← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 453 · 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 8 kg of tea at ₹88 per kg with 5 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 2 kg of tea at ₹27 per kg with 3 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹26 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹42 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 ₹89 per kg with 4 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹76 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  6. 6.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  7. 7.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?
  8. 8.A 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  9. 9.A 88-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  10. 10.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.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?
  12. 12.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?
  13. 13.Rice at ₹73 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  14. 14.Rice at ₹41 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  15. 15.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  16. 16.A grocer mixes 2 kg of tea at ₹86 per kg with 3 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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 7 : 9?
  18. 18.Rice at ₹22 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  19. 19.A grocer mixes 10 kg of tea at ₹66 per kg with 5 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹70 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  21. 21.Rice at ₹40 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  22. 22.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?
  23. 23.A grocer mixes 6 kg of tea at ₹35 per kg with 10 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.A 32-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  26. 26.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?
  27. 27.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  28. 28.A jug has 10 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?
  29. 29.A grocer mixes 12 kg of tea at ₹83 per kg with 12 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 3 kg of tea at ₹109 per kg with 5 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹71 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  32. 32.A grocer mixes 5 kg of tea at ₹69 per kg with 5 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 36-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  34. 34.A 36-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  35. 35.A 70-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?
  36. 36.A jug has 40 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?
  37. 37.A grocer mixes 6 kg of tea at ₹97 per kg with 4 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A jug has 40 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 80-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  40. 40.Rice at ₹33 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?

Answer key

  1. 78
  2. 63
  3. 12
  4. 90
  5. 5
  6. 3
  7. 40
  8. 12
  9. 32
  10. 75
  11. 20
  12. 50
  13. 5
  14. 20
  15. 3
  16. 77
  17. 28
  18. 2
  19. 76
  20. 10
  21. 35
  22. 36
  23. 65
  24. 40
  25. 8
  26. 52
  27. 10
  28. 40
  29. 86
  30. 74
  31. 8
  32. 76
  33. 6
  34. 8
  35. 10
  36. 40
  37. 89
  38. 52
  39. 30
  40. 32

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