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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 540 · 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.A grocer mixes 10 kg of tea at ₹27 per kg with 10 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹22 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  3. 3.A jug has 40 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.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?
  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 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?
  8. 8.A 32-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?
  9. 9.A grocer mixes 10 kg of tea at ₹20 per kg with 10 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.A grocer mixes 9 kg of tea at ₹89 per kg with 9 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 2 kg of tea at ₹20 per kg with 8 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹62 per kg is mixed with rice at ₹134 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  14. 14.Rice at ₹64 per kg is mixed with rice at ₹92 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?
  15. 15.A grocer mixes 4 kg of tea at ₹84 per kg with 5 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  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 81-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  19. 19.A jug has 40 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.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?
  21. 21.A grocer mixes 3 kg of tea at ₹70 per kg with 12 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 4 kg of tea at ₹32 per kg with 2 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.A grocer mixes 2 kg of tea at ₹46 per kg with 4 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.Rice at ₹74 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  27. 27.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 3 : 7?
  28. 28.Rice at ₹67 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  29. 29.Rice at ₹66 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  30. 30.Rice at ₹61 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  31. 31.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?
  32. 32.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 5 : 3?
  33. 33.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?
  34. 34.A 40-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  35. 35.A grocer mixes 10 kg of tea at ₹53 per kg with 5 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹31 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  37. 37.A grocer mixes 5 kg of tea at ₹114 per kg with 3 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹23 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  39. 39.A 63-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?
  40. 40.A grocer mixes 12 kg of tea at ₹99 per kg with 6 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 70
  2. 20
  3. 60
  4. 25
  5. 52
  6. 50
  7. 75
  8. 32
  9. 58
  10. 40
  11. 90
  12. 76
  13. 8
  14. 30
  15. 79
  16. 9
  17. 50
  18. 18
  19. 52
  20. 40
  21. 90
  22. 53
  23. 50
  24. 74
  25. 40
  26. 20
  27. 18
  28. 21
  29. 8
  30. 35
  31. 60
  32. 6
  33. 40
  34. 4
  35. 74
  36. 40
  37. 99
  38. 20
  39. 21
  40. 82

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