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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 304 · 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 8 kg of tea at ₹50 per kg with 4 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  3. 3.A grocer mixes 9 kg of tea at ₹82 per kg with 9 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.A grocer mixes 7 kg of tea at ₹89 per kg with 2 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.Rice at ₹29 per kg is mixed with rice at ₹77 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 ₹62 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  9. 9.A 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  10. 10.A grocer mixes 4 kg of tea at ₹40 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.Rice at ₹39 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  13. 13.A 45-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?
  14. 14.A 16-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  15. 15.A 56-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  16. 16.Rice at ₹70 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  17. 17.A grocer mixes 9 kg of tea at ₹60 per kg with 3 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 90-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?
  19. 19.A grocer mixes 9 kg of tea at ₹63 per kg with 2 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.A jug has 20 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?
  22. 22.A grocer mixes 4 kg of tea at ₹119 per kg with 2 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 7 kg of tea at ₹65 per kg with 7 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 2 kg of tea at ₹47 per kg with 2 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹56 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  26. 26.A 49-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  27. 27.Rice at ₹34 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  28. 28.A 78-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?
  29. 29.Rice at ₹39 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  30. 30.Rice at ₹23 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  31. 31.A grocer mixes 10 kg of tea at ₹49 per kg with 11 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 4 kg of tea at ₹21 per kg with 8 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.A 21-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?
  35. 35.A grocer mixes 5 kg of tea at ₹79 per kg with 10 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 8 kg of tea at ₹113 per kg with 8 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 9 kg of tea at ₹48 per kg with 9 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 2 kg of tea at ₹29 per kg with 10 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  40. 40.A 54-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?

Answer key

  1. 61
  2. 6
  3. 60
  4. 52
  5. 91
  6. 50
  7. 5
  8. 5
  9. 18
  10. 59
  11. 64
  12. 32
  13. 5
  14. 6
  15. 7
  16. 40
  17. 53
  18. 20
  19. 65
  20. 50
  21. 28
  22. 116
  23. 69
  24. 34
  25. 1
  26. 7
  27. 2
  28. 18
  29. 6
  30. 10
  31. 71
  32. 35
  33. 50
  34. 7
  35. 43
  36. 68
  37. 41
  38. 39
  39. 12
  40. 18

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