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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 552 · 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 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?
  2. 2.A grocer mixes 2 kg of tea at ₹73 per kg with 4 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.A 16-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  5. 5.A grocer mixes 10 kg of tea at ₹58 per kg with 5 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 4 kg of tea at ₹22 per kg with 12 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.A jug has 40 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?
  9. 9.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 2 : 9?
  10. 10.A 28-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  11. 11.A grocer mixes 5 kg of tea at ₹83 per kg with 5 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 3 kg of tea at ₹119 per kg with 4 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 12-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?
  14. 14.A grocer mixes 8 kg of tea at ₹31 per kg with 12 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  16. 16.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  17. 17.Rice at ₹23 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  18. 18.Rice at ₹70 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  19. 19.A grocer mixes 11 kg of tea at ₹46 per kg with 11 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 11 kg of tea at ₹54 per kg with 3 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 6 kg of tea at ₹45 per kg with 6 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 3 kg of tea at ₹99 per kg with 4 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 56-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  24. 24.A grocer mixes 7 kg of tea at ₹35 per kg with 7 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 21-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  26. 26.A grocer mixes 8 kg of tea at ₹91 per kg with 8 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.A jug has 40 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?
  29. 29.A 42-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  30. 30.A 77-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  31. 31.Rice at ₹50 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 14 kg of the dearer rice?
  32. 32.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  33. 33.A grocer mixes 4 kg of tea at ₹40 per kg with 4 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.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?
  36. 36.A grocer mixes 8 kg of tea at ₹64 per kg with 4 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹78 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  38. 38.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?
  39. 39.A 35-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?
  40. 40.A grocer mixes 6 kg of tea at ₹20 per kg with 2 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 50
  2. 83
  3. 40
  4. 6
  5. 52
  6. 55
  7. 40
  8. 52
  9. 6
  10. 16
  11. 92
  12. 111
  13. 2
  14. 55
  15. 2
  16. 6
  17. 15
  18. 8
  19. 55
  20. 66
  21. 36
  22. 75
  23. 32
  24. 70
  25. 7
  26. 56
  27. 50
  28. 40
  29. 21
  30. 7
  31. 21
  32. 6
  33. 53
  34. 76
  35. 64
  36. 75
  37. 15
  38. 28
  39. 7
  40. 27

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