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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 230 · 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. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹40 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  3. 3.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 : 3?
  4. 4.A grocer mixes 8 kg of tea at ₹48 per kg with 4 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A jug has 20 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?
  6. 6.Rice at ₹79 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  7. 7.Rice at ₹76 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  8. 8.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.A grocer mixes 10 kg of tea at ₹81 per kg with 6 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 2 kg of tea at ₹93 per kg with 2 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹57 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  12. 12.A grocer mixes 8 kg of tea at ₹54 per kg with 3 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.A grocer mixes 4 kg of tea at ₹113 per kg with 11 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 10 kg of tea at ₹29 per kg with 5 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.Rice at ₹57 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  18. 18.A grocer mixes 4 kg of tea at ₹100 per kg with 2 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹67 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  20. 20.A grocer mixes 6 kg of tea at ₹80 per kg with 12 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.A grocer mixes 8 kg of tea at ₹77 per kg with 9 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 10 kg of tea at ₹108 per kg with 10 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A jug has 10 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?
  25. 25.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?
  26. 26.Rice at ₹51 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  27. 27.A grocer mixes 9 kg of tea at ₹109 per kg with 5 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 18-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?
  29. 29.Rice at ₹43 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  30. 30.A jug has 25 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?
  31. 31.A grocer mixes 10 kg of tea at ₹61 per kg with 10 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹24 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  33. 33.Rice at ₹24 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  34. 34.Rice at ₹57 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.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?
  36. 36.A grocer mixes 5 kg of tea at ₹28 per kg with 6 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹65 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.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 1 : 2?
  39. 39.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?
  40. 40.Rice at ₹79 per kg is mixed with rice at ₹135 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?

Answer key

  1. 40
  2. 12
  3. 4
  4. 62
  5. 52
  6. 6
  7. 5
  8. 60
  9. 90
  10. 80
  11. 24
  12. 66
  13. 25
  14. 58
  15. 30
  16. 55
  17. 32
  18. 93
  19. 6
  20. 50
  21. 60
  22. 86
  23. 106
  24. 70
  25. 12
  26. 32
  27. 84
  28. 8
  29. 40
  30. 50
  31. 51
  32. 21
  33. 5
  34. 18
  35. 50
  36. 34
  37. 12
  38. 2
  39. 25
  40. 18

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