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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 406 · 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 10 kg of tea at ₹47 per kg with 5 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  3. 3.Rice at ₹75 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  4. 4.A 35-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?
  5. 5.A 63-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  6. 6.A grocer mixes 11 kg of tea at ₹98 per kg with 11 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 66-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  8. 8.Rice at ₹74 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  9. 9.Rice at ₹68 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  10. 10.A grocer mixes 7 kg of tea at ₹42 per kg with 3 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 9-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?
  12. 12.A grocer mixes 9 kg of tea at ₹101 per kg with 10 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.A jug has 25 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?
  15. 15.A 60-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  16. 16.Rice at ₹22 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  17. 17.Rice at ₹61 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  18. 18.Rice at ₹60 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  19. 19.A jug has 10 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?
  20. 20.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?
  21. 21.A jug has 20 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?
  22. 22.A 78-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  23. 23.Rice at ₹40 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  24. 24.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?
  25. 25.A 64-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  26. 26.A grocer mixes 6 kg of tea at ₹76 per kg with 9 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A jug has 10 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?
  28. 28.A 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  29. 29.A jug has 10 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?
  30. 30.A grocer mixes 4 kg of tea at ₹54 per kg with 8 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 2 kg of tea at ₹63 per kg with 2 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹31 per kg is mixed with rice at ₹51 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?
  33. 33.A 56-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?
  34. 34.Rice at ₹27 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  35. 35.Rice at ₹51 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  36. 36.A grocer mixes 4 kg of tea at ₹44 per kg with 12 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 28-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  38. 38.Rice at ₹60 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  39. 39.Rice at ₹54 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  40. 40.Rice at ₹37 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?

Answer key

  1. 48
  2. 7
  3. 1
  4. 20
  5. 9
  6. 90
  7. 12
  8. 35
  9. 1
  10. 48
  11. 12
  12. 91
  13. 60
  14. 50
  15. 30
  16. 6
  17. 5
  18. 4
  19. 60
  20. 28
  21. 60
  22. 12
  23. 16
  24. 50
  25. 16
  26. 43
  27. 80
  28. 2
  29. 70
  30. 60
  31. 79
  32. 7
  33. 8
  34. 12
  35. 21
  36. 95
  37. 14
  38. 18
  39. 16
  40. 24

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