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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 32 · 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 ₹76 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  2. 2.A grocer mixes 12 kg of tea at ₹53 per kg with 6 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 6 kg of tea at ₹49 per kg with 2 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.A grocer mixes 4 kg of tea at ₹99 per kg with 4 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 65-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  7. 7.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?
  8. 8.Rice at ₹56 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  9. 9.A 35-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?
  10. 10.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?
  11. 11.Rice at ₹40 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  12. 12.Rice at ₹28 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  13. 13.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.Rice at ₹55 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  15. 15.A 24-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  16. 16.Rice at ₹29 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  17. 17.A grocer mixes 2 kg of tea at ₹41 per kg with 3 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 11 kg of tea at ₹101 per kg with 11 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.Rice at ₹24 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  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.A grocer mixes 12 kg of tea at ₹113 per kg with 8 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹37 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 14 kg of the dearer rice?
  24. 24.Rice at ₹63 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  25. 25.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?
  26. 26.Rice at ₹26 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  27. 27.A grocer mixes 8 kg of tea at ₹67 per kg with 5 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹70 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  29. 29.A grocer mixes 7 kg of tea at ₹47 per kg with 4 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹55 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  31. 31.Rice at ₹65 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  32. 32.Rice at ₹47 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  33. 33.A grocer mixes 12 kg of tea at ₹111 per kg with 6 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A jug has 10 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?
  35. 35.Rice at ₹53 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  36. 36.A grocer mixes 10 kg of tea at ₹22 per kg with 10 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 2 kg of tea at ₹67 per kg with 10 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  39. 39.Rice at ₹72 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  40. 40.A grocer mixes 4 kg of tea at ₹34 per kg with 4 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 5
  2. 62
  3. 62
  4. 50
  5. 92
  6. 10
  7. 50
  8. 10
  9. 5
  10. 55
  11. 6
  12. 12
  13. 76
  14. 8
  15. 6
  16. 5
  17. 80
  18. 109
  19. 36
  20. 15
  21. 9
  22. 101
  23. 35
  24. 9
  25. 50
  26. 6
  27. 62
  28. 3
  29. 63
  30. 6
  31. 10
  32. 1
  33. 92
  34. 70
  35. 7
  36. 36
  37. 52
  38. 16
  39. 32
  40. 70

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