← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 466 · 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 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹62 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  3. 3.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?
  4. 4.Rice at ₹76 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  5. 5.A 18-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?
  6. 6.A grocer mixes 2 kg of tea at ₹44 per kg with 6 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹36 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  8. 8.Rice at ₹45 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  9. 9.A grocer mixes 4 kg of tea at ₹116 per kg with 4 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹35 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  11. 11.A grocer mixes 4 kg of tea at ₹27 per kg with 9 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 14-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  13. 13.Rice at ₹36 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  14. 14.A grocer mixes 8 kg of tea at ₹25 per kg with 10 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹57 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  16. 16.Rice at ₹28 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  17. 17.Rice at ₹24 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  18. 18.A grocer mixes 4 kg of tea at ₹50 per kg with 9 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 8 kg of tea at ₹95 per kg with 10 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.A grocer mixes 3 kg of tea at ₹28 per kg with 6 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹59 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  23. 23.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  24. 24.Rice at ₹37 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  25. 25.Rice at ₹23 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  26. 26.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?
  27. 27.A 30-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?
  28. 28.Rice at ₹50 per kg is mixed with rice at ₹58 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.Rice at ₹73 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  30. 30.A 36-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  31. 31.A jug has 20 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?
  32. 32.A 6-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  33. 33.A jug has 10 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?
  34. 34.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?
  35. 35.A grocer mixes 9 kg of tea at ₹45 per kg with 3 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 10 kg of tea at ₹41 per kg with 11 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 104-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?
  38. 38.A jug has 50 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?
  39. 39.Rice at ₹37 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  40. 40.A jug has 20 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?

Answer key

  1. 50
  2. 40
  3. 20
  4. 21
  5. 8
  6. 62
  7. 36
  8. 12
  9. 96
  10. 1
  11. 54
  12. 4
  13. 24
  14. 30
  15. 20
  16. 6
  17. 14
  18. 41
  19. 60
  20. 50
  21. 24
  22. 12
  23. 20
  24. 20
  25. 15
  26. 50
  27. 18
  28. 24
  29. 35
  30. 9
  31. 40
  32. 4
  33. 68
  34. 50
  35. 53
  36. 74
  37. 8
  38. 50
  39. 12
  40. 70

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