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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 769 · 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 grocer mixes 9 kg of tea at ₹90 per kg with 5 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 7 kg of tea at ₹64 per kg with 2 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹33 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  4. 4.A grocer mixes 11 kg of tea at ₹26 per kg with 11 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.A jug has 20 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?
  7. 7.A 36-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  8. 8.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?
  9. 9.A grocer mixes 3 kg of tea at ₹30 per kg with 12 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹23 per kg is mixed with rice at ₹26 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  11. 11.Rice at ₹24 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  12. 12.A grocer mixes 4 kg of tea at ₹64 per kg with 5 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 2 kg of tea at ₹85 per kg with 2 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹77 per kg is mixed with rice at ₹154 per kg to make a mix worth ₹112 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  15. 15.A 108-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  16. 16.Rice at ₹22 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 9 kg of the dearer rice?
  17. 17.Rice at ₹61 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  18. 18.Rice at ₹65 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  19. 19.A grocer mixes 5 kg of tea at ₹102 per kg with 6 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 40-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  21. 21.A jug has 10 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?
  22. 22.A 90-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  23. 23.Rice at ₹63 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  24. 24.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?
  25. 25.A grocer mixes 8 kg of tea at ₹106 per kg with 8 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.A grocer mixes 3 kg of tea at ₹111 per kg with 3 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 4 kg of tea at ₹70 per kg with 7 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 6 kg of tea at ₹108 per kg with 12 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 5 kg of tea at ₹77 per kg with 10 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹24 per kg is mixed with rice at ₹27 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  32. 32.Rice at ₹28 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  33. 33.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?
  34. 34.A grocer mixes 11 kg of tea at ₹30 per kg with 11 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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?
  36. 36.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 1 : 5?
  37. 37.A grocer mixes 12 kg of tea at ₹58 per kg with 7 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹47 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  39. 39.A grocer mixes 4 kg of tea at ₹82 per kg with 8 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹49 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?

Answer key

  1. 70
  2. 66
  3. 2
  4. 68
  5. 25
  6. 40
  7. 4
  8. 50
  9. 26
  10. 2
  11. 12
  12. 89
  13. 71
  14. 30
  15. 36
  16. 15
  17. 15
  18. 2
  19. 84
  20. 40
  21. 55
  22. 40
  23. 1
  24. 25
  25. 66
  26. 76
  27. 74
  28. 63
  29. 94
  30. 93
  31. 7
  32. 12
  33. 20
  34. 54
  35. 50
  36. 15
  37. 44
  38. 24
  39. 104
  40. 1

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