← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 666 · 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.Rice at ₹76 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  2. 2.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?
  3. 3.A 16-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  4. 4.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?
  5. 5.A grocer mixes 6 kg of tea at ₹97 per kg with 6 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 91-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  7. 7.Rice at ₹46 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  8. 8.A grocer mixes 3 kg of tea at ₹106 per kg with 9 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  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 : 3?
  10. 10.A 63-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?
  11. 11.Rice at ₹20 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  12. 12.A grocer mixes 8 kg of tea at ₹117 per kg with 4 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹54 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  14. 14.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?
  15. 15.A grocer mixes 2 kg of tea at ₹54 per kg with 6 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 56-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  17. 17.Rice at ₹72 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.A grocer mixes 3 kg of tea at ₹55 per kg with 2 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹32 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  20. 20.A 32-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  21. 21.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  22. 22.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?
  23. 23.A 25-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  24. 24.A grocer mixes 8 kg of tea at ₹113 per kg with 4 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 45-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  26. 26.A 14-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  27. 27.Rice at ₹47 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  28. 28.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 : 8?
  29. 29.Rice at ₹63 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  30. 30.A grocer mixes 6 kg of tea at ₹105 per kg with 8 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.Rice at ₹56 per kg is mixed with rice at ₹120 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?
  33. 33.A jug has 10 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?
  34. 34.Rice at ₹59 per kg is mixed with rice at ₹115 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?
  35. 35.A grocer mixes 2 kg of tea at ₹23 per kg with 4 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 8 kg of tea at ₹77 per kg with 3 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹70 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  38. 38.A 91-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  39. 39.Rice at ₹71 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  40. 40.A grocer mixes 11 kg of tea at ₹38 per kg with 5 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 6
  2. 60
  3. 8
  4. 60
  5. 93
  6. 14
  7. 6
  8. 112
  9. 9
  10. 7
  11. 21
  12. 113
  13. 30
  14. 60
  15. 90
  16. 16
  17. 20
  18. 73
  19. 14
  20. 24
  21. 28
  22. 25
  23. 15
  24. 110
  25. 27
  26. 8
  27. 15
  28. 8
  29. 1
  30. 89
  31. 60
  32. 9
  33. 55
  34. 20
  35. 65
  36. 86
  37. 9
  38. 7
  39. 7
  40. 43

Free quantitative aptitude lessons, practice and worksheets at talentjr.in/quantitative-aptitude