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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 248 · 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 grocer mixes 2 kg of tea at ₹62 per kg with 12 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹28 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.A grocer mixes 2 kg of tea at ₹31 per kg with 3 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹54 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  5. 5.Rice at ₹54 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  6. 6.A grocer mixes 2 kg of tea at ₹60 per kg with 3 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹44 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  8. 8.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?
  9. 9.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.A grocer mixes 3 kg of tea at ₹39 per kg with 12 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹48 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  12. 12.Rice at ₹20 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  13. 13.Rice at ₹31 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  14. 14.Rice at ₹38 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 7 kg of the dearer rice?
  15. 15.A jug has 20 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.Rice at ₹30 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  17. 17.A grocer mixes 7 kg of tea at ₹81 per kg with 2 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 2 kg of tea at ₹95 per kg with 3 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹34 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  20. 20.A grocer mixes 2 kg of tea at ₹120 per kg with 4 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.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?
  23. 23.A grocer mixes 4 kg of tea at ₹65 per kg with 4 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹80 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  25. 25.A 72-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?
  26. 26.Rice at ₹66 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  27. 27.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?
  28. 28.A 45-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?
  29. 29.A 16-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  30. 30.Rice at ₹44 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  31. 31.A grocer mixes 12 kg of tea at ₹38 per kg with 2 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 4 kg of tea at ₹111 per kg with 8 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 28-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  34. 34.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?
  35. 35.A grocer mixes 8 kg of tea at ₹45 per kg with 12 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.A grocer mixes 11 kg of tea at ₹85 per kg with 4 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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 8 kg of the dearer rice?
  39. 39.Rice at ₹22 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 56
  2. 8
  3. 67
  4. 20
  5. 35
  6. 87
  7. 12
  8. 50
  9. 50
  10. 83
  11. 8
  12. 12
  13. 4
  14. 21
  15. 52
  16. 24
  17. 71
  18. 62
  19. 15
  20. 90
  21. 50
  22. 70
  23. 86
  24. 4
  25. 32
  26. 3
  27. 40
  28. 9
  29. 2
  30. 5
  31. 47
  32. 93
  33. 4
  34. 60
  35. 48
  36. 40
  37. 81
  38. 2
  39. 10
  40. 55

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