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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 648 · 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 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A 33-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  3. 3.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  4. 4.Rice at ₹28 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  5. 5.A grocer mixes 7 kg of tea at ₹115 per kg with 8 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹22 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  7. 7.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?
  8. 8.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?
  9. 9.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?
  10. 10.A grocer mixes 12 kg of tea at ₹87 per kg with 6 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹69 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  12. 12.A grocer mixes 7 kg of tea at ₹52 per kg with 3 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹55 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  14. 14.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?
  15. 15.A grocer mixes 3 kg of tea at ₹36 per kg with 3 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 50-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  17. 17.A grocer mixes 10 kg of tea at ₹59 per kg with 2 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹73 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  19. 19.A 80-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  20. 20.A grocer mixes 6 kg of tea at ₹101 per kg with 3 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 36-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  22. 22.Rice at ₹50 per kg is mixed with rice at ₹62 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?
  23. 23.A grocer mixes 7 kg of tea at ₹50 per kg with 7 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A jug has 40 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?
  25. 25.A 20-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?
  26. 26.A jug has 10 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?
  27. 27.Rice at ₹38 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  28. 28.A grocer mixes 4 kg of tea at ₹85 per kg with 12 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹40 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  30. 30.A grocer mixes 3 kg of tea at ₹34 per kg with 4 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 4 kg of tea at ₹46 per kg with 9 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 50-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  33. 33.A grocer mixes 4 kg of tea at ₹90 per kg with 8 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹75 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  35. 35.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.Rice at ₹23 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  37. 37.A grocer mixes 4 kg of tea at ₹84 per kg with 4 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹21 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  39. 39.Rice at ₹59 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  40. 40.Rice at ₹30 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?

Answer key

  1. 36
  2. 3
  3. 15
  4. 12
  5. 83
  6. 5
  7. 52
  8. 25
  9. 28
  10. 65
  11. 40
  12. 64
  13. 20
  14. 50
  15. 49
  16. 10
  17. 55
  18. 42
  19. 16
  20. 83
  21. 9
  22. 5
  23. 62
  24. 28
  25. 6
  26. 80
  27. 10
  28. 67
  29. 6
  30. 66
  31. 73
  32. 10
  33. 74
  34. 5
  35. 75
  36. 35
  37. 89
  38. 4
  39. 5
  40. 6

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