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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 854 · 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 ₹62 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  2. 2.Rice at ₹64 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  3. 3.A 60-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  4. 4.A 72-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  5. 5.Rice at ₹25 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  6. 6.A grocer mixes 4 kg of tea at ₹114 per kg with 4 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹65 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  8. 8.Rice at ₹28 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  9. 9.A 80-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  10. 10.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  11. 11.Rice at ₹36 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  12. 12.Rice at ₹40 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  13. 13.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?
  14. 14.Rice at ₹66 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  15. 15.A grocer mixes 2 kg of tea at ₹92 per kg with 4 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 10 kg of tea at ₹68 per kg with 10 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 10 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?
  18. 18.A 15-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  19. 19.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?
  20. 20.Rice at ₹35 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  21. 21.A grocer mixes 3 kg of tea at ₹40 per kg with 7 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹67 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  23. 23.Rice at ₹47 per kg is mixed with rice at ₹61 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?
  24. 24.Rice at ₹68 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  25. 25.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?
  26. 26.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?
  27. 27.A 90-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  28. 28.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?
  29. 29.A grocer mixes 8 kg of tea at ₹79 per kg with 8 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹69 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 3 kg of the dearer rice?
  31. 31.A grocer mixes 10 kg of tea at ₹48 per kg with 2 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  33. 33.Rice at ₹22 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  34. 34.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?
  35. 35.Rice at ₹73 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  36. 36.A grocer mixes 2 kg of tea at ₹44 per kg with 3 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹75 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  38. 38.A grocer mixes 3 kg of tea at ₹90 per kg with 6 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 22-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  40. 40.A jug has 20 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?

Answer key

  1. 4
  2. 8
  3. 20
  4. 9
  5. 1
  6. 97
  7. 2
  8. 9
  9. 20
  10. 10
  11. 30
  12. 8
  13. 28
  14. 3
  15. 84
  16. 70
  17. 55
  18. 15
  19. 60
  20. 30
  21. 26
  22. 24
  23. 16
  24. 20
  25. 50
  26. 75
  27. 30
  28. 60
  29. 68
  30. 15
  31. 45
  32. 8
  33. 25
  34. 55
  35. 28
  36. 65
  37. 6
  38. 106
  39. 6
  40. 52

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