← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 563 · 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 grocer mixes 9 kg of tea at ₹59 per kg with 9 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.A grocer mixes 9 kg of tea at ₹20 per kg with 9 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  5. 5.A grocer mixes 4 kg of tea at ₹97 per kg with 4 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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 6 : 7?
  7. 7.A grocer mixes 6 kg of tea at ₹113 per kg with 12 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 90-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  9. 9.A grocer mixes 6 kg of tea at ₹51 per kg with 2 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  11. 11.Rice at ₹33 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  12. 12.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  14. 14.Rice at ₹37 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  15. 15.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 : 3?
  16. 16.Rice at ₹48 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  17. 17.Rice at ₹65 per kg is mixed with rice at ₹95 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?
  18. 18.A grocer mixes 6 kg of tea at ₹110 per kg with 6 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 33-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  20. 20.A grocer mixes 9 kg of tea at ₹28 per kg with 10 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹20 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  22. 22.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  23. 23.A 84-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  24. 24.Rice at ₹24 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  25. 25.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?
  26. 26.Rice at ₹43 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  27. 27.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?
  28. 28.Rice at ₹45 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  29. 29.A grocer mixes 5 kg of tea at ₹31 per kg with 5 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.Rice at ₹68 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  32. 32.A grocer mixes 9 kg of tea at ₹80 per kg with 6 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹58 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  34. 34.Rice at ₹32 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  35. 35.Rice at ₹46 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 20 kg of the dearer rice?
  36. 36.A grocer mixes 8 kg of tea at ₹46 per kg with 4 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A jug has 10 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?
  38. 38.A grocer mixes 4 kg of tea at ₹90 per kg with 6 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 36-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  40. 40.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?

Answer key

  1. 49
  2. 40
  3. 23
  4. 3
  5. 62
  6. 4
  7. 69
  8. 30
  9. 61
  10. 20
  11. 3
  12. 60
  13. 15
  14. 15
  15. 9
  16. 16
  17. 10
  18. 114
  19. 6
  20. 38
  21. 25
  22. 32
  23. 14
  24. 20
  25. 50
  26. 28
  27. 40
  28. 3
  29. 55
  30. 28
  31. 32
  32. 78
  33. 2
  34. 30
  35. 12
  36. 57
  37. 55
  38. 72
  39. 12
  40. 52

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