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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 62 · 40 questions
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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 ₹63 per kg with 7 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 9 kg of tea at ₹88 per kg with 2 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 12 kg of tea at ₹108 per kg with 6 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹25 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  5. 5.A 42-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  6. 6.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  7. 7.Rice at ₹39 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  8. 8.Rice at ₹75 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  9. 9.A grocer mixes 2 kg of tea at ₹97 per kg with 10 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 2 kg of tea at ₹114 per kg with 6 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A jug has 10 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?
  12. 12.A grocer mixes 8 kg of tea at ₹76 per kg with 4 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A jug has 10 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?
  14. 14.Rice at ₹74 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  15. 15.Rice at ₹70 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  16. 16.A grocer mixes 4 kg of tea at ₹48 per kg with 12 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹54 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.Rice at ₹71 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  19. 19.A grocer mixes 9 kg of tea at ₹62 per kg with 4 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.A grocer mixes 9 kg of tea at ₹120 per kg with 3 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹54 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  23. 23.Rice at ₹72 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  24. 24.A grocer mixes 6 kg of tea at ₹63 per kg with 6 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 24-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?
  26. 26.Rice at ₹46 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  27. 27.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.Rice at ₹60 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  29. 29.A grocer mixes 10 kg of tea at ₹74 per kg with 10 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.Rice at ₹74 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  32. 32.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?
  33. 33.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?
  34. 34.A grocer mixes 2 kg of tea at ₹44 per kg with 4 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 72-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  36. 36.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A jug has 50 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?
  38. 38.A grocer mixes 2 kg of tea at ₹43 per kg with 2 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.A 56-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?

Answer key

  1. 91
  2. 86
  3. 100
  4. 6
  5. 24
  6. 12
  7. 25
  8. 12
  9. 92
  10. 51
  11. 40
  12. 66
  13. 60
  14. 3
  15. 1
  16. 57
  17. 9
  18. 2
  19. 54
  20. 50
  21. 113
  22. 7
  23. 32
  24. 54
  25. 8
  26. 4
  27. 60
  28. 15
  29. 71
  30. 50
  31. 35
  32. 55
  33. 50
  34. 48
  35. 36
  36. 64
  37. 50
  38. 54
  39. 75
  40. 8

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