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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 567 · 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 6 kg of tea at ₹110 per kg with 2 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 24-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  3. 3.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?
  4. 4.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  5. 5.A grocer mixes 6 kg of tea at ₹62 per kg with 6 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.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 : 9?
  8. 8.Rice at ₹58 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  9. 9.A 36-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  10. 10.Rice at ₹29 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  11. 11.A 72-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  12. 12.A 18-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?
  13. 13.A 60-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  14. 14.A grocer mixes 4 kg of tea at ₹43 per kg with 6 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 30-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  16. 16.Rice at ₹30 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  17. 17.Rice at ₹33 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.A 28-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?
  19. 19.Rice at ₹56 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  20. 20.A grocer mixes 4 kg of tea at ₹40 per kg with 12 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹80 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  22. 22.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?
  23. 23.Rice at ₹30 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  24. 24.Rice at ₹68 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  25. 25.Rice at ₹60 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  26. 26.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?
  27. 27.Rice at ₹35 per kg is mixed with rice at ₹70 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?
  28. 28.A grocer mixes 10 kg of tea at ₹96 per kg with 10 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.Rice at ₹78 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  31. 31.A grocer mixes 5 kg of tea at ₹24 per kg with 2 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 4 kg of tea at ₹99 per kg with 2 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 10 kg of tea at ₹82 per kg with 5 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹29 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  35. 35.Rice at ₹24 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  36. 36.Rice at ₹25 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  37. 37.A 21-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  38. 38.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?
  39. 39.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?
  40. 40.A jug has 40 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?

Answer key

  1. 104
  2. 16
  3. 75
  4. 6
  5. 80
  6. 50
  7. 21
  8. 14
  9. 8
  10. 2
  11. 16
  12. 18
  13. 10
  14. 52
  15. 20
  16. 24
  17. 5
  18. 7
  19. 6
  20. 31
  21. 24
  22. 50
  23. 12
  24. 8
  25. 28
  26. 40
  27. 2
  28. 91
  29. 50
  30. 5
  31. 40
  32. 105
  33. 62
  34. 4
  35. 30
  36. 4
  37. 3
  38. 5
  39. 40
  40. 40

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