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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 913 · 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 2 kg of tea at ₹55 per kg with 11 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 4 kg of tea at ₹37 per kg with 12 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A jug has 10 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?
  4. 4.Rice at ₹61 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  5. 5.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.Rice at ₹37 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  7. 7.Rice at ₹53 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  8. 8.A grocer mixes 4 kg of tea at ₹30 per kg with 6 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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 : 2?
  10. 10.A 60-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  11. 11.A jug has 10 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?
  12. 12.Rice at ₹76 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  13. 13.A grocer mixes 6 kg of tea at ₹105 per kg with 3 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 21-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?
  15. 15.A grocer mixes 6 kg of tea at ₹63 per kg with 12 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 30-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  17. 17.A grocer mixes 2 kg of tea at ₹45 per kg with 4 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 11 kg of tea at ₹106 per kg with 11 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.Rice at ₹42 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  21. 21.Rice at ₹46 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  22. 22.Rice at ₹62 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 15 kg of the dearer rice?
  23. 23.A 63-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  24. 24.Rice at ₹37 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  25. 25.A grocer mixes 2 kg of tea at ₹49 per kg with 12 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.A 72-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  28. 28.A 30-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  29. 29.A grocer mixes 10 kg of tea at ₹22 per kg with 10 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 96-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?
  31. 31.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.Rice at ₹63 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  33. 33.Rice at ₹65 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  34. 34.Rice at ₹20 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  35. 35.Rice at ₹49 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  36. 36.A grocer mixes 8 kg of tea at ₹40 per kg with 2 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 88-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?
  38. 38.Rice at ₹72 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 5 kg of the dearer rice?
  39. 39.A 24-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?
  40. 40.A 49-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?

Answer key

  1. 33
  2. 43
  3. 80
  4. 36
  5. 50
  6. 40
  7. 1
  8. 69
  9. 4
  10. 10
  11. 60
  12. 2
  13. 97
  14. 3
  15. 55
  16. 24
  17. 81
  18. 68
  19. 40
  20. 7
  21. 8
  22. 6
  23. 7
  24. 1
  25. 61
  26. 50
  27. 9
  28. 20
  29. 69
  30. 32
  31. 80
  32. 8
  33. 35
  34. 1
  35. 2
  36. 44
  37. 8
  38. 3
  39. 32
  40. 28

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