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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 387 · 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 jug has 40 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?
  2. 2.Rice at ₹27 per kg is mixed with rice at ₹83 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?
  3. 3.A 40-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  4. 4.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?
  5. 5.Rice at ₹22 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  6. 6.A grocer mixes 8 kg of tea at ₹62 per kg with 4 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹67 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  8. 8.A grocer mixes 11 kg of tea at ₹100 per kg with 8 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 24-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  10. 10.Rice at ₹74 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  11. 11.A 66-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  12. 12.A grocer mixes 4 kg of tea at ₹74 per kg with 3 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  14. 14.Rice at ₹35 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  15. 15.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?
  16. 16.A grocer mixes 6 kg of tea at ₹81 per kg with 11 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 11 kg of tea at ₹44 per kg with 11 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 6 kg of tea at ₹66 per kg with 4 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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?
  20. 20.A jug has 50 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?
  21. 21.A grocer mixes 8 kg of tea at ₹48 per kg with 2 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 64-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  23. 23.A grocer mixes 10 kg of tea at ₹66 per kg with 10 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 6-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?
  25. 25.A grocer mixes 4 kg of tea at ₹83 per kg with 6 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹37 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  27. 27.A 24-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  28. 28.A grocer mixes 12 kg of tea at ₹64 per kg with 4 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 45-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 2 : 3?
  30. 30.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  31. 31.A 36-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  32. 32.A grocer mixes 4 kg of tea at ₹50 per kg with 12 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.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?
  35. 35.A grocer mixes 3 kg of tea at ₹45 per kg with 9 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 14-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  37. 37.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?
  38. 38.Rice at ₹26 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  39. 39.A 25-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?
  40. 40.Rice at ₹49 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?

Answer key

  1. 40
  2. 12
  3. 4
  4. 50
  5. 3
  6. 72
  7. 3
  8. 68
  9. 3
  10. 12
  11. 18
  12. 59
  13. 10
  14. 25
  15. 50
  16. 70
  17. 58
  18. 52
  19. 50
  20. 25
  21. 57
  22. 32
  23. 44
  24. 2
  25. 101
  26. 7
  27. 12
  28. 72
  29. 5
  30. 4
  31. 36
  32. 83
  33. 80
  34. 75
  35. 57
  36. 2
  37. 40
  38. 10
  39. 10
  40. 7

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