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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 420 · 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 12 kg of tea at ₹67 per kg with 6 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 6 kg of tea at ₹73 per kg with 6 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹74 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  4. 4.Rice at ₹31 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  5. 5.A jug has 20 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?
  6. 6.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 3 : 4?
  7. 7.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?
  8. 8.A grocer mixes 4 kg of tea at ₹98 per kg with 3 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.A grocer mixes 2 kg of tea at ₹91 per kg with 2 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 4 kg of tea at ₹58 per kg with 4 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.A grocer mixes 4 kg of tea at ₹106 per kg with 10 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹30 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  15. 15.A grocer mixes 10 kg of tea at ₹100 per kg with 10 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  17. 17.A 50-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?
  18. 18.A grocer mixes 2 kg of tea at ₹101 per kg with 6 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.A grocer mixes 2 kg of tea at ₹52 per kg with 10 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 4 kg of tea at ₹48 per kg with 12 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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 : 4?
  23. 23.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A grocer mixes 7 kg of tea at ₹48 per kg with 4 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 9 kg of tea at ₹103 per kg with 3 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 10 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?
  27. 27.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?
  28. 28.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?
  29. 29.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 : 7?
  30. 30.A 25-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  31. 31.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?
  32. 32.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?
  33. 33.Rice at ₹71 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 20 kg of the dearer rice?
  34. 34.A jug has 10 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.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?
  36. 36.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.Rice at ₹54 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  38. 38.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?
  39. 39.Rice at ₹47 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  40. 40.Rice at ₹67 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 61
  2. 93
  3. 20
  4. 14
  5. 40
  6. 12
  7. 9
  8. 89
  9. 50
  10. 70
  11. 82
  12. 28
  13. 71
  14. 6
  15. 73
  16. 24
  17. 40
  18. 77
  19. 75
  20. 62
  21. 84
  22. 30
  23. 64
  24. 64
  25. 86
  26. 40
  27. 20
  28. 50
  29. 4
  30. 10
  31. 60
  32. 28
  33. 15
  34. 70
  35. 60
  36. 50
  37. 12
  38. 25
  39. 24
  40. 2

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