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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 505 · 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 ₹26 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  2. 2.A grocer mixes 12 kg of tea at ₹33 per kg with 4 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹40 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  4. 4.A 60-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 10-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  6. 6.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A grocer mixes 5 kg of tea at ₹111 per kg with 10 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.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?
  10. 10.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?
  11. 11.Rice at ₹75 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 10 kg of the dearer rice?
  12. 12.A grocer mixes 12 kg of tea at ₹24 per kg with 6 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹45 per kg is mixed with rice at ₹51 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?
  14. 14.A 20-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  15. 15.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  16. 16.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.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?
  19. 19.A grocer mixes 9 kg of tea at ₹105 per kg with 9 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹45 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  21. 21.Rice at ₹64 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  22. 22.Rice at ₹42 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  23. 23.Rice at ₹50 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  24. 24.Rice at ₹36 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  25. 25.A 22-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?
  26. 26.Rice at ₹60 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  27. 27.A grocer mixes 6 kg of tea at ₹101 per kg with 4 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  29. 29.A grocer mixes 12 kg of tea at ₹54 per kg with 4 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 40-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?
  31. 31.Rice at ₹31 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  32. 32.Rice at ₹27 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  33. 33.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  34. 34.A jug has 20 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?
  35. 35.Rice at ₹74 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  36. 36.A grocer mixes 4 kg of tea at ₹24 per kg with 12 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 49-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  38. 38.A grocer mixes 4 kg of tea at ₹90 per kg with 6 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 4 kg of tea at ₹30 per kg with 4 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 36
  2. 32
  3. 5
  4. 20
  5. 8
  6. 50
  7. 113
  8. 60
  9. 75
  10. 20
  11. 5
  12. 30
  13. 3
  14. 20
  15. 3
  16. 75
  17. 50
  18. 40
  19. 104
  20. 15
  21. 4
  22. 24
  23. 14
  24. 32
  25. 8
  26. 6
  27. 91
  28. 8
  29. 48
  30. 10
  31. 6
  32. 15
  33. 16
  34. 50
  35. 25
  36. 54
  37. 7
  38. 81
  39. 72
  40. 36

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