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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 885 · 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 15-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?
  2. 2.A grocer mixes 9 kg of tea at ₹113 per kg with 9 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹78 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  4. 4.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?
  5. 5.A grocer mixes 7 kg of tea at ₹37 per kg with 11 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 11 kg of tea at ₹79 per kg with 11 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹40 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  8. 8.Rice at ₹65 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 2 kg of the dearer rice?
  9. 9.A jug has 25 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?
  10. 10.A grocer mixes 10 kg of tea at ₹100 per kg with 10 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹78 per kg is mixed with rice at ₹99 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?
  12. 12.Rice at ₹34 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 2 kg of the dearer rice?
  13. 13.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.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 : 8?
  15. 15.A grocer mixes 6 kg of tea at ₹43 per kg with 2 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 10 kg of tea at ₹70 per kg with 2 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A 32-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  19. 19.A 12-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?
  20. 20.A grocer mixes 4 kg of tea at ₹23 per kg with 3 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.A grocer mixes 10 kg of tea at ₹45 per kg with 6 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 4 kg of tea at ₹28 per kg with 4 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.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?
  26. 26.A 32-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?
  27. 27.Rice at ₹28 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  28. 28.A grocer mixes 8 kg of tea at ₹103 per kg with 2 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 4 kg of tea at ₹73 per kg with 12 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.A 120-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  32. 32.A grocer mixes 4 kg of tea at ₹44 per kg with 4 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 40 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?
  34. 34.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  35. 35.A grocer mixes 9 kg of tea at ₹20 per kg with 3 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹54 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  37. 37.A 44-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?
  38. 38.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?
  39. 39.A grocer mixes 4 kg of tea at ₹71 per kg with 3 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹72 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?

Answer key

  1. 6
  2. 87
  3. 5
  4. 50
  5. 81
  6. 53
  7. 10
  8. 8
  9. 50
  10. 84
  11. 24
  12. 4
  13. 50
  14. 10
  15. 53
  16. 67
  17. 40
  18. 4
  19. 6
  20. 35
  21. 50
  22. 48
  23. 30
  24. 60
  25. 25
  26. 24
  27. 16
  28. 98
  29. 49
  30. 25
  31. 10
  32. 58
  33. 25
  34. 16
  35. 34
  36. 6
  37. 8
  38. 40
  39. 68
  40. 28

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