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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 281 · 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 ₹63 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  2. 2.A 99-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.A grocer mixes 11 kg of tea at ₹90 per kg with 4 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 2 kg of tea at ₹58 per kg with 3 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 6 kg of tea at ₹22 per kg with 11 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹68 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 21 kg of the dearer rice?
  7. 7.A grocer mixes 9 kg of tea at ₹29 per kg with 9 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹32 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  9. 9.Rice at ₹72 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  10. 10.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?
  11. 11.A grocer mixes 4 kg of tea at ₹116 per kg with 6 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 15-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  13. 13.Rice at ₹53 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  14. 14.Rice at ₹25 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  15. 15.Rice at ₹25 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  16. 16.A 45-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  17. 17.Rice at ₹37 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  18. 18.A 70-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  19. 19.A 42-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  20. 20.A grocer mixes 2 kg of tea at ₹63 per kg with 12 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 12 kg of tea at ₹89 per kg with 6 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹38 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  23. 23.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?
  24. 24.Rice at ₹61 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  25. 25.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  26. 26.A grocer mixes 2 kg of tea at ₹97 per kg with 7 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A jug has 50 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.Rice at ₹37 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  29. 29.A 24-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  30. 30.Rice at ₹40 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  31. 31.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 1 kg of the dearer rice?
  32. 32.A grocer mixes 8 kg of tea at ₹105 per kg with 12 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  34. 34.A grocer mixes 5 kg of tea at ₹69 per kg with 3 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 42-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  36. 36.A 10-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  37. 37.Rice at ₹72 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  38. 38.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?
  39. 39.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.A 50-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?

Answer key

  1. 10
  2. 9
  3. 86
  4. 40
  5. 66
  6. 14
  7. 60
  8. 5
  9. 2
  10. 50
  11. 98
  12. 9
  13. 7
  14. 6
  15. 40
  16. 36
  17. 3
  18. 10
  19. 6
  20. 69
  21. 82
  22. 5
  23. 60
  24. 35
  25. 15
  26. 83
  27. 50
  28. 25
  29. 9
  30. 28
  31. 5
  32. 87
  33. 3
  34. 54
  35. 18
  36. 8
  37. 15
  38. 52
  39. 40
  40. 20

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