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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 171 · 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 ₹70 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  2. 2.Rice at ₹26 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.A grocer mixes 4 kg of tea at ₹53 per kg with 4 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹65 per kg is mixed with rice at ₹153 per kg to make a mix worth ₹105 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  5. 5.A 14-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  6. 6.Rice at ₹62 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  7. 7.Rice at ₹29 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  8. 8.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?
  9. 9.A grocer mixes 4 kg of tea at ₹75 per kg with 8 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 10 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?
  11. 11.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.A 36-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  13. 13.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.A jug has 20 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?
  15. 15.Rice at ₹59 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  16. 16.Rice at ₹55 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  17. 17.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?
  18. 18.Rice at ₹33 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  19. 19.Rice at ₹64 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  20. 20.A 55-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?
  21. 21.A grocer mixes 12 kg of tea at ₹50 per kg with 10 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹55 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A 24-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  25. 25.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?
  26. 26.A 20-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  27. 27.A grocer mixes 8 kg of tea at ₹81 per kg with 6 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  29. 29.A grocer mixes 6 kg of tea at ₹75 per kg with 12 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.A grocer mixes 5 kg of tea at ₹55 per kg with 10 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹32 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  33. 33.A grocer mixes 9 kg of tea at ₹117 per kg with 3 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  35. 35.A grocer mixes 6 kg of tea at ₹116 per kg with 3 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹39 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  37. 37.Rice at ₹57 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  38. 38.A 33-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  39. 39.Rice at ₹55 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  40. 40.A grocer mixes 4 kg of tea at ₹62 per kg with 4 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 6
  2. 3
  3. 38
  4. 6
  5. 8
  6. 6
  7. 30
  8. 52
  9. 97
  10. 70
  11. 50
  12. 6
  13. 76
  14. 60
  15. 15
  16. 1
  17. 25
  18. 5
  19. 6
  20. 10
  21. 75
  22. 8
  23. 64
  24. 32
  25. 50
  26. 16
  27. 87
  28. 2
  29. 51
  30. 50
  31. 85
  32. 16
  33. 113
  34. 3
  35. 94
  36. 28
  37. 6
  38. 6
  39. 4
  40. 78

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