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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 7 · 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 ₹32 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  2. 2.Rice at ₹70 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  3. 3.Rice at ₹28 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  4. 4.A grocer mixes 10 kg of tea at ₹104 per kg with 10 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 66-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  6. 6.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?
  7. 7.A jug has 10 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?
  8. 8.Rice at ₹77 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  9. 9.Rice at ₹27 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  10. 10.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 6 kg of the dearer rice?
  11. 11.Rice at ₹48 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  12. 12.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  13. 13.A 36-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?
  14. 14.A grocer mixes 6 kg of tea at ₹90 per kg with 8 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.Rice at ₹65 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  17. 17.A grocer mixes 9 kg of tea at ₹81 per kg with 9 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.Rice at ₹34 per kg is mixed with rice at ₹69 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?
  20. 20.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  22. 22.Rice at ₹66 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  23. 23.A grocer mixes 4 kg of tea at ₹49 per kg with 8 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 42-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  25. 25.Rice at ₹44 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  26. 26.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  27. 27.A grocer mixes 10 kg of tea at ₹114 per kg with 10 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 6 kg of tea at ₹103 per kg with 3 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹51 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  30. 30.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?
  31. 31.A grocer mixes 4 kg of tea at ₹74 per kg with 3 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 32-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  33. 33.Rice at ₹60 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  34. 34.Rice at ₹42 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  35. 35.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?
  36. 36.A grocer mixes 2 kg of tea at ₹62 per kg with 8 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 9 kg of tea at ₹118 per kg with 9 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.A grocer mixes 10 kg of tea at ₹112 per kg with 7 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹45 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?

Answer key

  1. 3
  2. 16
  3. 4
  4. 100
  5. 24
  6. 50
  7. 68
  8. 16
  9. 3
  10. 3
  11. 24
  12. 20
  13. 9
  14. 106
  15. 28
  16. 4
  17. 87
  18. 50
  19. 10
  20. 75
  21. 12
  22. 20
  23. 95
  24. 12
  25. 6
  26. 20
  27. 100
  28. 86
  29. 20
  30. 40
  31. 68
  32. 16
  33. 12
  34. 5
  35. 6
  36. 42
  37. 77
  38. 28
  39. 77
  40. 6

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