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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 512 · 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 ₹52 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  2. 2.Rice at ₹75 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  3. 3.A grocer mixes 5 kg of tea at ₹101 per kg with 10 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.A 56-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  6. 6.Rice at ₹80 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  7. 7.Rice at ₹75 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  8. 8.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?
  9. 9.A 26-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  10. 10.A grocer mixes 5 kg of tea at ₹73 per kg with 5 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.A grocer mixes 2 kg of tea at ₹96 per kg with 8 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 5 kg of tea at ₹115 per kg with 5 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹54 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  15. 15.A 63-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?
  16. 16.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?
  17. 17.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  18. 18.Rice at ₹26 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  19. 19.A 42-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?
  20. 20.Rice at ₹28 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  21. 21.Rice at ₹36 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  22. 22.A grocer mixes 8 kg of tea at ₹82 per kg with 8 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.A 32-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  25. 25.Rice at ₹40 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  26. 26.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.Rice at ₹65 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  28. 28.A grocer mixes 10 kg of tea at ₹69 per kg with 6 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹64 per kg is mixed with rice at ₹152 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  30. 30.A grocer mixes 9 kg of tea at ₹65 per kg with 9 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 3 kg of tea at ₹117 per kg with 11 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 4 kg of tea at ₹34 per kg with 2 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.A 30-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  35. 35.Rice at ₹75 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  36. 36.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?
  37. 37.Rice at ₹36 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.A grocer mixes 2 kg of tea at ₹23 per kg with 2 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 40 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?
  40. 40.A 54-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?

Answer key

  1. 48
  2. 15
  3. 71
  4. 70
  5. 7
  6. 3
  7. 1
  8. 40
  9. 6
  10. 67
  11. 75
  12. 84
  13. 113
  14. 5
  15. 21
  16. 28
  17. 4
  18. 24
  19. 12
  20. 6
  21. 5
  22. 61
  23. 70
  24. 4
  25. 30
  26. 50
  27. 14
  28. 57
  29. 42
  30. 83
  31. 62
  32. 44
  33. 36
  34. 10
  35. 4
  36. 50
  37. 20
  38. 30
  39. 52
  40. 12

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