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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 314 · 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 ₹48 per kg with 4 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 8 kg of tea at ₹109 per kg with 8 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  4. 4.A 21-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?
  5. 5.A 28-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  6. 6.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  7. 7.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.A grocer mixes 4 kg of tea at ₹75 per kg with 3 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 80-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?
  10. 10.Rice at ₹47 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  11. 11.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?
  12. 12.A grocer mixes 4 kg of tea at ₹54 per kg with 8 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹77 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  14. 14.Rice at ₹37 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  15. 15.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?
  16. 16.Rice at ₹26 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  17. 17.Rice at ₹29 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  18. 18.A 44-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?
  19. 19.Rice at ₹32 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  20. 20.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?
  21. 21.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  22. 22.Rice at ₹58 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.Rice at ₹69 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.A 14-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?
  25. 25.A grocer mixes 12 kg of tea at ₹35 per kg with 3 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.A 63-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  28. 28.Rice at ₹33 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  29. 29.Rice at ₹27 per kg is mixed with rice at ₹67 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?
  30. 30.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?
  31. 31.A grocer mixes 10 kg of tea at ₹40 per kg with 5 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹65 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  33. 33.A grocer mixes 10 kg of tea at ₹89 per kg with 10 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 36-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  35. 35.A grocer mixes 4 kg of tea at ₹96 per kg with 4 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹35 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  37. 37.A grocer mixes 2 kg of tea at ₹43 per kg with 10 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 117-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  39. 39.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 6 : 5?
  40. 40.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?

Answer key

  1. 52
  2. 70
  3. 12
  4. 3
  5. 12
  6. 3
  7. 40
  8. 87
  9. 20
  10. 12
  11. 50
  12. 70
  13. 16
  14. 18
  15. 20
  16. 8
  17. 6
  18. 8
  19. 24
  20. 50
  21. 9
  22. 10
  23. 36
  24. 2
  25. 40
  26. 52
  27. 36
  28. 8
  29. 9
  30. 40
  31. 59
  32. 12
  33. 79
  34. 8
  35. 104
  36. 20
  37. 53
  38. 27
  39. 24
  40. 6

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