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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 122 · 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 5 kg of tea at ₹71 per kg with 4 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  3. 3.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?
  4. 4.A grocer mixes 6 kg of tea at ₹56 per kg with 3 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 7 kg of tea at ₹109 per kg with 7 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 20 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?
  7. 7.A 65-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  8. 8.A 80-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?
  9. 9.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?
  10. 10.Rice at ₹53 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  11. 11.A grocer mixes 12 kg of tea at ₹61 per kg with 6 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 7 kg of tea at ₹29 per kg with 2 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 9 kg of tea at ₹95 per kg with 6 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.A 104-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  16. 16.A 35-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  17. 17.A grocer mixes 12 kg of tea at ₹112 per kg with 4 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹67 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  19. 19.A grocer mixes 12 kg of tea at ₹60 per kg with 8 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  21. 21.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?
  22. 22.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?
  23. 23.Rice at ₹53 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.Rice at ₹38 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  25. 25.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 1 : 2?
  26. 26.Rice at ₹21 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  27. 27.A jug has 20 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?
  28. 28.Rice at ₹58 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  29. 29.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?
  30. 30.A 49-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?
  31. 31.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?
  32. 32.A 80-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  33. 33.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?
  34. 34.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 : 8?
  35. 35.Rice at ₹57 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  36. 36.Rice at ₹47 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  37. 37.Rice at ₹20 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.Rice at ₹51 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  39. 39.A grocer mixes 2 kg of tea at ₹46 per kg with 10 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹25 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?

Answer key

  1. 87
  2. 8
  3. 50
  4. 66
  5. 73
  6. 28
  7. 10
  8. 10
  9. 25
  10. 5
  11. 74
  12. 31
  13. 101
  14. 60
  15. 16
  16. 10
  17. 90
  18. 4
  19. 44
  20. 4
  21. 40
  22. 3
  23. 3
  24. 32
  25. 40
  26. 4
  27. 52
  28. 15
  29. 36
  30. 14
  31. 50
  32. 16
  33. 50
  34. 36
  35. 42
  36. 6
  37. 20
  38. 35
  39. 106
  40. 40

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