← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 273 · 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 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 : 8?
  2. 2.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?
  3. 3.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?
  4. 4.A grocer mixes 2 kg of tea at ₹91 per kg with 11 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹26 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  6. 6.Rice at ₹66 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  7. 7.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 : 4?
  8. 8.Rice at ₹26 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  9. 9.Rice at ₹48 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  10. 10.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  11. 11.A 18-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  12. 12.A 16-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  13. 13.Rice at ₹57 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  14. 14.A 30-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  15. 15.Rice at ₹21 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  16. 16.A grocer mixes 2 kg of tea at ₹89 per kg with 4 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.A jug has 40 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?
  19. 19.A grocer mixes 6 kg of tea at ₹101 per kg with 6 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 10 kg of tea at ₹30 per kg with 10 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 12-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?
  22. 22.Rice at ₹28 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  23. 23.Rice at ₹51 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  24. 24.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.Rice at ₹31 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  27. 27.A grocer mixes 11 kg of tea at ₹81 per kg with 11 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 6 kg of tea at ₹62 per kg with 3 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹29 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  30. 30.A grocer mixes 10 kg of tea at ₹41 per kg with 10 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹20 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  32. 32.A 63-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?
  33. 33.Rice at ₹35 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  34. 34.A 54-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?
  35. 35.A jug has 10 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?
  36. 36.A grocer mixes 4 kg of tea at ₹88 per kg with 2 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 48-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  38. 38.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?
  39. 39.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 : 8?
  40. 40.Rice at ₹48 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?

Answer key

  1. 6
  2. 36
  3. 68
  4. 36
  5. 21
  6. 3
  7. 10
  8. 5
  9. 4
  10. 8
  11. 24
  12. 8
  13. 2
  14. 9
  15. 7
  16. 85
  17. 50
  18. 40
  19. 85
  20. 56
  21. 8
  22. 25
  23. 21
  24. 25
  25. 64
  26. 15
  27. 64
  28. 64
  29. 28
  30. 66
  31. 40
  32. 36
  33. 32
  34. 18
  35. 60
  36. 98
  37. 18
  38. 25
  39. 8
  40. 28

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