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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 331 · 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 ₹63 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  2. 2.Rice at ₹66 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  3. 3.A 90-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?
  4. 4.A grocer mixes 8 kg of tea at ₹22 per kg with 3 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.Rice at ₹30 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  7. 7.Rice at ₹60 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  8. 8.A 42-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  9. 9.A grocer mixes 7 kg of tea at ₹35 per kg with 4 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 21-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  11. 11.Rice at ₹49 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  12. 12.A grocer mixes 2 kg of tea at ₹117 per kg with 2 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹62 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  14. 14.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  16. 16.Rice at ₹34 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  17. 17.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?
  18. 18.A grocer mixes 11 kg of tea at ₹40 per kg with 11 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A jug has 40 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?
  20. 20.A grocer mixes 3 kg of tea at ₹36 per kg with 11 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹44 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  22. 22.A 45-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  23. 23.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?
  24. 24.A grocer mixes 8 kg of tea at ₹38 per kg with 4 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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 : 6?
  26. 26.Rice at ₹42 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  27. 27.Rice at ₹78 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  28. 28.A grocer mixes 2 kg of tea at ₹47 per kg with 7 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 6 kg of tea at ₹28 per kg with 3 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 110-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  31. 31.Rice at ₹40 per kg is mixed with rice at ₹72 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?
  32. 32.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?
  33. 33.A 30-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  34. 34.A 77-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  35. 35.Rice at ₹62 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  36. 36.A 56-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?
  37. 37.Rice at ₹45 per kg is mixed with rice at ₹60 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?
  38. 38.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?
  39. 39.A grocer mixes 6 kg of tea at ₹107 per kg with 6 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹26 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?

Answer key

  1. 10
  2. 21
  3. 20
  4. 37
  5. 60
  6. 10
  7. 16
  8. 6
  9. 55
  10. 9
  11. 12
  12. 111
  13. 18
  14. 60
  15. 20
  16. 30
  17. 50
  18. 46
  19. 28
  20. 102
  21. 2
  22. 20
  23. 50
  24. 32
  25. 7
  26. 3
  27. 20
  28. 54
  29. 30
  30. 20
  31. 5
  32. 80
  33. 18
  34. 28
  35. 48
  36. 16
  37. 1
  38. 40
  39. 112
  40. 4

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