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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 177 · 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.Rice at ₹25 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.Rice at ₹62 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  3. 3.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?
  4. 4.A 40-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  5. 5.Rice at ₹21 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  6. 6.A grocer mixes 11 kg of tea at ₹31 per kg with 4 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.A grocer mixes 2 kg of tea at ₹53 per kg with 6 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 24-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?
  10. 10.Rice at ₹56 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  11. 11.A grocer mixes 3 kg of tea at ₹108 per kg with 3 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 65-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?
  13. 13.A 45-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  14. 14.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?
  15. 15.A grocer mixes 4 kg of tea at ₹110 per kg with 8 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 40-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  17. 17.A grocer mixes 11 kg of tea at ₹88 per kg with 8 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.A grocer mixes 2 kg of tea at ₹88 per kg with 8 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 30-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  21. 21.A grocer mixes 3 kg of tea at ₹117 per kg with 11 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹46 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  23. 23.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?
  24. 24.Rice at ₹41 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  25. 25.A 21-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?
  26. 26.A 63-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?
  27. 27.A grocer mixes 3 kg of tea at ₹119 per kg with 4 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A grocer mixes 3 kg of tea at ₹33 per kg with 3 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹32 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  32. 32.A grocer mixes 4 kg of tea at ₹53 per kg with 6 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 39-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?
  34. 34.Rice at ₹35 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  35. 35.A grocer mixes 11 kg of tea at ₹57 per kg with 10 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 2 kg of tea at ₹63 per kg with 2 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 4 kg of tea at ₹105 per kg with 10 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹33 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  39. 39.A grocer mixes 6 kg of tea at ₹32 per kg with 3 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 8
  2. 3
  3. 50
  4. 15
  5. 25
  6. 43
  7. 60
  8. 44
  9. 3
  10. 10
  11. 114
  12. 5
  13. 20
  14. 50
  15. 60
  16. 24
  17. 64
  18. 60
  19. 100
  20. 6
  21. 73
  22. 15
  23. 40
  24. 2
  25. 12
  26. 36
  27. 75
  28. 52
  29. 60
  30. 60
  31. 10
  32. 92
  33. 3
  34. 35
  35. 87
  36. 66
  37. 95
  38. 12
  39. 49
  40. 20

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