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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 294 · 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 55-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  2. 2.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  3. 3.A grocer mixes 6 kg of tea at ₹70 per kg with 10 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 90-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  5. 5.A grocer mixes 2 kg of tea at ₹62 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 40 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?
  7. 7.Rice at ₹28 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  8. 8.Rice at ₹45 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.Rice at ₹30 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  10. 10.A grocer mixes 2 kg of tea at ₹25 per kg with 2 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.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?
  13. 13.A 28-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  14. 14.Rice at ₹29 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  15. 15.Rice at ₹33 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  16. 16.A 39-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  17. 17.Rice at ₹46 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  18. 18.Rice at ₹66 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  19. 19.Rice at ₹21 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.A grocer mixes 4 kg of tea at ₹44 per kg with 4 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.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?
  23. 23.A grocer mixes 7 kg of tea at ₹39 per kg with 7 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹67 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  25. 25.A 21-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  26. 26.A 108-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  27. 27.A grocer mixes 2 kg of tea at ₹96 per kg with 3 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 130-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  29. 29.Rice at ₹65 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  30. 30.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?
  31. 31.A grocer mixes 4 kg of tea at ₹32 per kg with 3 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹71 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  33. 33.Rice at ₹50 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  34. 34.Rice at ₹52 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  35. 35.Rice at ₹25 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  36. 36.Rice at ₹69 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 4 kg of the dearer rice?
  37. 37.Rice at ₹25 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  38. 38.A grocer mixes 6 kg of tea at ₹22 per kg with 2 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 27-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  40. 40.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 : 7?

Answer key

  1. 5
  2. 36
  3. 65
  4. 40
  5. 46
  6. 60
  7. 15
  8. 3
  9. 1
  10. 60
  11. 40
  12. 70
  13. 8
  14. 6
  15. 6
  16. 6
  17. 15
  18. 14
  19. 6
  20. 79
  21. 25
  22. 75
  23. 75
  24. 24
  25. 7
  26. 9
  27. 51
  28. 20
  29. 20
  30. 36
  31. 53
  32. 10
  33. 5
  34. 35
  35. 8
  36. 12
  37. 1
  38. 24
  39. 12
  40. 21

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