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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 425 · 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 42-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  2. 2.Rice at ₹52 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  3. 3.A grocer mixes 4 kg of tea at ₹48 per kg with 4 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹23 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  5. 5.A 10-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?
  6. 6.A grocer mixes 12 kg of tea at ₹28 per kg with 9 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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 5 : 7?
  8. 8.A grocer mixes 6 kg of tea at ₹63 per kg with 8 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 9 kg of tea at ₹23 per kg with 5 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹54 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  11. 11.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 6 kg of the dearer rice?
  12. 12.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  13. 13.Rice at ₹54 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  14. 14.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?
  15. 15.Rice at ₹78 per kg is mixed with rice at ₹96 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?
  16. 16.A 56-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  17. 17.A 81-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  18. 18.A 28-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?
  19. 19.A jug has 10 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?
  20. 20.Rice at ₹41 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  21. 21.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?
  22. 22.Rice at ₹70 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  23. 23.A grocer mixes 3 kg of tea at ₹42 per kg with 12 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹52 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  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 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?
  27. 27.A 48-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  28. 28.A grocer mixes 10 kg of tea at ₹101 per kg with 5 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹47 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  30. 30.A grocer mixes 2 kg of tea at ₹40 per kg with 6 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 4 kg of tea at ₹85 per kg with 2 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 11 kg of tea at ₹100 per kg with 11 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 10 kg of tea at ₹36 per kg with 6 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 24-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  35. 35.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?
  36. 36.A 21-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  37. 37.Rice at ₹33 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  38. 38.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.A grocer mixes 3 kg of tea at ₹113 per kg with 6 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹28 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 7
  2. 16
  3. 47
  4. 3
  5. 4
  6. 37
  7. 15
  8. 79
  9. 48
  10. 30
  11. 12
  12. 30
  13. 5
  14. 28
  15. 2
  16. 21
  17. 27
  18. 4
  19. 68
  20. 16
  21. 28
  22. 9
  23. 90
  24. 12
  25. 50
  26. 60
  27. 6
  28. 100
  29. 24
  30. 73
  31. 86
  32. 62
  33. 30
  34. 6
  35. 75
  36. 3
  37. 7
  38. 25
  39. 75
  40. 16

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