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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 10 · 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 45-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  2. 2.Rice at ₹31 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  3. 3.Rice at ₹73 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹113 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  4. 4.Rice at ₹21 per kg is mixed with rice at ₹25 per kg to make a mix worth ₹22 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  5. 5.A grocer mixes 12 kg of tea at ₹47 per kg with 4 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.A grocer mixes 2 kg of tea at ₹113 per kg with 2 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.A 90-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?
  11. 11.A 15-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  12. 12.A grocer mixes 6 kg of tea at ₹78 per kg with 11 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 4 kg of tea at ₹63 per kg with 3 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹33 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  15. 15.A grocer mixes 6 kg of tea at ₹38 per kg with 2 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹37 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  17. 17.A grocer mixes 3 kg of tea at ₹43 per kg with 12 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 40-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  19. 19.Rice at ₹77 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  20. 20.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 : 4?
  21. 21.Rice at ₹49 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  22. 22.A grocer mixes 3 kg of tea at ₹82 per kg with 3 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 14-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?
  24. 24.Rice at ₹66 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  25. 25.A grocer mixes 10 kg of tea at ₹24 per kg with 2 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 49-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?
  27. 27.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 : 4?
  28. 28.Rice at ₹31 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  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.Rice at ₹71 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  31. 31.A jug has 10 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?
  32. 32.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?
  33. 33.Rice at ₹44 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  34. 34.A 16-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  35. 35.A grocer mixes 4 kg of tea at ₹98 per kg with 4 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 80-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  37. 37.Rice at ₹40 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  38. 38.A grocer mixes 4 kg of tea at ₹81 per kg with 2 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 24-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?
  40. 40.A 10-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?

Answer key

  1. 5
  2. 14
  3. 1
  4. 9
  5. 63
  6. 40
  7. 100
  8. 75
  9. 36
  10. 18
  11. 6
  12. 100
  13. 69
  14. 8
  15. 50
  16. 15
  17. 31
  18. 4
  19. 14
  20. 18
  21. 8
  22. 101
  23. 4
  24. 6
  25. 35
  26. 7
  27. 2
  28. 8
  29. 70
  30. 16
  31. 55
  32. 60
  33. 6
  34. 8
  35. 71
  36. 20
  37. 16
  38. 89
  39. 12
  40. 2

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