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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 494 · 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 ₹119 per kg with 10 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 2 kg of tea at ₹51 per kg with 7 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.A 15-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  5. 5.Rice at ₹38 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  6. 6.A 33-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?
  7. 7.A grocer mixes 3 kg of tea at ₹42 per kg with 12 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 2 kg of tea at ₹85 per kg with 10 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 6 kg of tea at ₹97 per kg with 6 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 40-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  11. 11.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?
  12. 12.Rice at ₹64 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  13. 13.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?
  14. 14.Rice at ₹56 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 9 kg of the dearer rice?
  15. 15.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?
  16. 16.A jug has 10 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?
  17. 17.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  18. 18.Rice at ₹53 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  19. 19.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?
  20. 20.A grocer mixes 5 kg of tea at ₹106 per kg with 10 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹28 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  22. 22.A 30-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?
  23. 23.A 27-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  24. 24.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?
  25. 25.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?
  26. 26.A grocer mixes 10 kg of tea at ₹80 per kg with 10 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹50 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  28. 28.A grocer mixes 2 kg of tea at ₹100 per kg with 3 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹51 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  30. 30.Rice at ₹37 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  31. 31.A 80-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  32. 32.A grocer mixes 3 kg of tea at ₹66 per kg with 6 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 8 kg of tea at ₹104 per kg with 8 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 12-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  35. 35.A grocer mixes 6 kg of tea at ₹38 per kg with 3 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 4 kg of tea at ₹66 per kg with 12 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹23 per kg is mixed with rice at ₹26 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  38. 38.A grocer mixes 8 kg of tea at ₹118 per kg with 4 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 40 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?
  40. 40.A 14-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?

Answer key

  1. 73
  2. 30
  3. 36
  4. 5
  5. 2
  6. 3
  7. 50
  8. 75
  9. 72
  10. 10
  11. 28
  12. 1
  13. 60
  14. 6
  15. 50
  16. 70
  17. 16
  18. 6
  19. 40
  20. 114
  21. 8
  22. 10
  23. 27
  24. 50
  25. 50
  26. 76
  27. 24
  28. 94
  29. 16
  30. 2
  31. 40
  32. 102
  33. 94
  34. 12
  35. 53
  36. 96
  37. 4
  38. 100
  39. 28
  40. 2

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