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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 421 · 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 9 kg of tea at ₹26 per kg with 3 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹22 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  3. 3.A grocer mixes 5 kg of tea at ₹59 per kg with 5 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 45-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  5. 5.A 36-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?
  6. 6.Rice at ₹53 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  7. 7.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.Rice at ₹72 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  9. 9.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  10. 10.Rice at ₹64 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  11. 11.Rice at ₹70 per kg is mixed with rice at ₹126 per kg to make a mix worth ₹105 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  12. 12.A grocer mixes 3 kg of tea at ₹83 per kg with 2 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 2 kg of tea at ₹42 per kg with 2 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 25 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?
  15. 15.Rice at ₹42 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  16. 16.A grocer mixes 5 kg of tea at ₹62 per kg with 2 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.A jug has 20 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?
  19. 19.Rice at ₹20 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  20. 20.A grocer mixes 6 kg of tea at ₹76 per kg with 8 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 30-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  22. 22.A 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  23. 23.A grocer mixes 8 kg of tea at ₹76 per kg with 2 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹72 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  25. 25.A 27-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  26. 26.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?
  27. 27.A grocer mixes 6 kg of tea at ₹71 per kg with 6 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹66 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  29. 29.A 110-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  30. 30.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 4 : 7?
  31. 31.A 45-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?
  32. 32.A grocer mixes 6 kg of tea at ₹119 per kg with 6 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹22 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  34. 34.A 55-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  35. 35.Rice at ₹44 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  36. 36.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?
  37. 37.A grocer mixes 7 kg of tea at ₹91 per kg with 9 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 2 kg of tea at ₹70 per kg with 2 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹25 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  40. 40.A grocer mixes 3 kg of tea at ₹32 per kg with 2 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 27
  2. 8
  3. 43
  4. 10
  5. 12
  6. 10
  7. 25
  8. 4
  9. 4
  10. 32
  11. 21
  12. 93
  13. 60
  14. 50
  15. 8
  16. 70
  17. 55
  18. 70
  19. 30
  20. 56
  21. 18
  22. 21
  23. 78
  24. 16
  25. 9
  26. 40
  27. 79
  28. 5
  29. 30
  30. 8
  31. 15
  32. 80
  33. 15
  34. 10
  35. 2
  36. 50
  37. 82
  38. 50
  39. 6
  40. 56

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