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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 772 · 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 2 kg of tea at ₹62 per kg with 2 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 80-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  3. 3.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  5. 5.A grocer mixes 8 kg of tea at ₹75 per kg with 2 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹60 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  7. 7.A grocer mixes 3 kg of tea at ₹75 per kg with 6 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹22 per kg is mixed with rice at ₹27 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  9. 9.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?
  10. 10.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?
  11. 11.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 1 : 3?
  12. 12.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?
  13. 13.Rice at ₹75 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  14. 14.A 12-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  15. 15.A grocer mixes 3 kg of tea at ₹20 per kg with 12 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 72-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?
  17. 17.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?
  18. 18.Rice at ₹64 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  19. 19.A jug has 40 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?
  20. 20.A 52-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  21. 21.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?
  22. 22.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?
  23. 23.A grocer mixes 11 kg of tea at ₹79 per kg with 11 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 35-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?
  25. 25.Rice at ₹69 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  26. 26.A 35-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?
  27. 27.A grocer mixes 3 kg of tea at ₹107 per kg with 12 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 6 kg of tea at ₹114 per kg with 6 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 27-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  30. 30.Rice at ₹33 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  31. 31.A 35-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  32. 32.A 28-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  33. 33.Rice at ₹26 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  34. 34.Rice at ₹58 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  35. 35.A jug has 10 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?
  36. 36.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?
  37. 37.A grocer mixes 2 kg of tea at ₹25 per kg with 3 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 40-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  39. 39.A grocer mixes 8 kg of tea at ₹34 per kg with 3 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 9 kg of tea at ₹50 per kg with 6 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 66
  2. 30
  3. 36
  4. 3
  5. 78
  6. 4
  7. 57
  8. 10
  9. 50
  10. 64
  11. 20
  12. 36
  13. 12
  14. 16
  15. 52
  16. 16
  17. 28
  18. 9
  19. 60
  20. 4
  21. 50
  22. 25
  23. 56
  24. 15
  25. 10
  26. 20
  27. 111
  28. 91
  29. 12
  30. 5
  31. 14
  32. 21
  33. 20
  34. 4
  35. 60
  36. 50
  37. 31
  38. 16
  39. 40
  40. 38

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