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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 191 · 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 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A grocer mixes 4 kg of tea at ₹60 per kg with 8 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.Rice at ₹71 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 8 kg of the dearer rice?
  5. 5.A grocer mixes 7 kg of tea at ₹24 per kg with 7 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹27 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  7. 7.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.A grocer mixes 10 kg of tea at ₹82 per kg with 10 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹25 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  10. 10.A 52-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  11. 11.Rice at ₹74 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  12. 12.A 35-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  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 2 : 3?
  14. 14.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?
  15. 15.A grocer mixes 5 kg of tea at ₹52 per kg with 2 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 32-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  17. 17.A 63-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  18. 18.A 30-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  19. 19.A grocer mixes 3 kg of tea at ₹119 per kg with 3 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  21. 21.Rice at ₹38 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  22. 22.Rice at ₹51 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  23. 23.A grocer mixes 8 kg of tea at ₹110 per kg with 4 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹41 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  25. 25.A jug has 40 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?
  26. 26.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.A jug has 20 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?
  28. 28.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  29. 29.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?
  30. 30.A grocer mixes 8 kg of tea at ₹35 per kg with 8 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 5 kg of tea at ₹54 per kg with 10 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A jug has 10 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?
  34. 34.A grocer mixes 11 kg of tea at ₹25 per kg with 11 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 6 kg of tea at ₹33 per kg with 6 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.Rice at ₹66 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  39. 39.A grocer mixes 7 kg of tea at ₹114 per kg with 2 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 6 kg of tea at ₹119 per kg with 6 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 52
  2. 34
  3. 25
  4. 12
  5. 34
  6. 35
  7. 60
  8. 63
  9. 6
  10. 12
  11. 6
  12. 14
  13. 6
  14. 28
  15. 48
  16. 16
  17. 36
  18. 10
  19. 109
  20. 4
  21. 3
  22. 3
  23. 97
  24. 15
  25. 40
  26. 36
  27. 60
  28. 6
  29. 50
  30. 75
  31. 56
  32. 50
  33. 68
  34. 64
  35. 43
  36. 25
  37. 60
  38. 40
  39. 108
  40. 110

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