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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 403 · 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 50-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  2. 2.A grocer mixes 7 kg of tea at ₹81 per kg with 7 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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 2 : 5?
  4. 4.A 45-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  5. 5.Rice at ₹69 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  6. 6.A grocer mixes 10 kg of tea at ₹100 per kg with 4 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.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?
  9. 9.A jug has 10 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?
  10. 10.Rice at ₹38 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  11. 11.A 40-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?
  12. 12.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?
  13. 13.Rice at ₹65 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  14. 14.A grocer mixes 10 kg of tea at ₹84 per kg with 5 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 3 kg of tea at ₹70 per kg with 4 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 3 kg of tea at ₹104 per kg with 6 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.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?
  19. 19.A grocer mixes 9 kg of tea at ₹105 per kg with 12 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹25 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  21. 21.A 70-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?
  22. 22.A grocer mixes 4 kg of tea at ₹63 per kg with 2 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹27 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  24. 24.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?
  25. 25.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?
  26. 26.Rice at ₹69 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  27. 27.A grocer mixes 12 kg of tea at ₹105 per kg with 12 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 12 kg of tea at ₹27 per kg with 4 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 6 kg of tea at ₹90 per kg with 8 kg of tea at ₹69 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. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.Rice at ₹51 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  32. 32.A grocer mixes 2 kg of tea at ₹42 per kg with 3 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹52 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  34. 34.A grocer mixes 2 kg of tea at ₹22 per kg with 2 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹56 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  36. 36.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  37. 37.Rice at ₹26 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.A 49-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?
  39. 39.A 42-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?
  40. 40.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 10
  2. 56
  3. 24
  4. 5
  5. 42
  6. 96
  7. 50
  8. 60
  9. 80
  10. 24
  11. 5
  12. 28
  13. 15
  14. 93
  15. 78
  16. 54
  17. 60
  18. 50
  19. 101
  20. 21
  21. 10
  22. 55
  23. 12
  24. 60
  25. 50
  26. 14
  27. 83
  28. 34
  29. 78
  30. 70
  31. 9
  32. 39
  33. 20
  34. 44
  35. 3
  36. 3
  37. 12
  38. 21
  39. 24
  40. 50

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