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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 800 · 40 questions
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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 ₹20 per kg is mixed with rice at ₹24 per kg to make a mix worth ₹21 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  2. 2.Rice at ₹73 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  3. 3.A grocer mixes 8 kg of tea at ₹85 per kg with 4 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 4 kg of tea at ₹94 per kg with 4 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 6 kg of tea at ₹20 per kg with 5 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 50 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?
  7. 7.Rice at ₹30 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  8. 8.Rice at ₹23 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  9. 9.A 63-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  10. 10.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?
  11. 11.Rice at ₹20 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  12. 12.A grocer mixes 2 kg of tea at ₹62 per kg with 4 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 39-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  14. 14.A grocer mixes 9 kg of tea at ₹94 per kg with 9 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 2 kg of tea at ₹25 per kg with 5 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹80 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  17. 17.A 120-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?
  18. 18.A grocer mixes 2 kg of tea at ₹75 per kg with 4 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 15-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?
  20. 20.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?
  21. 21.A grocer mixes 5 kg of tea at ₹47 per kg with 9 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹53 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 1 kg of the dearer rice?
  23. 23.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?
  24. 24.A grocer mixes 6 kg of tea at ₹42 per kg with 5 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹21 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  26. 26.Rice at ₹67 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  27. 27.Rice at ₹57 per kg is mixed with rice at ₹68 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?
  28. 28.Rice at ₹53 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  29. 29.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  30. 30.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 6 : 11?
  31. 31.Rice at ₹26 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  32. 32.A grocer mixes 8 kg of tea at ₹99 per kg with 4 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 20 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?
  34. 34.A 8-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  35. 35.A grocer mixes 4 kg of tea at ₹52 per kg with 5 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹29 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  37. 37.Rice at ₹34 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  38. 38.A grocer mixes 9 kg of tea at ₹84 per kg with 9 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 24-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?
  40. 40.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?

Answer key

  1. 6
  2. 10
  3. 70
  4. 107
  5. 25
  6. 50
  7. 4
  8. 12
  9. 14
  10. 55
  11. 9
  12. 96
  13. 9
  14. 95
  15. 50
  16. 2
  17. 40
  18. 57
  19. 9
  20. 50
  21. 38
  22. 6
  23. 40
  24. 32
  25. 4
  26. 6
  27. 5
  28. 3
  29. 8
  30. 40
  31. 6
  32. 100
  33. 52
  34. 4
  35. 42
  36. 10
  37. 1
  38. 67
  39. 24
  40. 50

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