← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 92 · 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 10 kg of tea at ₹38 per kg with 12 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.A jug has 10 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?
  4. 4.A grocer mixes 6 kg of tea at ₹34 per kg with 3 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.Rice at ₹42 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 6 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.Rice at ₹55 per kg is mixed with rice at ₹132 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  9. 9.Rice at ₹28 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  10. 10.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  11. 11.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?
  12. 12.Rice at ₹21 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  13. 13.A 28-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?
  14. 14.A 84-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  15. 15.A grocer mixes 12 kg of tea at ₹105 per kg with 3 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹55 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  17. 17.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?
  18. 18.A jug has 10 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?
  19. 19.Rice at ₹70 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  20. 20.A grocer mixes 2 kg of tea at ₹48 per kg with 3 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹67 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  22. 22.Rice at ₹52 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  23. 23.A grocer mixes 8 kg of tea at ₹25 per kg with 2 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹29 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  25. 25.A grocer mixes 12 kg of tea at ₹95 per kg with 3 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹74 per kg is mixed with rice at ₹130 per kg to make a mix worth ₹114 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  27. 27.A grocer mixes 7 kg of tea at ₹65 per kg with 7 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 2 kg of tea at ₹84 per kg with 8 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 49-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?
  30. 30.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 : 8?
  31. 31.A grocer mixes 4 kg of tea at ₹43 per kg with 8 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹58 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  33. 33.A grocer mixes 2 kg of tea at ₹90 per kg with 8 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A jug has 40 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?
  35. 35.Rice at ₹67 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  36. 36.Rice at ₹71 per kg is mixed with rice at ₹119 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  37. 37.Rice at ₹80 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  38. 38.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?
  39. 39.A 72-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  40. 40.Rice at ₹47 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?

Answer key

  1. 68
  2. 60
  3. 50
  4. 38
  5. 60
  6. 4
  7. 52
  8. 18
  9. 6
  10. 6
  11. 25
  12. 10
  13. 4
  14. 28
  15. 91
  16. 5
  17. 36
  18. 70
  19. 24
  20. 75
  21. 6
  22. 12
  23. 44
  24. 25
  25. 92
  26. 2
  27. 89
  28. 96
  29. 7
  30. 12
  31. 81
  32. 6
  33. 74
  34. 20
  35. 1
  36. 25
  37. 24
  38. 55
  39. 36
  40. 2

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