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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 582 · 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 10 kg of tea at ₹51 per kg with 2 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 6 kg of tea at ₹90 per kg with 8 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹58 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  4. 4.Rice at ₹30 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  5. 5.A 78-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?
  6. 6.A 35-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?
  7. 7.A grocer mixes 3 kg of tea at ₹117 per kg with 3 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 32-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?
  9. 9.Rice at ₹72 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  10. 10.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?
  11. 11.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?
  12. 12.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 : 3?
  13. 13.Rice at ₹73 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  14. 14.Rice at ₹61 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  15. 15.A 27-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?
  16. 16.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?
  17. 17.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?
  18. 18.Rice at ₹20 per kg is mixed with rice at ₹23 per kg to make a mix worth ₹22 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  19. 19.Rice at ₹59 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  20. 20.A grocer mixes 12 kg of tea at ₹89 per kg with 8 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹51 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  22. 22.A grocer mixes 2 kg of tea at ₹71 per kg with 2 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹80 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  24. 24.Rice at ₹26 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  25. 25.A 100-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  26. 26.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.A jug has 20 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.A grocer mixes 9 kg of tea at ₹71 per kg with 3 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A jug has 10 litres of a drink that is 20% mango juice. 15 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 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.Rice at ₹77 per kg is mixed with rice at ₹149 per kg to make a mix worth ₹117 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  32. 32.A 18-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?
  33. 33.A grocer mixes 12 kg of tea at ₹21 per kg with 6 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  37. 37.Rice at ₹72 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.A jug has 10 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.A 99-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  40. 40.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?

Answer key

  1. 62
  2. 70
  3. 15
  4. 3
  5. 6
  6. 7
  7. 116
  8. 8
  9. 5
  10. 70
  11. 75
  12. 20
  13. 30
  14. 7
  15. 27
  16. 40
  17. 50
  18. 8
  19. 12
  20. 99
  21. 4
  22. 48
  23. 4
  24. 9
  25. 40
  26. 50
  27. 55
  28. 60
  29. 68
  30. 60
  31. 32
  32. 3
  33. 28
  34. 36
  35. 25
  36. 9
  37. 3
  38. 50
  39. 18
  40. 50

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