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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 892 · 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 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  3. 3.Rice at ₹30 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  4. 4.A 60-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  5. 5.A grocer mixes 10 kg of tea at ₹46 per kg with 10 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A 72-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?
  8. 8.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?
  9. 9.Rice at ₹31 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  10. 10.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?
  11. 11.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?
  12. 12.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?
  13. 13.A 50-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  14. 14.A grocer mixes 12 kg of tea at ₹92 per kg with 5 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 20-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?
  16. 16.Rice at ₹45 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  17. 17.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  18. 18.Rice at ₹46 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  19. 19.A grocer mixes 2 kg of tea at ₹55 per kg with 2 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 4 kg of tea at ₹71 per kg with 11 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹46 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  22. 22.A grocer mixes 10 kg of tea at ₹118 per kg with 6 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 10 kg of tea at ₹43 per kg with 5 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 8 kg of tea at ₹37 per kg with 4 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 2 kg of tea at ₹80 per kg with 3 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 6 kg of tea at ₹115 per kg with 6 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹78 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  28. 28.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?
  29. 29.A 32-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?
  30. 30.A 28-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  31. 31.Rice at ₹41 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  32. 32.A grocer mixes 4 kg of tea at ₹45 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹79 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  34. 34.A 33-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?
  35. 35.A grocer mixes 3 kg of tea at ₹103 per kg with 6 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 3 kg of tea at ₹28 per kg with 4 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹26 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.A grocer mixes 3 kg of tea at ₹95 per kg with 6 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  40. 40.A 72-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?

Answer key

  1. 75
  2. 40
  3. 14
  4. 20
  5. 83
  6. 80
  7. 36
  8. 64
  9. 3
  10. 50
  11. 60
  12. 50
  13. 30
  14. 87
  15. 12
  16. 14
  17. 8
  18. 35
  19. 61
  20. 104
  21. 6
  22. 88
  23. 36
  24. 63
  25. 101
  26. 113
  27. 15
  28. 50
  29. 8
  30. 12
  31. 36
  32. 35
  33. 6
  34. 12
  35. 85
  36. 32
  37. 24
  38. 45
  39. 10
  40. 18

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