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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 944 · 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 ₹76 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  2. 2.A 48-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  3. 3.A grocer mixes 5 kg of tea at ₹65 per kg with 5 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A 8-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  6. 6.A 54-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  7. 7.Rice at ₹30 per kg is mixed with rice at ₹86 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?
  8. 8.A grocer mixes 3 kg of tea at ₹30 per kg with 2 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A jug has 10 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?
  10. 10.Rice at ₹78 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  11. 11.A grocer mixes 3 kg of tea at ₹28 per kg with 12 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹55 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  13. 13.A grocer mixes 12 kg of tea at ₹102 per kg with 2 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹46 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  15. 15.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?
  16. 16.A grocer mixes 12 kg of tea at ₹82 per kg with 12 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹53 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  18. 18.A grocer mixes 3 kg of tea at ₹90 per kg with 6 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹29 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  21. 21.A grocer mixes 3 kg of tea at ₹94 per kg with 12 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.A grocer mixes 11 kg of tea at ₹24 per kg with 11 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.Rice at ₹65 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  26. 26.A 20-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  27. 27.A grocer mixes 2 kg of tea at ₹90 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 4 kg of tea at ₹98 per kg with 4 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 25-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  30. 30.A grocer mixes 3 kg of tea at ₹61 per kg with 6 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹52 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  32. 32.Rice at ₹59 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  33. 33.A 40-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  34. 34.A grocer mixes 9 kg of tea at ₹69 per kg with 8 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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?
  36. 36.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?
  37. 37.A jug has 40 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?
  38. 38.Rice at ₹65 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  39. 39.A 130-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  40. 40.A 45-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?

Answer key

  1. 3
  2. 4
  3. 63
  4. 60
  5. 2
  6. 24
  7. 48
  8. 60
  9. 40
  10. 6
  11. 44
  12. 21
  13. 97
  14. 15
  15. 70
  16. 89
  17. 42
  18. 86
  19. 9
  20. 32
  21. 38
  22. 80
  23. 62
  24. 60
  25. 5
  26. 5
  27. 82
  28. 93
  29. 10
  30. 67
  31. 14
  32. 8
  33. 24
  34. 93
  35. 60
  36. 50
  37. 40
  38. 25
  39. 10
  40. 5

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