← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 378 · 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 ₹34 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  2. 2.A 78-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  3. 3.Rice at ₹34 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  4. 4.A grocer mixes 12 kg of tea at ₹50 per kg with 6 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹56 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  6. 6.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 1 : 3?
  7. 7.A grocer mixes 2 kg of tea at ₹45 per kg with 8 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹36 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.A grocer mixes 4 kg of tea at ₹31 per kg with 8 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 20 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?
  11. 11.A grocer mixes 8 kg of tea at ₹34 per kg with 8 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹41 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  13. 13.Rice at ₹51 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  14. 14.Rice at ₹29 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  15. 15.Rice at ₹28 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  16. 16.A 63-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  17. 17.A grocer mixes 6 kg of tea at ₹27 per kg with 6 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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 : 3?
  19. 19.Rice at ₹50 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  20. 20.Rice at ₹71 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  21. 21.Rice at ₹21 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 15 kg of the dearer rice?
  22. 22.Rice at ₹31 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  23. 23.Rice at ₹37 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.A 36-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  25. 25.A grocer mixes 2 kg of tea at ₹23 per kg with 12 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹37 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  27. 27.A grocer mixes 4 kg of tea at ₹37 per kg with 10 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 21-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  29. 29.Rice at ₹25 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  30. 30.A 90-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  31. 31.A grocer mixes 9 kg of tea at ₹84 per kg with 2 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 48-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  33. 33.Rice at ₹46 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  34. 34.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  35. 35.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?
  36. 36.A grocer mixes 8 kg of tea at ₹107 per kg with 4 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹56 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  38. 38.Rice at ₹38 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  39. 39.A grocer mixes 10 kg of tea at ₹28 per kg with 5 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 4 kg of tea at ₹115 per kg with 2 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 30
  2. 24
  3. 30
  4. 66
  5. 35
  6. 4
  7. 57
  8. 15
  9. 65
  10. 55
  11. 48
  12. 6
  13. 40
  14. 21
  15. 20
  16. 14
  17. 24
  18. 3
  19. 6
  20. 40
  21. 6
  22. 3
  23. 18
  24. 18
  25. 89
  26. 2
  27. 47
  28. 3
  29. 14
  30. 10
  31. 88
  32. 12
  33. 21
  34. 20
  35. 36
  36. 95
  37. 6
  38. 12
  39. 51
  40. 110

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