← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 933 · 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 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?
  2. 2.A grocer mixes 12 kg of tea at ₹92 per kg with 12 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 42-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  4. 4.A grocer mixes 6 kg of tea at ₹77 per kg with 6 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹80 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  6. 6.A 24-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?
  7. 7.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  8. 8.A grocer mixes 9 kg of tea at ₹107 per kg with 11 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 11 kg of tea at ₹34 per kg with 12 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.Rice at ₹79 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  12. 12.A 40-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  13. 13.A grocer mixes 9 kg of tea at ₹111 per kg with 3 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.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?
  16. 16.A 66-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 1 : 2?
  17. 17.Rice at ₹34 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  18. 18.A grocer mixes 8 kg of tea at ₹70 per kg with 8 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.Rice at ₹31 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 30 kg of the dearer rice?
  22. 22.A 35-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  23. 23.A grocer mixes 2 kg of tea at ₹57 per kg with 2 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹33 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  25. 25.Rice at ₹56 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  26. 26.A grocer mixes 11 kg of tea at ₹24 per kg with 2 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹71 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 16 kg of the dearer rice?
  28. 28.Rice at ₹48 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.Rice at ₹26 per kg is mixed with rice at ₹82 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 ₹22 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.Rice at ₹68 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  32. 32.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?
  33. 33.A grocer mixes 4 kg of tea at ₹115 per kg with 6 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 12 kg of tea at ₹64 per kg with 2 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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 : 10?
  36. 36.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A grocer mixes 7 kg of tea at ₹80 per kg with 7 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A jug has 10 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.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?
  40. 40.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?

Answer key

  1. 10
  2. 66
  3. 6
  4. 70
  5. 6
  6. 8
  7. 36
  8. 74
  9. 46
  10. 55
  11. 12
  12. 32
  13. 90
  14. 25
  15. 50
  16. 24
  17. 12
  18. 61
  19. 16
  20. 36
  21. 5
  22. 7
  23. 74
  24. 6
  25. 1
  26. 26
  27. 8
  28. 8
  29. 30
  30. 4
  31. 10
  32. 70
  33. 82
  34. 62
  35. 8
  36. 50
  37. 88
  38. 70
  39. 50
  40. 40

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