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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 721 · 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.Rice at ₹50 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  2. 2.A grocer mixes 9 kg of tea at ₹47 per kg with 3 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 6 kg of tea at ₹100 per kg with 8 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 120-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  5. 5.A jug has 20 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?
  6. 6.A grocer mixes 3 kg of tea at ₹81 per kg with 7 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 48-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  8. 8.Rice at ₹29 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  9. 9.A 18-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?
  10. 10.Rice at ₹52 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  11. 11.Rice at ₹27 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 20 kg of the dearer rice?
  12. 12.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?
  13. 13.Rice at ₹71 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  14. 14.Rice at ₹53 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  15. 15.Rice at ₹64 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  16. 16.A 28-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  17. 17.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?
  18. 18.A 14-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  19. 19.A grocer mixes 9 kg of tea at ₹59 per kg with 9 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.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?
  22. 22.Rice at ₹76 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  23. 23.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?
  24. 24.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?
  25. 25.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A grocer mixes 10 kg of tea at ₹39 per kg with 4 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹68 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  28. 28.A 28-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?
  29. 29.A 63-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  30. 30.A jug has 10 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?
  31. 31.Rice at ₹21 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.A 25-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?
  33. 33.A grocer mixes 5 kg of tea at ₹85 per kg with 3 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 21-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  35. 35.A grocer mixes 2 kg of tea at ₹100 per kg with 4 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A jug has 50 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 grocer mixes 3 kg of tea at ₹41 per kg with 9 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 5 kg of tea at ₹56 per kg with 6 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹53 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  40. 40.Rice at ₹80 per kg is mixed with rice at ₹87 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?

Answer key

  1. 6
  2. 49
  3. 56
  4. 40
  5. 28
  6. 102
  7. 24
  8. 42
  9. 6
  10. 10
  11. 4
  12. 60
  13. 15
  14. 35
  15. 15
  16. 14
  17. 40
  18. 6
  19. 86
  20. 3
  21. 50
  22. 6
  23. 76
  24. 70
  25. 64
  26. 41
  27. 2
  28. 16
  29. 28
  30. 75
  31. 10
  32. 5
  33. 64
  34. 9
  35. 48
  36. 25
  37. 59
  38. 38
  39. 6
  40. 15

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