← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 235 · 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 10 kg of tea at ₹57 per kg with 5 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹29 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  3. 3.Rice at ₹49 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  4. 4.A 55-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?
  5. 5.A 24-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  6. 6.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?
  7. 7.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.A 77-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  9. 9.A grocer mixes 2 kg of tea at ₹115 per kg with 3 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 11 kg of tea at ₹95 per kg with 6 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 6 kg of tea at ₹25 per kg with 12 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹68 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  13. 13.A grocer mixes 8 kg of tea at ₹62 per kg with 8 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 4 kg of tea at ₹91 per kg with 8 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 21-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?
  16. 16.Rice at ₹41 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  17. 17.A grocer mixes 8 kg of tea at ₹41 per kg with 10 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.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?
  19. 19.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?
  20. 20.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?
  21. 21.Rice at ₹28 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 10 kg of the dearer rice?
  22. 22.Rice at ₹39 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  23. 23.A 49-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?
  24. 24.A grocer mixes 7 kg of tea at ₹73 per kg with 2 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A jug has 40 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A grocer mixes 3 kg of tea at ₹27 per kg with 4 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 2 kg of tea at ₹107 per kg with 3 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  29. 29.Rice at ₹74 per kg is mixed with rice at ₹140 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  30. 30.A 96-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  31. 31.A 63-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  32. 32.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?
  33. 33.A 56-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?
  34. 34.Rice at ₹72 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.A 54-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  36. 36.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?
  37. 37.A jug has 10 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?
  38. 38.Rice at ₹34 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  39. 39.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.A grocer mixes 2 kg of tea at ₹42 per kg with 11 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 61
  2. 8
  3. 9
  4. 10
  5. 6
  6. 50
  7. 76
  8. 21
  9. 73
  10. 101
  11. 59
  12. 4
  13. 42
  14. 47
  15. 3
  16. 20
  17. 71
  18. 70
  19. 40
  20. 50
  21. 5
  22. 21
  23. 21
  24. 63
  25. 60
  26. 67
  27. 71
  28. 6
  29. 5
  30. 8
  31. 14
  32. 25
  33. 14
  34. 16
  35. 6
  36. 28
  37. 70
  38. 6
  39. 60
  40. 31

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