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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 133 · 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.

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  1. 1.A grocer mixes 2 kg of tea at ₹36 per kg with 4 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  3. 3.Rice at ₹62 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  4. 4.A 18-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?
  5. 5.A grocer mixes 4 kg of tea at ₹57 per kg with 12 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.Rice at ₹33 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  8. 8.Rice at ₹39 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  9. 9.A 14-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?
  10. 10.A 60-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  11. 11.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  12. 12.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.A grocer mixes 6 kg of tea at ₹54 per kg with 6 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 3 kg of tea at ₹93 per kg with 11 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A jug has 40 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?
  18. 18.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?
  19. 19.Rice at ₹27 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  20. 20.A 70-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?
  21. 21.A 56-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?
  22. 22.Rice at ₹65 per kg is mixed with rice at ₹121 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  23. 23.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 2 : 7?
  24. 24.A grocer mixes 8 kg of tea at ₹75 per kg with 8 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  26. 26.Rice at ₹31 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  27. 27.Rice at ₹74 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  28. 28.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.Rice at ₹57 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  30. 30.Rice at ₹20 per kg is mixed with rice at ₹62 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?
  31. 31.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?
  32. 32.A grocer mixes 9 kg of tea at ₹97 per kg with 6 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 12-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  34. 34.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  35. 35.A 18-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?
  36. 36.A grocer mixes 4 kg of tea at ₹79 per kg with 11 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 15-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  38. 38.Rice at ₹34 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  39. 39.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?
  40. 40.Rice at ₹47 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 38
  2. 75
  3. 28
  4. 6
  5. 54
  6. 70
  7. 6
  8. 6
  9. 2
  10. 10
  11. 20
  12. 50
  13. 48
  14. 49
  15. 7
  16. 60
  17. 52
  18. 50
  19. 42
  20. 10
  21. 32
  22. 4
  23. 10
  24. 96
  25. 6
  26. 4
  27. 24
  28. 50
  29. 8
  30. 10
  31. 55
  32. 77
  33. 16
  34. 27
  35. 6
  36. 101
  37. 9
  38. 6
  39. 60
  40. 16

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