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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 558 · 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 ₹64 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  2. 2.Rice at ₹26 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 21 kg of the dearer rice?
  3. 3.A 33-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?
  4. 4.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  5. 5.Rice at ₹59 per kg is mixed with rice at ₹94 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?
  6. 6.Rice at ₹42 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  7. 7.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?
  8. 8.Rice at ₹48 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  9. 9.A grocer mixes 10 kg of tea at ₹62 per kg with 5 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 5 kg of tea at ₹61 per kg with 10 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 11 kg of tea at ₹85 per kg with 5 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.Rice at ₹63 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  14. 14.Rice at ₹42 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  15. 15.A grocer mixes 9 kg of tea at ₹107 per kg with 9 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A jug has 10 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?
  17. 17.Rice at ₹27 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 9 kg of the dearer rice?
  18. 18.A grocer mixes 6 kg of tea at ₹38 per kg with 6 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.A grocer mixes 2 kg of tea at ₹93 per kg with 10 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 8 kg of tea at ₹111 per kg with 6 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹39 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  23. 23.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?
  24. 24.A grocer mixes 5 kg of tea at ₹24 per kg with 10 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 80-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  26. 26.A grocer mixes 2 kg of tea at ₹42 per kg with 7 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹35 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  28. 28.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?
  29. 29.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?
  30. 30.A grocer mixes 3 kg of tea at ₹30 per kg with 12 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 12 kg of tea at ₹24 per kg with 2 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 5 kg of tea at ₹32 per kg with 12 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹77 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹117 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  34. 34.Rice at ₹51 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  35. 35.A grocer mixes 11 kg of tea at ₹82 per kg with 9 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.A 14-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  38. 38.A grocer mixes 4 kg of tea at ₹55 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 42-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?
  40. 40.Rice at ₹42 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?

Answer key

  1. 9
  2. 28
  3. 3
  4. 8
  5. 20
  6. 6
  7. 70
  8. 10
  9. 80
  10. 59
  11. 65
  12. 80
  13. 6
  14. 5
  15. 86
  16. 68
  17. 3
  18. 76
  19. 75
  20. 68
  21. 81
  22. 15
  23. 28
  24. 52
  25. 8
  26. 84
  27. 35
  28. 50
  29. 25
  30. 54
  31. 25
  32. 44
  33. 7
  34. 12
  35. 55
  36. 75
  37. 6
  38. 40
  39. 6
  40. 20

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