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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 33 · 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 ₹58 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  2. 2.A 24-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  3. 3.Rice at ₹46 per kg is mixed with rice at ₹53 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?
  4. 4.A jug has 20 litres of a drink that is 20% mango juice. 20 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 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.A grocer mixes 4 kg of tea at ₹37 per kg with 10 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 8 kg of tea at ₹35 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 2 kg of tea at ₹75 per kg with 2 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 6 kg of tea at ₹41 per kg with 3 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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 : 5?
  11. 11.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?
  12. 12.A grocer mixes 3 kg of tea at ₹78 per kg with 11 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 130-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  14. 14.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  15. 15.Rice at ₹77 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  16. 16.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 2 kg of the dearer rice?
  17. 17.A 49-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  18. 18.A 48-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?
  19. 19.Rice at ₹34 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  20. 20.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A grocer mixes 12 kg of tea at ₹118 per kg with 4 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹31 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.A 20-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  24. 24.A 36-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  25. 25.A grocer mixes 7 kg of tea at ₹66 per kg with 3 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 10 kg of tea at ₹36 per kg with 4 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 64-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  28. 28.Rice at ₹64 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  29. 29.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A jug has 10 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?
  31. 31.Rice at ₹51 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.Rice at ₹67 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  33. 33.Rice at ₹41 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  34. 34.A 20-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  35. 35.A grocer mixes 11 kg of tea at ₹118 per kg with 7 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 15-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?
  37. 37.Rice at ₹53 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  38. 38.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?
  39. 39.Rice at ₹34 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  40. 40.A jug has 50 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?

Answer key

  1. 18
  2. 3
  3. 9
  4. 60
  5. 75
  6. 47
  7. 36
  8. 61
  9. 53
  10. 7
  11. 40
  12. 45
  13. 10
  14. 9
  15. 48
  16. 1
  17. 7
  18. 8
  19. 20
  20. 76
  21. 104
  22. 2
  23. 8
  24. 18
  25. 60
  26. 54
  27. 16
  28. 5
  29. 50
  30. 55
  31. 3
  32. 16
  33. 1
  34. 8
  35. 83
  36. 12
  37. 3
  38. 36
  39. 5
  40. 25

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