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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 242 · 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 ₹37 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.Rice at ₹47 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  3. 3.Rice at ₹58 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  4. 4.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 : 7?
  5. 5.Rice at ₹34 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  6. 6.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  7. 7.A grocer mixes 8 kg of tea at ₹24 per kg with 4 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.Rice at ₹63 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  10. 10.Rice at ₹21 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  11. 11.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 : 2?
  12. 12.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?
  13. 13.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?
  14. 14.A grocer mixes 4 kg of tea at ₹78 per kg with 9 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.A grocer mixes 8 kg of tea at ₹112 per kg with 8 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.Rice at ₹48 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.A 56-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?
  20. 20.A grocer mixes 9 kg of tea at ₹34 per kg with 9 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A 25-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  23. 23.Rice at ₹26 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  24. 24.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  25. 25.Rice at ₹39 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?
  26. 26.A 99-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?
  27. 27.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?
  28. 28.A grocer mixes 8 kg of tea at ₹32 per kg with 4 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 7 kg of tea at ₹117 per kg with 2 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  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.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.A grocer mixes 4 kg of tea at ₹46 per kg with 10 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹41 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  34. 34.A grocer mixes 8 kg of tea at ₹36 per kg with 12 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹32 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  36. 36.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?
  37. 37.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 3 : 2?
  38. 38.A 35-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  39. 39.A 36-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  40. 40.A 130-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?

Answer key

  1. 36
  2. 24
  3. 4
  4. 4
  5. 7
  6. 6
  7. 53
  8. 40
  9. 9
  10. 2
  11. 7
  12. 2
  13. 50
  14. 69
  15. 25
  16. 93
  17. 50
  18. 12
  19. 8
  20. 59
  21. 80
  22. 10
  23. 24
  24. 18
  25. 2
  26. 36
  27. 40
  28. 41
  29. 99
  30. 75
  31. 50
  32. 51
  33. 9
  34. 33
  35. 12
  36. 25
  37. 8
  38. 28
  39. 16
  40. 20

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