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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 306 · 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 6 kg of tea at ₹72 per kg with 12 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹56 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  3. 3.Rice at ₹38 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  4. 4.A 22-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  5. 5.A grocer mixes 10 kg of tea at ₹118 per kg with 12 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 10 kg of tea at ₹78 per kg with 10 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.Rice at ₹35 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  9. 9.Rice at ₹62 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  10. 10.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?
  11. 11.Rice at ₹75 per kg is mixed with rice at ₹130 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  12. 12.Rice at ₹48 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  13. 13.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  14. 14.Rice at ₹38 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  15. 15.A 45-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  16. 16.Rice at ₹54 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  17. 17.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?
  18. 18.A grocer mixes 5 kg of tea at ₹54 per kg with 5 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 12 kg of tea at ₹34 per kg with 2 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹69 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  21. 21.Rice at ₹49 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  22. 22.A 35-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  23. 23.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A jug has 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.A grocer mixes 2 kg of tea at ₹55 per kg with 2 kg of tea at ₹83 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 6 kg of tea at ₹75 per kg with 3 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 33-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  29. 29.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?
  30. 30.A grocer mixes 8 kg of tea at ₹60 per kg with 10 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 6 kg of tea at ₹107 per kg with 2 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹53 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  33. 33.A grocer mixes 5 kg of tea at ₹74 per kg with 5 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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 7 kg of the dearer rice?
  35. 35.A grocer mixes 10 kg of tea at ₹118 per kg with 10 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹42 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.A grocer mixes 5 kg of tea at ₹101 per kg with 8 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹38 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  39. 39.Rice at ₹70 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  40. 40.A 56-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?

Answer key

  1. 98
  2. 35
  3. 6
  4. 2
  5. 76
  6. 63
  7. 80
  8. 8
  9. 10
  10. 25
  11. 36
  12. 18
  13. 12
  14. 4
  15. 15
  16. 48
  17. 40
  18. 69
  19. 38
  20. 5
  21. 6
  22. 14
  23. 50
  24. 50
  25. 69
  26. 76
  27. 59
  28. 9
  29. 25
  30. 70
  31. 95
  32. 30
  33. 64
  34. 14
  35. 77
  36. 32
  37. 69
  38. 9
  39. 2
  40. 8

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