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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 98 · 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 80-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  2. 2.Rice at ₹40 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  3. 3.A jug has 20 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?
  4. 4.A grocer mixes 2 kg of tea at ₹47 per kg with 11 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 24-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  6. 6.A grocer mixes 6 kg of tea at ₹47 per kg with 6 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹30 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  8. 8.A 30-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  9. 9.Rice at ₹70 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  10. 10.A 18-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  11. 11.Rice at ₹67 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  12. 12.A 36-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?
  13. 13.A grocer mixes 7 kg of tea at ₹21 per kg with 7 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 20 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?
  15. 15.A jug has 50 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?
  16. 16.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 : 5?
  17. 17.Rice at ₹20 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.A grocer mixes 9 kg of tea at ₹77 per kg with 2 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 22-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?
  20. 20.A 60-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?
  21. 21.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?
  22. 22.A 16-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  23. 23.A grocer mixes 4 kg of tea at ₹68 per kg with 4 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 6 kg of tea at ₹52 per kg with 10 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.Rice at ₹63 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  27. 27.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 : 5?
  28. 28.A grocer mixes 7 kg of tea at ₹62 per kg with 7 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 6 kg of tea at ₹69 per kg with 3 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A jug has 20 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?
  31. 31.Rice at ₹37 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  32. 32.Rice at ₹47 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  33. 33.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?
  34. 34.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?
  35. 35.Rice at ₹30 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  36. 36.Rice at ₹77 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  37. 37.Rice at ₹65 per kg is mixed with rice at ₹129 per kg to make a mix worth ₹105 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.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?
  39. 39.A 36-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  40. 40.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 40
  2. 24
  3. 40
  4. 69
  5. 6
  6. 49
  7. 36
  8. 20
  9. 12
  10. 12
  11. 8
  12. 12
  13. 47
  14. 55
  15. 50
  16. 12
  17. 10
  18. 71
  19. 2
  20. 20
  21. 50
  22. 8
  23. 47
  24. 72
  25. 28
  26. 15
  27. 7
  28. 56
  29. 66
  30. 60
  31. 25
  32. 4
  33. 40
  34. 2
  35. 4
  36. 16
  37. 9
  38. 70
  39. 36
  40. 80

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