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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 726 · 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 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.A grocer mixes 2 kg of tea at ₹48 per kg with 3 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 12 kg of tea at ₹29 per kg with 6 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 50-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  5. 5.Rice at ₹66 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 5 kg of the dearer rice?
  6. 6.A grocer mixes 6 kg of tea at ₹104 per kg with 6 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.A 35-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  9. 9.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?
  10. 10.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?
  11. 11.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.A 104-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  13. 13.A jug has 20 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?
  14. 14.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?
  15. 15.A grocer mixes 6 kg of tea at ₹79 per kg with 12 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 81-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?
  17. 17.A jug has 10 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?
  18. 18.A grocer mixes 8 kg of tea at ₹42 per kg with 3 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. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.Rice at ₹53 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  21. 21.Rice at ₹55 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  22. 22.Rice at ₹20 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.A grocer mixes 7 kg of tea at ₹94 per kg with 12 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹78 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  25. 25.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 1 : 4?
  26. 26.A grocer mixes 12 kg of tea at ₹71 per kg with 12 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.A 30-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  29. 29.A grocer mixes 8 kg of tea at ₹113 per kg with 4 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹52 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  31. 31.A 63-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  32. 32.A grocer mixes 11 kg of tea at ₹48 per kg with 11 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 56-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?
  34. 34.Rice at ₹28 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  35. 35.Rice at ₹28 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  36. 36.A 40-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  37. 37.Rice at ₹29 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  38. 38.A 14-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  39. 39.A grocer mixes 10 kg of tea at ₹40 per kg with 8 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 7 kg of tea at ₹60 per kg with 10 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 50
  2. 57
  3. 40
  4. 15
  5. 2
  6. 98
  7. 64
  8. 15
  9. 50
  10. 55
  11. 76
  12. 16
  13. 28
  14. 75
  15. 55
  16. 9
  17. 60
  18. 39
  19. 36
  20. 7
  21. 3
  22. 20
  23. 82
  24. 4
  25. 24
  26. 68
  27. 70
  28. 24
  29. 96
  30. 3
  31. 27
  32. 65
  33. 28
  34. 14
  35. 6
  36. 20
  37. 5
  38. 2
  39. 68
  40. 90

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