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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 722 · 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 9 kg of tea at ₹98 per kg with 2 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 11 kg of tea at ₹34 per kg with 11 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹27 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  4. 4.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A 20-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  6. 6.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?
  7. 7.A grocer mixes 3 kg of tea at ₹29 per kg with 11 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 2 kg of tea at ₹49 per kg with 12 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 35-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  10. 10.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?
  11. 11.A grocer mixes 3 kg of tea at ₹105 per kg with 9 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 9 kg of tea at ₹30 per kg with 10 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.Rice at ₹79 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  15. 15.A grocer mixes 4 kg of tea at ₹56 per kg with 4 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 4 kg of tea at ₹37 per kg with 12 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  18. 18.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?
  19. 19.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 : 6?
  20. 20.A jug has 20 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?
  21. 21.Rice at ₹61 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  22. 22.A grocer mixes 12 kg of tea at ₹63 per kg with 6 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 4 kg of tea at ₹49 per kg with 10 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.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?
  26. 26.Rice at ₹34 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  28. 28.A grocer mixes 2 kg of tea at ₹32 per kg with 8 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A jug has 10 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?
  30. 30.A grocer mixes 4 kg of tea at ₹104 per kg with 2 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 11 kg of tea at ₹84 per kg with 2 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 9 kg of tea at ₹27 per kg with 9 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 4 kg of tea at ₹25 per kg with 4 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹55 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  35. 35.Rice at ₹35 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  36. 36.A grocer mixes 11 kg of tea at ₹61 per kg with 8 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 7 kg of tea at ₹59 per kg with 7 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.A 33-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?
  40. 40.A 50-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?

Answer key

  1. 100
  2. 52
  3. 6
  4. 50
  5. 4
  6. 52
  7. 95
  8. 31
  9. 10
  10. 25
  11. 63
  12. 40
  13. 75
  14. 35
  15. 68
  16. 70
  17. 10
  18. 50
  19. 12
  20. 28
  21. 16
  22. 65
  23. 69
  24. 52
  25. 50
  26. 8
  27. 6
  28. 40
  29. 70
  30. 94
  31. 80
  32. 70
  33. 50
  34. 3
  35. 2
  36. 77
  37. 87
  38. 50
  39. 12
  40. 20

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