 37.A 49-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?
  38. 38.A grocer mixes 8 kg of tea at ₹105 per kg with 10 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.Rice at ₹56 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?

Answer key

  1. 85
  2. 25
  3. 35
  4. 6
  5. 77
  6. 86
  7. 28
  8. 63
  9. 50
  10. 28
  11. 44
  12. 14
  13. 70
  14. 40
  15. 74
  16. 4
  17. 5
  18. 33
  19. 4
  20. 8
  21. 85
  22. 12
  23. 20
  24. 64
  25. 50
  26. 36
  27. 100
  28. 12
  29. 61
  30. 15
  31. 77
  32. 10
  33. 18
  34. 68
  35. 116
  36. 5
  37. 7
  38. 100
  39. 25
  40. 15

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