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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 207 · 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 jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹76 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  3. 3.Rice at ₹59 per kg is mixed with rice at ₹136 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  4. 4.A grocer mixes 4 kg of tea at ₹93 per kg with 2 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹33 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  6. 6.A 14-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  7. 7.A grocer mixes 2 kg of tea at ₹45 per kg with 5 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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 3 : 5?
  9. 9.A grocer mixes 4 kg of tea at ₹27 per kg with 12 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹27 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  11. 11.Rice at ₹42 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  12. 12.A jug has 20 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?
  13. 13.A grocer mixes 2 kg of tea at ₹91 per kg with 2 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 10 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A grocer mixes 3 kg of tea at ₹34 per kg with 9 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.A grocer mixes 4 kg of tea at ₹113 per kg with 9 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.Rice at ₹36 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  20. 20.A 20-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?
  21. 21.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?
  22. 22.A 10-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?
  23. 23.A grocer mixes 7 kg of tea at ₹103 per kg with 2 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 5 kg of tea at ₹50 per kg with 7 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹79 per kg is mixed with rice at ₹143 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  26. 26.A 54-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  27. 27.Rice at ₹35 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  28. 28.A grocer mixes 3 kg of tea at ₹36 per kg with 3 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.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 : 5?
  31. 31.Rice at ₹30 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  32. 32.A grocer mixes 11 kg of tea at ₹71 per kg with 12 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 2 kg of tea at ₹33 per kg with 9 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.A grocer mixes 8 kg of tea at ₹113 per kg with 12 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.Rice at ₹25 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  38. 38.A grocer mixes 3 kg of tea at ₹75 per kg with 6 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  40. 40.A grocer mixes 9 kg of tea at ₹59 per kg with 3 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 25
  2. 3
  3. 35
  4. 101
  5. 5
  6. 4
  7. 60
  8. 30
  9. 51
  10. 21
  11. 25
  12. 60
  13. 67
  14. 80
  15. 52
  16. 64
  17. 50
  18. 40
  19. 21
  20. 4
  21. 25
  22. 4
  23. 97
  24. 71
  25. 35
  26. 24
  27. 25
  28. 58
  29. 60
  30. 18
  31. 7
  32. 95
  33. 24
  34. 60
  35. 74
  36. 76
  37. 28
  38. 49
  39. 8
  40. 64

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