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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 228 · 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 5 kg of tea at ₹74 per kg with 3 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹73 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  3. 3.A grocer mixes 4 kg of tea at ₹53 per kg with 4 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.Rice at ₹62 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  6. 6.A grocer mixes 10 kg of tea at ₹93 per kg with 6 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 9 kg of tea at ₹96 per kg with 9 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.Rice at ₹39 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  10. 10.A grocer mixes 3 kg of tea at ₹92 per kg with 6 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 12 kg of tea at ₹36 per kg with 3 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  13. 13.A grocer mixes 3 kg of tea at ₹101 per kg with 4 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 2 kg of tea at ₹105 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  16. 16.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  17. 17.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 : 2?
  18. 18.Rice at ₹48 per kg is mixed with rice at ₹66 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?
  19. 19.A 36-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  20. 20.A jug has 10 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?
  21. 21.Rice at ₹51 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  22. 22.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  23. 23.Rice at ₹69 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  24. 24.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 : 6?
  25. 25.Rice at ₹74 per kg is mixed with rice at ₹151 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  26. 26.A grocer mixes 2 kg of tea at ₹52 per kg with 12 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 4 kg of tea at ₹83 per kg with 4 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.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?
  29. 29.Rice at ₹50 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  30. 30.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?
  31. 31.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?
  32. 32.A grocer mixes 9 kg of tea at ₹47 per kg with 6 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 5 kg of tea at ₹104 per kg with 12 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  35. 35.A grocer mixes 9 kg of tea at ₹34 per kg with 12 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 36-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  37. 37.Rice at ₹72 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  38. 38.A 18-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  39. 39.A grocer mixes 9 kg of tea at ₹78 per kg with 9 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 12 kg of tea at ₹86 per kg with 9 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 68
  2. 30
  3. 42
  4. 40
  5. 5
  6. 72
  7. 67
  8. 52
  9. 1
  10. 104
  11. 52
  12. 10
  13. 97
  14. 87
  15. 10
  16. 6
  17. 3
  18. 6
  19. 8
  20. 60
  21. 2
  22. 6
  23. 28
  24. 40
  25. 18
  26. 28
  27. 88
  28. 64
  29. 4
  30. 28
  31. 50
  32. 41
  33. 56
  34. 4
  35. 46
  36. 12
  37. 20
  38. 6
  39. 53
  40. 68

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