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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 517 · 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 ₹55 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  2. 2.A grocer mixes 12 kg of tea at ₹38 per kg with 4 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 5 kg of tea at ₹92 per kg with 5 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 10 kg of tea at ₹37 per kg with 5 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 4 kg of tea at ₹47 per kg with 2 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹61 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  7. 7.A 18-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?
  8. 8.Rice at ₹53 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  9. 9.Rice at ₹30 per kg is mixed with rice at ₹62 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?
  10. 10.Rice at ₹70 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  11. 11.A 35-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  12. 12.A grocer mixes 7 kg of tea at ₹48 per kg with 4 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.A grocer mixes 7 kg of tea at ₹40 per kg with 6 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 6 kg of tea at ₹24 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 4 kg of tea at ₹46 per kg with 3 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹20 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  18. 18.A 49-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?
  19. 19.A jug has 40 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?
  20. 20.A 20-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?
  21. 21.A 104-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?
  22. 22.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  23. 23.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?
  24. 24.A jug has 20 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?
  25. 25.A jug has 20 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A grocer mixes 5 kg of tea at ₹71 per kg with 5 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹33 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  28. 28.A grocer mixes 2 kg of tea at ₹110 per kg with 6 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹32 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  30. 30.Rice at ₹63 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.A grocer mixes 2 kg of tea at ₹115 per kg with 2 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 12 kg of tea at ₹110 per kg with 4 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 4 kg of tea at ₹58 per kg with 12 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹77 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  35. 35.A 32-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  36. 36.A grocer mixes 3 kg of tea at ₹69 per kg with 12 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹62 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  38. 38.A 100-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?
  39. 39.Rice at ₹27 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  40. 40.A 110-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?

Answer key

  1. 5
  2. 42
  3. 96
  4. 42
  5. 43
  6. 15
  7. 6
  8. 40
  9. 4
  10. 3
  11. 14
  12. 68
  13. 50
  14. 70
  15. 28
  16. 61
  17. 35
  18. 7
  19. 60
  20. 4
  21. 16
  22. 3
  23. 50
  24. 70
  25. 55
  26. 68
  27. 20
  28. 68
  29. 5
  30. 1
  31. 83
  32. 97
  33. 85
  34. 10
  35. 8
  36. 37
  37. 5
  38. 40
  39. 8
  40. 10

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