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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 297 · 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.

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  1. 1.A grocer mixes 3 kg of tea at ₹113 per kg with 6 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.A 30-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  4. 4.Rice at ₹32 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  5. 5.Rice at ₹22 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  6. 6.Rice at ₹43 per kg is mixed with rice at ₹131 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  7. 7.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?
  8. 8.Rice at ₹78 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  9. 9.Rice at ₹54 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  10. 10.Rice at ₹54 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  11. 11.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?
  12. 12.Rice at ₹74 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  13. 13.A grocer mixes 6 kg of tea at ₹39 per kg with 4 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 7 kg of tea at ₹91 per kg with 7 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹68 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  16. 16.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?
  17. 17.A 63-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  18. 18.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?
  19. 19.A grocer mixes 4 kg of tea at ₹53 per kg with 6 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹27 per kg is mixed with rice at ₹32 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?
  21. 21.A grocer mixes 8 kg of tea at ₹55 per kg with 10 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.Rice at ₹21 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.A grocer mixes 3 kg of tea at ₹69 per kg with 4 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 24-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  26. 26.Rice at ₹71 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  27. 27.Rice at ₹34 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  28. 28.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.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?
  30. 30.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.Rice at ₹31 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  32. 32.A grocer mixes 10 kg of tea at ₹44 per kg with 5 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹71 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  34. 34.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 : 8?
  35. 35.A grocer mixes 5 kg of tea at ₹84 per kg with 10 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 6 kg of tea at ₹93 per kg with 7 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A jug has 10 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?
  38. 38.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 4 : 9?
  39. 39.Rice at ₹35 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  40. 40.A jug has 50 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?

Answer key

  1. 93
  2. 55
  3. 6
  4. 5
  5. 8
  6. 36
  7. 50
  8. 20
  9. 16
  10. 25
  11. 60
  12. 15
  13. 37
  14. 83
  15. 5
  16. 40
  17. 18
  18. 64
  19. 35
  20. 2
  21. 80
  22. 36
  23. 1
  24. 57
  25. 12
  26. 42
  27. 3
  28. 25
  29. 75
  30. 50
  31. 25
  32. 64
  33. 10
  34. 40
  35. 46
  36. 72
  37. 60
  38. 4
  39. 10
  40. 50

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