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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 64 · 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 jug has 40 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?
  2. 2.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?
  3. 3.A grocer mixes 2 kg of tea at ₹79 per kg with 4 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 35-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?
  5. 5.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  6. 6.A 81-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 ₹79 per kg is mixed with rice at ₹119 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?
  8. 8.Rice at ₹32 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  9. 9.A grocer mixes 9 kg of tea at ₹63 per kg with 9 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 6 kg of tea at ₹104 per kg with 12 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 4 kg of tea at ₹48 per kg with 3 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.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?
  14. 14.Rice at ₹31 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  15. 15.Rice at ₹37 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  16. 16.A grocer mixes 9 kg of tea at ₹101 per kg with 6 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 2 kg of tea at ₹55 per kg with 2 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.Rice at ₹25 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  20. 20.Rice at ₹69 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  21. 21.A grocer mixes 4 kg of tea at ₹26 per kg with 5 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 11 kg of tea at ₹46 per kg with 2 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  24. 24.Rice at ₹55 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  25. 25.Rice at ₹39 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  26. 26.A grocer mixes 6 kg of tea at ₹31 per kg with 2 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹74 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  28. 28.A 12-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  29. 29.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  30. 30.A grocer mixes 4 kg of tea at ₹22 per kg with 6 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹58 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  32. 32.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?
  33. 33.Rice at ₹59 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  34. 34.Rice at ₹25 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.A jug has 40 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?
  36. 36.A grocer mixes 12 kg of tea at ₹40 per kg with 3 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹77 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.A 32-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?
  39. 39.A grocer mixes 6 kg of tea at ₹110 per kg with 3 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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 : 7?

Answer key

  1. 25
  2. 70
  3. 99
  4. 5
  5. 75
  6. 36
  7. 16
  8. 6
  9. 57
  10. 114
  11. 45
  12. 8
  13. 25
  14. 12
  15. 1
  16. 85
  17. 41
  18. 75
  19. 12
  20. 10
  21. 46
  22. 52
  23. 20
  24. 15
  25. 6
  26. 48
  27. 42
  28. 2
  29. 6
  30. 34
  31. 7
  32. 28
  33. 5
  34. 12
  35. 60
  36. 43
  37. 12
  38. 4
  39. 83
  40. 8

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