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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 967 · 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 8 kg of tea at ₹84 per kg with 3 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A jug has 50 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?
  3. 3.A grocer mixes 4 kg of tea at ₹51 per kg with 6 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.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?
  6. 6.Rice at ₹33 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  7. 7.Rice at ₹22 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  8. 8.Rice at ₹52 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  9. 9.A 45-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?
  10. 10.A 90-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  11. 11.A 100-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?
  12. 12.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?
  13. 13.Rice at ₹65 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  14. 14.A jug has 40 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?
  15. 15.Rice at ₹58 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  16. 16.A grocer mixes 2 kg of tea at ₹66 per kg with 5 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.A 56-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  19. 19.A 55-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  20. 20.A 56-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?
  21. 21.Rice at ₹47 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  22. 22.A grocer mixes 6 kg of tea at ₹84 per kg with 2 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹28 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  24. 24.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  25. 25.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.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?
  27. 27.A grocer mixes 6 kg of tea at ₹93 per kg with 10 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹22 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  29. 29.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?
  30. 30.A grocer mixes 6 kg of tea at ₹105 per kg with 6 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹59 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  32. 32.Rice at ₹20 per kg is mixed with rice at ₹26 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  33. 33.A 56-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  34. 34.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  36. 36.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?
  37. 37.A 60-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?
  38. 38.Rice at ₹53 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  39. 39.Rice at ₹43 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 20 kg of the dearer rice?
  40. 40.A grocer mixes 12 kg of tea at ₹115 per kg with 12 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 69
  2. 25
  3. 57
  4. 36
  5. 50
  6. 12
  7. 3
  8. 30
  9. 18
  10. 40
  11. 20
  12. 50
  13. 7
  14. 52
  15. 21
  16. 46
  17. 8
  18. 28
  19. 10
  20. 28
  21. 24
  22. 83
  23. 7
  24. 16
  25. 50
  26. 60
  27. 53
  28. 24
  29. 40
  30. 106
  31. 3
  32. 8
  33. 21
  34. 25
  35. 9
  36. 50
  37. 24
  38. 2
  39. 15
  40. 78

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