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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 384 · 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 ₹68 per kg with 5 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹63 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  3. 3.A 10-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  4. 4.Rice at ₹56 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  5. 5.A 44-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?
  6. 6.Rice at ₹45 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  7. 7.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?
  8. 8.A grocer mixes 12 kg of tea at ₹50 per kg with 6 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹21 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  10. 10.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 2 kg of the dearer rice?
  11. 11.A 35-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  12. 12.Rice at ₹35 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 2 kg of the dearer rice?
  13. 13.A grocer mixes 9 kg of tea at ₹46 per kg with 2 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.A 96-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  16. 16.A grocer mixes 6 kg of tea at ₹21 per kg with 12 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.Rice at ₹51 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  19. 19.Rice at ₹22 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  20. 20.A grocer mixes 7 kg of tea at ₹100 per kg with 9 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 9 kg of tea at ₹43 per kg with 9 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.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?
  24. 24.A grocer mixes 6 kg of tea at ₹82 per kg with 6 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A grocer mixes 10 kg of tea at ₹28 per kg with 10 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  27. 27.Rice at ₹21 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  28. 28.A jug has 20 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?
  29. 29.Rice at ₹35 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  30. 30.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  31. 31.A 72-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  32. 32.Rice at ₹32 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  33. 33.Rice at ₹61 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  34. 34.Rice at ₹70 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  35. 35.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 1 : 1?
  36. 36.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?
  37. 37.A grocer mixes 12 kg of tea at ₹68 per kg with 4 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.A grocer mixes 12 kg of tea at ₹91 per kg with 12 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 4 kg of tea at ₹101 per kg with 12 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 63
  2. 24
  3. 2
  4. 5
  5. 16
  6. 4
  7. 60
  8. 56
  9. 12
  10. 1
  11. 5
  12. 1
  13. 52
  14. 25
  15. 24
  16. 55
  17. 36
  18. 20
  19. 3
  20. 64
  21. 71
  22. 70
  23. 28
  24. 94
  25. 57
  26. 18
  27. 12
  28. 52
  29. 20
  30. 15
  31. 24
  32. 6
  33. 24
  34. 6
  35. 6
  36. 25
  37. 65
  38. 75
  39. 62
  40. 77

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