← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 480 · 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 ₹46 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  2. 2.Rice at ₹43 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  3. 3.Rice at ₹39 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  4. 4.A grocer mixes 12 kg of tea at ₹68 per kg with 8 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 42-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  6. 6.A grocer mixes 6 kg of tea at ₹62 per kg with 10 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹51 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  8. 8.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?
  9. 9.Rice at ₹52 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  10. 10.Rice at ₹26 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  11. 11.Rice at ₹22 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  12. 12.Rice at ₹71 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  13. 13.A jug has 20 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?
  14. 14.Rice at ₹58 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  15. 15.A grocer mixes 3 kg of tea at ₹47 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  17. 17.A grocer mixes 3 kg of tea at ₹75 per kg with 6 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 12 kg of tea at ₹73 per kg with 2 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 2 kg of tea at ₹87 per kg with 12 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 8 kg of tea at ₹101 per kg with 12 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 9 kg of tea at ₹104 per kg with 9 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 27-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  23. 23.A 22-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  24. 24.A 120-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  25. 25.A grocer mixes 2 kg of tea at ₹63 per kg with 6 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 8 kg of tea at ₹65 per kg with 6 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹47 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  28. 28.Rice at ₹24 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  29. 29.A grocer mixes 3 kg of tea at ₹24 per kg with 3 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  31. 31.A 22-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  32. 32.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A 42-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  34. 34.A 40-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?
  35. 35.A grocer mixes 2 kg of tea at ₹34 per kg with 4 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹56 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  37. 37.A 28-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?
  38. 38.Rice at ₹21 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  39. 39.A grocer mixes 10 kg of tea at ₹98 per kg with 5 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 10 kg of tea at ₹33 per kg with 10 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 9
  2. 2
  3. 4
  4. 78
  5. 24
  6. 72
  7. 7
  8. 20
  9. 18
  10. 14
  11. 6
  12. 1
  13. 52
  14. 8
  15. 40
  16. 30
  17. 63
  18. 78
  19. 69
  20. 53
  21. 64
  22. 27
  23. 8
  24. 30
  25. 69
  26. 50
  27. 7
  28. 6
  29. 23
  30. 3
  31. 8
  32. 75
  33. 7
  34. 8
  35. 68
  36. 8
  37. 21
  38. 4
  39. 75
  40. 68

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