← Mixtures and alligation lesson New set →

Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 838 · 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 jug has 20 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?
  2. 2.A 64-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  3. 3.Rice at ₹43 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  4. 4.Rice at ₹20 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  5. 5.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?
  6. 6.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  7. 7.Rice at ₹41 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  8. 8.Rice at ₹66 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  9. 9.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?
  10. 10.A grocer mixes 2 kg of tea at ₹29 per kg with 2 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹71 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  12. 12.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 2 : 1?
  13. 13.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 6 : 5?
  14. 14.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?
  15. 15.Rice at ₹79 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  16. 16.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 : 5?
  17. 17.A grocer mixes 2 kg of tea at ₹112 per kg with 2 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 3 kg of tea at ₹21 per kg with 2 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 2 kg of tea at ₹41 per kg with 3 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A jug has 40 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?
  21. 21.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?
  22. 22.Rice at ₹25 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.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?
  24. 24.A jug has 10 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?
  25. 25.Rice at ₹65 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  26. 26.A grocer mixes 5 kg of tea at ₹53 per kg with 10 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 9 kg of tea at ₹87 per kg with 2 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 64-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  29. 29.A grocer mixes 9 kg of tea at ₹116 per kg with 9 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 45-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  31. 31.Rice at ₹66 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  32. 32.Rice at ₹80 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  33. 33.Rice at ₹54 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  34. 34.A 60-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?
  35. 35.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  36. 36.Rice at ₹64 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  37. 37.A 80-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  38. 38.A 56-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  39. 39.A grocer mixes 8 kg of tea at ₹103 per kg with 4 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 5 kg of tea at ₹40 per kg with 5 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 60
  2. 8
  3. 7
  4. 24
  5. 70
  6. 8
  7. 2
  8. 12
  9. 20
  10. 70
  11. 12
  12. 8
  13. 12
  14. 70
  15. 12
  16. 18
  17. 107
  18. 51
  19. 53
  20. 60
  21. 25
  22. 30
  23. 55
  24. 80
  25. 4
  26. 71
  27. 75
  28. 16
  29. 76
  30. 18
  31. 30
  32. 10
  33. 5
  34. 10
  35. 6
  36. 24
  37. 30
  38. 28
  39. 78
  40. 42

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