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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 592 · 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 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  2. 2.Rice at ₹39 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  3. 3.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?
  4. 4.A jug has 40 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?
  5. 5.Rice at ₹66 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  6. 6.Rice at ₹44 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  7. 7.A 70-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  8. 8.A grocer mixes 12 kg of tea at ₹57 per kg with 8 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 2 kg of tea at ₹97 per kg with 4 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.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?
  12. 12.A 28-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?
  13. 13.A grocer mixes 12 kg of tea at ₹27 per kg with 3 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 10 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?
  15. 15.A 90-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  16. 16.Rice at ₹59 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  17. 17.A 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  18. 18.A 49-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  19. 19.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?
  20. 20.A grocer mixes 8 kg of tea at ₹118 per kg with 2 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 9 kg of tea at ₹89 per kg with 6 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹33 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  23. 23.Rice at ₹25 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  24. 24.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?
  25. 25.Rice at ₹59 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  26. 26.A grocer mixes 5 kg of tea at ₹32 per kg with 5 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹80 per kg is mixed with rice at ₹136 per kg to make a mix worth ₹120 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  28. 28.A grocer mixes 11 kg of tea at ₹120 per kg with 11 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 42-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  30. 30.A grocer mixes 7 kg of tea at ₹111 per kg with 11 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 45-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?
  32. 32.A 60-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?
  33. 33.A 16-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  34. 34.A 88-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  35. 35.A grocer mixes 12 kg of tea at ₹77 per kg with 3 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹78 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.Rice at ₹47 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  38. 38.A grocer mixes 9 kg of tea at ₹74 per kg with 2 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 11 kg of tea at ₹84 per kg with 11 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹55 per kg is mixed with rice at ₹85 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?

Answer key

  1. 4
  2. 12
  3. 20
  4. 28
  5. 4
  6. 12
  7. 28
  8. 59
  9. 53
  10. 40
  11. 60
  12. 14
  13. 43
  14. 55
  15. 18
  16. 7
  17. 16
  18. 7
  19. 75
  20. 105
  21. 75
  22. 4
  23. 5
  24. 50
  25. 40
  26. 60
  27. 8
  28. 97
  29. 18
  30. 100
  31. 5
  32. 20
  33. 8
  34. 8
  35. 69
  36. 6
  37. 8
  38. 70
  39. 63
  40. 8

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