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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 951 · 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 5 kg of tea at ₹58 per kg with 12 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 8 kg of tea at ₹106 per kg with 8 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.A grocer mixes 3 kg of tea at ₹48 per kg with 6 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 30-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?
  6. 6.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  7. 7.A grocer mixes 3 kg of tea at ₹107 per kg with 3 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.Rice at ₹76 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 21 kg of the dearer rice?
  10. 10.A grocer mixes 4 kg of tea at ₹58 per kg with 10 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹31 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  12. 12.Rice at ₹74 per kg is mixed with rice at ₹86 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?
  13. 13.A grocer mixes 10 kg of tea at ₹117 per kg with 2 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.A 22-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  16. 16.A 48-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?
  17. 17.A 81-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  18. 18.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?
  19. 19.A grocer mixes 8 kg of tea at ₹104 per kg with 9 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹45 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  21. 21.A grocer mixes 6 kg of tea at ₹53 per kg with 3 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹67 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  23. 23.A 16-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  24. 24.Rice at ₹20 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  25. 25.A grocer mixes 3 kg of tea at ₹65 per kg with 6 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  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 ₹69 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  29. 29.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?
  30. 30.A grocer mixes 4 kg of tea at ₹47 per kg with 2 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹36 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  32. 32.A grocer mixes 4 kg of tea at ₹55 per kg with 2 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  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 jug has 10 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?
  35. 35.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?
  36. 36.A grocer mixes 5 kg of tea at ₹111 per kg with 10 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 7 kg of tea at ₹89 per kg with 7 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 64-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?
  39. 39.Rice at ₹26 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  40. 40.A 88-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?

Answer key

  1. 82
  2. 85
  3. 60
  4. 86
  5. 12
  6. 6
  7. 87
  8. 50
  9. 14
  10. 53
  11. 8
  12. 9
  13. 104
  14. 60
  15. 8
  16. 24
  17. 36
  18. 50
  19. 86
  20. 4
  21. 75
  22. 5
  23. 4
  24. 8
  25. 43
  26. 36
  27. 60
  28. 7
  29. 50
  30. 38
  31. 2
  32. 44
  33. 25
  34. 55
  35. 70
  36. 65
  37. 58
  38. 8
  39. 40
  40. 32

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