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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 741 · 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 6 kg of tea at ₹82 per kg with 4 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹61 per kg is mixed with rice at ₹79 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?
  3. 3.Rice at ₹62 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  4. 4.A jug has 10 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?
  5. 5.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?
  6. 6.Rice at ₹52 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  7. 7.Rice at ₹77 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  8. 8.Rice at ₹72 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  9. 9.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.A 66-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  11. 11.A grocer mixes 2 kg of tea at ₹21 per kg with 3 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 3 kg of tea at ₹119 per kg with 3 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.Rice at ₹22 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  15. 15.Rice at ₹44 per kg is mixed with rice at ₹79 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?
  16. 16.A grocer mixes 9 kg of tea at ₹104 per kg with 2 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  18. 18.Rice at ₹69 per kg is mixed with rice at ₹81 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?
  19. 19.A grocer mixes 10 kg of tea at ₹60 per kg with 8 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.Rice at ₹43 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  22. 22.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.Rice at ₹20 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.A 81-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  25. 25.A 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  26. 26.A grocer mixes 5 kg of tea at ₹73 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 5 kg of tea at ₹41 per kg with 5 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 35-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  29. 29.A 84-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  30. 30.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  31. 31.Rice at ₹56 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  32. 32.A grocer mixes 7 kg of tea at ₹53 per kg with 7 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 4 kg of tea at ₹36 per kg with 4 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.Rice at ₹41 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  36. 36.Rice at ₹33 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  37. 37.Rice at ₹20 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.Rice at ₹56 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  39. 39.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?
  40. 40.Rice at ₹22 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 90
  2. 16
  3. 6
  4. 50
  5. 25
  6. 4
  7. 10
  8. 30
  9. 50
  10. 12
  11. 66
  12. 70
  13. 40
  14. 2
  15. 10
  16. 106
  17. 16
  18. 12
  19. 80
  20. 75
  21. 6
  22. 36
  23. 5
  24. 18
  25. 20
  26. 58
  27. 64
  28. 20
  29. 28
  30. 9
  31. 48
  32. 46
  33. 60
  34. 50
  35. 2
  36. 6
  37. 10
  38. 3
  39. 25
  40. 18

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