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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 572 · 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 ₹70 per kg with 8 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A jug has 20 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?
  3. 3.A grocer mixes 10 kg of tea at ₹41 per kg with 5 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹80 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  5. 5.A grocer mixes 2 kg of tea at ₹97 per kg with 2 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹20 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  7. 7.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?
  8. 8.A grocer mixes 4 kg of tea at ₹37 per kg with 4 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.Rice at ₹60 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  11. 11.A 99-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  12. 12.Rice at ₹79 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  13. 13.Rice at ₹72 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  14. 14.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?
  15. 15.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  16. 16.A 35-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  17. 17.A 30-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  18. 18.Rice at ₹37 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.A grocer mixes 4 kg of tea at ₹104 per kg with 8 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 70-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  21. 21.A grocer mixes 3 kg of tea at ₹70 per kg with 2 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 49-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  23. 23.Rice at ₹29 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.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?
  25. 25.Rice at ₹75 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  26. 26.Rice at ₹55 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  27. 27.A 21-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?
  28. 28.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  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 25-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?
  31. 31.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?
  32. 32.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?
  33. 33.A grocer mixes 8 kg of tea at ₹41 per kg with 2 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 42-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  35. 35.Rice at ₹51 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  36. 36.A 9-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  37. 37.Rice at ₹37 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  38. 38.Rice at ₹22 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  39. 39.A 24-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  40. 40.A grocer mixes 4 kg of tea at ₹35 per kg with 4 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 80
  2. 40
  3. 65
  4. 30
  5. 60
  6. 12
  7. 75
  8. 36
  9. 36
  10. 7
  11. 18
  12. 30
  13. 48
  14. 60
  15. 20
  16. 5
  17. 24
  18. 3
  19. 84
  20. 30
  21. 60
  22. 28
  23. 9
  24. 70
  25. 24
  26. 36
  27. 3
  28. 12
  29. 50
  30. 10
  31. 50
  32. 50
  33. 46
  34. 24
  35. 8
  36. 9
  37. 16
  38. 21
  39. 8
  40. 71

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