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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 961 · 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 jug has 10 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?
  2. 2.Rice at ₹47 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?
  3. 3.Rice at ₹49 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  4. 4.Rice at ₹76 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹116 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  5. 5.Rice at ₹26 per kg is mixed with rice at ₹70 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?
  6. 6.A grocer mixes 9 kg of tea at ₹108 per kg with 6 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 3 kg of tea at ₹40 per kg with 6 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 5 kg of tea at ₹80 per kg with 5 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹47 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  10. 10.Rice at ₹54 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  11. 11.A grocer mixes 11 kg of tea at ₹107 per kg with 11 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 6 kg of tea at ₹37 per kg with 6 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 2 kg of tea at ₹80 per kg with 4 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹50 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  15. 15.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  16. 16.Rice at ₹25 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  17. 17.A grocer mixes 8 kg of tea at ₹42 per kg with 11 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹45 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  19. 19.A grocer mixes 12 kg of tea at ₹111 per kg with 12 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹32 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  21. 21.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?
  22. 22.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 : 5?
  23. 23.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A grocer mixes 3 kg of tea at ₹61 per kg with 3 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.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 2 : 3?
  27. 27.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  28. 28.A grocer mixes 5 kg of tea at ₹69 per kg with 10 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 49-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  30. 30.A jug has 10 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?
  31. 31.Rice at ₹39 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.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?
  33. 33.A grocer mixes 2 kg of tea at ₹60 per kg with 2 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹43 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  35. 35.A 63-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  36. 36.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?
  37. 37.A grocer mixes 7 kg of tea at ₹106 per kg with 10 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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 4 : 9?
  39. 39.Rice at ₹31 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  40. 40.Rice at ₹79 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?

Answer key

  1. 60
  2. 8
  3. 16
  4. 1
  5. 10
  6. 88
  7. 38
  8. 87
  9. 18
  10. 3
  11. 68
  12. 48
  13. 78
  14. 4
  15. 18
  16. 20
  17. 86
  18. 24
  19. 109
  20. 32
  21. 70
  22. 7
  23. 25
  24. 48
  25. 60
  26. 40
  27. 20
  28. 101
  29. 14
  30. 40
  31. 10
  32. 40
  33. 82
  34. 6
  35. 9
  36. 25
  37. 76
  38. 8
  39. 3
  40. 5

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