← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 162 · 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 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.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 : 9?
  3. 3.Rice at ₹22 per kg is mixed with rice at ₹25 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  4. 4.A grocer mixes 8 kg of tea at ₹26 per kg with 8 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 7 kg of tea at ₹36 per kg with 11 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹46 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  7. 7.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.Rice at ₹56 per kg is mixed with rice at ₹133 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  9. 9.A grocer mixes 12 kg of tea at ₹41 per kg with 6 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 9 kg of tea at ₹56 per kg with 9 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 11 kg of tea at ₹57 per kg with 11 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹45 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  13. 13.Rice at ₹28 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 8 kg of the dearer rice?
  14. 14.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?
  15. 15.Rice at ₹69 per kg is mixed with rice at ₹77 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?
  16. 16.A grocer mixes 3 kg of tea at ₹36 per kg with 4 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 2 kg of tea at ₹53 per kg with 2 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 11 kg of tea at ₹97 per kg with 11 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 36-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  20. 20.A 16-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  21. 21.A 72-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  22. 22.A grocer mixes 12 kg of tea at ₹72 per kg with 6 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 2 kg of tea at ₹57 per kg with 4 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  26. 26.A grocer mixes 3 kg of tea at ₹85 per kg with 9 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹20 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  28. 28.A 12-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  29. 29.Rice at ₹21 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  30. 30.Rice at ₹39 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  31. 31.Rice at ₹49 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.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?
  33. 33.A grocer mixes 11 kg of tea at ₹37 per kg with 11 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹45 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  35. 35.Rice at ₹29 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  36. 36.Rice at ₹36 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  37. 37.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A 40-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  39. 39.Rice at ₹68 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  40. 40.Rice at ₹33 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?

Answer key

  1. 50
  2. 12
  3. 14
  4. 25
  5. 80
  6. 3
  7. 50
  8. 30
  9. 56
  10. 72
  11. 41
  12. 30
  13. 10
  14. 28
  15. 5
  16. 72
  17. 40
  18. 107
  19. 18
  20. 6
  21. 32
  22. 64
  23. 81
  24. 50
  25. 20
  26. 52
  27. 14
  28. 4
  29. 20
  30. 28
  31. 5
  32. 60
  33. 33
  34. 3
  35. 7
  36. 12
  37. 40
  38. 16
  39. 6
  40. 2

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