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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 649 · 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.Rice at ₹65 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  2. 2.A 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  3. 3.A jug has 40 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?
  4. 4.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?
  5. 5.A 48-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?
  6. 6.A grocer mixes 5 kg of tea at ₹77 per kg with 7 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 4 kg of tea at ₹40 per kg with 2 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 6-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?
  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.Rice at ₹41 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  11. 11.Rice at ₹42 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  12. 12.Rice at ₹56 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  13. 13.A grocer mixes 6 kg of tea at ₹42 per kg with 4 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 10 kg of tea at ₹47 per kg with 3 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 7 kg of tea at ₹76 per kg with 4 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 33-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  17. 17.A 40-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  18. 18.A jug has 25 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?
  19. 19.A 63-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  20. 20.Rice at ₹53 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  21. 21.Rice at ₹70 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  22. 22.Rice at ₹80 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 3 kg of the dearer rice?
  23. 23.A grocer mixes 3 kg of tea at ₹78 per kg with 12 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 14-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?
  25. 25.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.Rice at ₹75 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  27. 27.Rice at ₹23 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  28. 28.Rice at ₹33 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  29. 29.A 50-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?
  30. 30.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 : 10?
  31. 31.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.Rice at ₹21 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  33. 33.A grocer mixes 9 kg of tea at ₹52 per kg with 9 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 56-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 3 kg of tea at ₹35 per kg with 3 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹66 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  37. 37.Rice at ₹32 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  38. 38.A jug has 50 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?
  39. 39.A 56-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  40. 40.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?

Answer key

  1. 15
  2. 6
  3. 20
  4. 70
  5. 32
  6. 56
  7. 55
  8. 4
  9. 36
  10. 48
  11. 7
  12. 20
  13. 44
  14. 53
  15. 68
  16. 6
  17. 16
  18. 50
  19. 36
  20. 15
  21. 35
  22. 4
  23. 106
  24. 2
  25. 50
  26. 48
  27. 12
  28. 12
  29. 10
  30. 9
  31. 75
  32. 5
  33. 71
  34. 8
  35. 70
  36. 7
  37. 5
  38. 25
  39. 21
  40. 16

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