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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 81 · 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 25-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  2. 2.A 64-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  3. 3.A 54-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?
  4. 4.A grocer mixes 6 kg of tea at ₹59 per kg with 10 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 3 kg of tea at ₹82 per kg with 3 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹52 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  7. 7.Rice at ₹21 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  8. 8.Rice at ₹60 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.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?
  10. 10.Rice at ₹57 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  11. 11.Rice at ₹74 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  12. 12.A grocer mixes 4 kg of tea at ₹68 per kg with 8 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 99-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  14. 14.A 90-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  15. 15.Rice at ₹66 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  16. 16.Rice at ₹66 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  17. 17.A 42-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?
  18. 18.A jug has 20 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?
  19. 19.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?
  20. 20.A grocer mixes 8 kg of tea at ₹29 per kg with 8 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹80 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  22. 22.A 42-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  23. 23.A grocer mixes 3 kg of tea at ₹64 per kg with 3 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹22 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  25. 25.A 36-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?
  26. 26.Rice at ₹55 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  27. 27.A grocer mixes 4 kg of tea at ₹90 per kg with 4 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 12 kg of tea at ₹69 per kg with 6 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 6 kg of tea at ₹25 per kg with 2 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹51 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  31. 31.Rice at ₹66 per kg is mixed with rice at ₹143 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  32. 32.A grocer mixes 12 kg of tea at ₹58 per kg with 12 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 2 kg of tea at ₹106 per kg with 5 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 3 kg of tea at ₹88 per kg with 3 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A jug has 20 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?
  36. 36.A 56-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  37. 37.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A grocer mixes 4 kg of tea at ₹119 per kg with 2 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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?
  40. 40.Rice at ₹53 per kg is mixed with rice at ₹59 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?

Answer key

  1. 20
  2. 32
  3. 9
  4. 94
  5. 69
  6. 6
  7. 6
  8. 8
  9. 50
  10. 30
  11. 3
  12. 84
  13. 27
  14. 18
  15. 2
  16. 6
  17. 28
  18. 28
  19. 55
  20. 33
  21. 3
  22. 24
  23. 46
  24. 3
  25. 6
  26. 25
  27. 103
  28. 56
  29. 34
  30. 2
  31. 12
  32. 42
  33. 61
  34. 102
  35. 70
  36. 14
  37. 75
  38. 115
  39. 7
  40. 2

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