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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 153 · 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 ₹75 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  2. 2.A 40-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  3. 3.A grocer mixes 4 kg of tea at ₹36 per kg with 4 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 4 kg of tea at ₹67 per kg with 2 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹72 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 3 kg of the dearer rice?
  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 grocer mixes 4 kg of tea at ₹118 per kg with 4 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.A 45-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  10. 10.A grocer mixes 5 kg of tea at ₹25 per kg with 2 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹53 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  12. 12.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?
  13. 13.Rice at ₹53 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  14. 14.A 20-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  15. 15.Rice at ₹66 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹106 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  16. 16.A 16-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?
  17. 17.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?
  18. 18.A grocer mixes 2 kg of tea at ₹56 per kg with 4 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 35-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  20. 20.A grocer mixes 6 kg of tea at ₹45 per kg with 3 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 77-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  22. 22.A grocer mixes 2 kg of tea at ₹40 per kg with 6 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹24 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.Rice at ₹29 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  25. 25.A jug has 20 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?
  26. 26.Rice at ₹37 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  27. 27.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?
  28. 28.A 64-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  29. 29.A grocer mixes 5 kg of tea at ₹92 per kg with 5 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.Rice at ₹28 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  32. 32.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?
  33. 33.A jug has 10 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?
  34. 34.A 28-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  35. 35.Rice at ₹61 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  36. 36.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A 96-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  38. 38.A 30-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  39. 39.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?
  40. 40.A grocer mixes 2 kg of tea at ₹69 per kg with 6 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 10
  2. 32
  3. 50
  4. 74
  5. 5
  6. 50
  7. 88
  8. 50
  9. 5
  10. 49
  11. 6
  12. 75
  13. 5
  14. 10
  15. 1
  16. 4
  17. 60
  18. 82
  19. 28
  20. 55
  21. 14
  22. 91
  23. 4
  24. 21
  25. 40
  26. 18
  27. 50
  28. 8
  29. 90
  30. 64
  31. 32
  32. 25
  33. 60
  34. 16
  35. 25
  36. 36
  37. 8
  38. 6
  39. 50
  40. 105

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