← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 455 · 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 ₹44 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  2. 2.A grocer mixes 5 kg of tea at ₹102 per kg with 4 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹60 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  4. 4.A grocer mixes 12 kg of tea at ₹26 per kg with 6 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹64 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  6. 6.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 : 2?
  7. 7.A 110-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  8. 8.A grocer mixes 8 kg of tea at ₹86 per kg with 4 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.Rice at ₹27 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 5 kg of the dearer rice?
  11. 11.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?
  12. 12.Rice at ₹64 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  13. 13.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?
  14. 14.Rice at ₹64 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  15. 15.A 26-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  16. 16.Rice at ₹29 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  17. 17.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 1 : 1?
  18. 18.Rice at ₹51 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  19. 19.Rice at ₹21 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  20. 20.A 27-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?
  21. 21.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  22. 22.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  23. 23.A grocer mixes 12 kg of tea at ₹31 per kg with 6 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹75 per kg is mixed with rice at ₹163 per kg to make a mix worth ₹123 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  25. 25.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.Rice at ₹45 per kg is mixed with rice at ₹69 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?
  27. 27.A 40-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  28. 28.A grocer mixes 3 kg of tea at ₹40 per kg with 3 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹41 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  30. 30.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 : 5?
  31. 31.Rice at ₹42 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  32. 32.Rice at ₹64 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  33. 33.Rice at ₹53 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  34. 34.Rice at ₹35 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  35. 35.A jug has 40 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?
  36. 36.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 1 : 1?
  37. 37.A grocer mixes 2 kg of tea at ₹91 per kg with 4 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹43 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  39. 39.A 48-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?
  40. 40.A jug has 25 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?

Answer key

  1. 7
  2. 74
  3. 48
  4. 55
  5. 30
  6. 6
  7. 20
  8. 91
  9. 55
  10. 4
  11. 40
  12. 7
  13. 40
  14. 10
  15. 2
  16. 14
  17. 24
  18. 6
  19. 10
  20. 36
  21. 8
  22. 4
  23. 42
  24. 10
  25. 50
  26. 9
  27. 10
  28. 42
  29. 10
  30. 24
  31. 2
  32. 10
  33. 35
  34. 5
  35. 28
  36. 10
  37. 95
  38. 4
  39. 24
  40. 50

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