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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 223 · 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 ₹47 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  2. 2.Rice at ₹61 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  3. 3.A grocer mixes 10 kg of tea at ₹58 per kg with 11 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 2 kg of tea at ₹113 per kg with 2 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 3 kg of tea at ₹46 per kg with 9 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 3 kg of tea at ₹21 per kg with 2 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 5 kg of tea at ₹41 per kg with 5 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 6 kg of tea at ₹51 per kg with 12 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹30 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  10. 10.A grocer mixes 10 kg of tea at ₹117 per kg with 6 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 21-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  12. 12.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?
  13. 13.A 55-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  14. 14.Rice at ₹55 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  15. 15.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 : 5?
  16. 16.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 1 : 1?
  17. 17.A 21-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?
  18. 18.A grocer mixes 5 kg of tea at ₹104 per kg with 5 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 35-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?
  20. 20.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?
  21. 21.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?
  22. 22.Rice at ₹56 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  23. 23.A grocer mixes 7 kg of tea at ₹119 per kg with 8 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹30 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  25. 25.A grocer mixes 5 kg of tea at ₹29 per kg with 4 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.Rice at ₹33 per kg is mixed with rice at ₹105 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?
  28. 28.A grocer mixes 3 kg of tea at ₹69 per kg with 3 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 6 kg of tea at ₹89 per kg with 9 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹34 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  32. 32.A 30-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?
  33. 33.A grocer mixes 2 kg of tea at ₹61 per kg with 11 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹26 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  35. 35.A grocer mixes 6 kg of tea at ₹27 per kg with 4 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.A grocer mixes 6 kg of tea at ₹109 per kg with 6 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.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?
  40. 40.A jug has 40 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 14
  2. 7
  3. 80
  4. 104
  5. 40
  6. 55
  7. 58
  8. 63
  9. 24
  10. 105
  11. 7
  12. 52
  13. 5
  14. 10
  15. 9
  16. 3
  17. 3
  18. 95
  19. 7
  20. 25
  21. 25
  22. 3
  23. 111
  24. 8
  25. 65
  26. 20
  27. 32
  28. 55
  29. 62
  30. 2
  31. 12
  32. 12
  33. 83
  34. 7
  35. 59
  36. 40
  37. 74
  38. 60
  39. 60
  40. 25

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