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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 192 · 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 ₹43 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  2. 2.A grocer mixes 8 kg of tea at ₹28 per kg with 4 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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 : 3?
  4. 4.Rice at ₹80 per kg is mixed with rice at ₹168 per kg to make a mix worth ₹120 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  5. 5.A 63-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  6. 6.A 64-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?
  7. 7.A grocer mixes 2 kg of tea at ₹21 per kg with 2 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹39 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  9. 9.Rice at ₹34 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  10. 10.Rice at ₹30 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  11. 11.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?
  12. 12.Rice at ₹59 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  13. 13.A grocer mixes 6 kg of tea at ₹80 per kg with 7 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.A grocer mixes 4 kg of tea at ₹62 per kg with 2 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹51 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  17. 17.A 50-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  18. 18.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?
  19. 19.A 50-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  20. 20.Rice at ₹24 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  21. 21.Rice at ₹77 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  22. 22.A grocer mixes 2 kg of tea at ₹106 per kg with 6 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.A grocer mixes 4 kg of tea at ₹56 per kg with 5 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹20 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  26. 26.Rice at ₹76 per kg is mixed with rice at ₹132 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  27. 27.A jug has 40 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A grocer mixes 3 kg of tea at ₹23 per kg with 8 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 8 kg of tea at ₹70 per kg with 10 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 2 kg of tea at ₹98 per kg with 2 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.A jug has 40 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 6 kg of tea at ₹120 per kg with 12 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹32 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 30 kg of the dearer rice?
  36. 36.Rice at ₹32 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  37. 37.A grocer mixes 7 kg of tea at ₹82 per kg with 4 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 4 kg of tea at ₹77 per kg with 8 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹62 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  40. 40.A grocer mixes 6 kg of tea at ₹117 per kg with 5 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 40
  2. 44
  3. 16
  4. 18
  5. 28
  6. 8
  7. 65
  8. 24
  9. 21
  10. 35
  11. 55
  12. 5
  13. 101
  14. 75
  15. 49
  16. 35
  17. 40
  18. 64
  19. 20
  20. 8
  21. 12
  22. 64
  23. 60
  24. 51
  25. 4
  26. 18
  27. 60
  28. 50
  29. 39
  30. 90
  31. 82
  32. 52
  33. 25
  34. 74
  35. 36
  36. 3
  37. 90
  38. 39
  39. 16
  40. 92

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