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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 731 · 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 ₹81 per kg with 12 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 9 kg of tea at ₹50 per kg with 6 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 64-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  4. 4.Rice at ₹76 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  5. 5.A jug has 50 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?
  6. 6.A 48-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?
  7. 7.A 63-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?
  8. 8.Rice at ₹46 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  9. 9.A grocer mixes 4 kg of tea at ₹25 per kg with 4 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹24 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  11. 11.A grocer mixes 8 kg of tea at ₹107 per kg with 8 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹50 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  13. 13.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?
  14. 14.A grocer mixes 2 kg of tea at ₹117 per kg with 2 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.Rice at ₹57 per kg is mixed with rice at ₹75 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?
  17. 17.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  18. 18.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?
  19. 19.A grocer mixes 10 kg of tea at ₹39 per kg with 10 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹64 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  21. 21.A 72-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  22. 22.A 72-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  23. 23.A grocer mixes 12 kg of tea at ₹42 per kg with 2 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 24-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  25. 25.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?
  26. 26.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.A grocer mixes 6 kg of tea at ₹37 per kg with 9 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.Rice at ₹73 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  30. 30.Rice at ₹45 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  31. 31.A grocer mixes 3 kg of tea at ₹118 per kg with 12 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  33. 33.A 80-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  34. 34.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?
  35. 35.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?
  36. 36.A grocer mixes 8 kg of tea at ₹34 per kg with 12 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 40-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  38. 38.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?
  39. 39.Rice at ₹43 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  40. 40.Rice at ₹37 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?

Answer key

  1. 80
  2. 74
  3. 8
  4. 6
  5. 50
  6. 6
  7. 9
  8. 24
  9. 31
  10. 15
  11. 77
  12. 12
  13. 64
  14. 112
  15. 50
  16. 15
  17. 6
  18. 12
  19. 44
  20. 2
  21. 18
  22. 6
  23. 39
  24. 6
  25. 25
  26. 50
  27. 28
  28. 75
  29. 10
  30. 2
  31. 50
  32. 4
  33. 40
  34. 28
  35. 50
  36. 79
  37. 15
  38. 16
  39. 8
  40. 2

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