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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 130 · 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 4 kg of tea at ₹119 per kg with 10 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 6 kg of tea at ₹79 per kg with 2 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 32-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  4. 4.A 16-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  5. 5.Rice at ₹24 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  6. 6.A grocer mixes 2 kg of tea at ₹27 per kg with 3 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹41 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  8. 8.Rice at ₹49 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  9. 9.Rice at ₹58 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  10. 10.A jug has 40 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?
  11. 11.Rice at ₹67 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  12. 12.Rice at ₹35 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  13. 13.A 54-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  14. 14.A jug has 40 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?
  15. 15.A 28-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?
  16. 16.Rice at ₹58 per kg is mixed with rice at ₹135 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  17. 17.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?
  18. 18.A jug has 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.Rice at ₹78 per kg is mixed with rice at ₹166 per kg to make a mix worth ₹126 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.A grocer mixes 6 kg of tea at ₹38 per kg with 2 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹31 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  22. 22.Rice at ₹20 per kg is mixed with rice at ₹26 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  23. 23.A grocer mixes 11 kg of tea at ₹41 per kg with 2 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  25. 25.A jug has 40 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?
  26. 26.Rice at ₹37 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  27. 27.A 14-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  28. 28.Rice at ₹43 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 36 kg of the dearer rice?
  29. 29.Rice at ₹23 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  30. 30.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 : 3?
  31. 31.A jug has 40 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?
  32. 32.Rice at ₹20 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  33. 33.A grocer mixes 3 kg of tea at ₹34 per kg with 12 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹44 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.A 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  36. 36.Rice at ₹32 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.Rice at ₹24 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 35 kg of the dearer rice?
  38. 38.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?
  39. 39.Rice at ₹36 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  40. 40.Rice at ₹21 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?

Answer key

  1. 64
  2. 66
  3. 8
  4. 6
  5. 12
  6. 45
  7. 12
  8. 6
  9. 12
  10. 60
  11. 3
  12. 48
  13. 6
  14. 20
  15. 8
  16. 15
  17. 40
  18. 68
  19. 10
  20. 35
  21. 35
  22. 7
  23. 51
  24. 9
  25. 40
  26. 4
  27. 6
  28. 6
  29. 4
  30. 10
  31. 25
  32. 35
  33. 70
  34. 24
  35. 12
  36. 4
  37. 28
  38. 50
  39. 15
  40. 6

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