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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 117 · 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 16-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  2. 2.A grocer mixes 10 kg of tea at ₹57 per kg with 4 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.A 24-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?
  5. 5.A grocer mixes 2 kg of tea at ₹57 per kg with 2 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 10 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?
  7. 7.Rice at ₹59 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  8. 8.Rice at ₹73 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  9. 9.A grocer mixes 3 kg of tea at ₹25 per kg with 12 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.Rice at ₹49 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  12. 12.A jug has 50 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?
  13. 13.Rice at ₹30 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  14. 14.A grocer mixes 4 kg of tea at ₹58 per kg with 2 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 3 kg of tea at ₹81 per kg with 9 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.A grocer mixes 6 kg of tea at ₹101 per kg with 9 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 10-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  19. 19.Rice at ₹79 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  20. 20.A 88-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  21. 21.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?
  22. 22.A jug has 40 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?
  23. 23.A grocer mixes 5 kg of tea at ₹82 per kg with 2 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹25 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  25. 25.Rice at ₹70 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  26. 26.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?
  27. 27.Rice at ₹28 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  28. 28.A grocer mixes 7 kg of tea at ₹52 per kg with 7 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 24-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  30. 30.A 14-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  31. 31.A grocer mixes 3 kg of tea at ₹93 per kg with 3 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹68 per kg is mixed with rice at ₹145 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  33. 33.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?
  34. 34.A grocer mixes 4 kg of tea at ₹24 per kg with 2 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹20 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  36. 36.A grocer mixes 7 kg of tea at ₹77 per kg with 7 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹32 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  38. 38.A grocer mixes 2 kg of tea at ₹120 per kg with 2 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 6 kg of tea at ₹83 per kg with 2 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹38 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?

Answer key

  1. 2
  2. 47
  3. 75
  4. 6
  5. 74
  6. 80
  7. 25
  8. 10
  9. 49
  10. 25
  11. 2
  12. 25
  13. 10
  14. 78
  15. 99
  16. 2
  17. 59
  18. 6
  19. 12
  20. 8
  21. 50
  22. 20
  23. 84
  24. 1
  25. 14
  26. 70
  27. 48
  28. 64
  29. 4
  30. 4
  31. 59
  32. 18
  33. 4
  34. 39
  35. 36
  36. 82
  37. 21
  38. 93
  39. 71
  40. 20

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