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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 448 · 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 4 kg of tea at ₹59 per kg with 2 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.A grocer mixes 3 kg of tea at ₹91 per kg with 3 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.A jug has 40 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?
  6. 6.A grocer mixes 4 kg of tea at ₹93 per kg with 8 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  8. 8.A grocer mixes 3 kg of tea at ₹93 per kg with 2 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹69 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  10. 10.A grocer mixes 2 kg of tea at ₹118 per kg with 5 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 2 kg of tea at ₹80 per kg with 3 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  13. 13.Rice at ₹39 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 4 kg of the dearer rice?
  14. 14.A jug has 40 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?
  15. 15.A grocer mixes 4 kg of tea at ₹84 per kg with 7 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 84-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  17. 17.Rice at ₹33 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  18. 18.A grocer mixes 12 kg of tea at ₹115 per kg with 12 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.A grocer mixes 7 kg of tea at ₹98 per kg with 6 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹37 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  22. 22.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?
  23. 23.A grocer mixes 4 kg of tea at ₹92 per kg with 4 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹80 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  25. 25.A 52-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  26. 26.Rice at ₹45 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.Rice at ₹31 per kg is mixed with rice at ₹51 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?
  28. 28.Rice at ₹20 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 25 kg of the dearer rice?
  29. 29.A grocer mixes 7 kg of tea at ₹20 per kg with 11 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A jug has 40 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?
  32. 32.Rice at ₹57 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  33. 33.A grocer mixes 10 kg of tea at ₹105 per kg with 2 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹52 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A grocer mixes 3 kg of tea at ₹69 per kg with 12 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.Rice at ₹39 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  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.Rice at ₹30 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?

Answer key

  1. 48
  2. 60
  3. 101
  4. 70
  5. 20
  6. 61
  7. 3
  8. 95
  9. 14
  10. 73
  11. 47
  12. 9
  13. 2
  14. 28
  15. 91
  16. 7
  17. 5
  18. 68
  19. 50
  20. 92
  21. 3
  22. 50
  23. 73
  24. 6
  25. 16
  26. 1
  27. 4
  28. 30
  29. 42
  30. 36
  31. 60
  32. 12
  33. 106
  34. 12
  35. 60
  36. 109
  37. 70
  38. 5
  39. 75
  40. 35

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