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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 51 · 40 questions
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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.Rice at ₹25 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.A grocer mixes 7 kg of tea at ₹82 per kg with 2 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.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?
  5. 5.A 48-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  6. 6.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?
  7. 7.Rice at ₹36 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  8. 8.A grocer mixes 3 kg of tea at ₹107 per kg with 9 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 10 kg of tea at ₹77 per kg with 10 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 10 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?
  11. 11.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  12. 12.A grocer mixes 12 kg of tea at ₹48 per kg with 4 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 21-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?
  14. 14.A grocer mixes 4 kg of tea at ₹91 per kg with 8 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 45-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  16. 16.A grocer mixes 10 kg of tea at ₹106 per kg with 8 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 42-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?
  18. 18.Rice at ₹33 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  19. 19.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.A 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  21. 21.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A 28-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  23. 23.A 130-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  24. 24.A grocer mixes 9 kg of tea at ₹43 per kg with 3 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹23 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  26. 26.A grocer mixes 10 kg of tea at ₹30 per kg with 2 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A jug has 40 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?
  28. 28.Rice at ₹80 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹116 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  29. 29.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?
  30. 30.A grocer mixes 6 kg of tea at ₹73 per kg with 6 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹27 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  32. 32.Rice at ₹59 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  33. 33.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?
  34. 34.A 12-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  35. 35.A grocer mixes 6 kg of tea at ₹108 per kg with 2 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹71 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  37. 37.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?
  38. 38.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?
  39. 39.A jug has 40 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?
  40. 40.Rice at ₹31 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?

Answer key

  1. 24
  2. 84
  3. 80
  4. 50
  5. 24
  6. 60
  7. 8
  8. 77
  9. 51
  10. 40
  11. 20
  12. 61
  13. 6
  14. 75
  15. 18
  16. 86
  17. 12
  18. 8
  19. 8
  20. 9
  21. 50
  22. 21
  23. 40
  24. 46
  25. 20
  26. 36
  27. 20
  28. 5
  29. 60
  30. 57
  31. 18
  32. 7
  33. 36
  34. 6
  35. 96
  36. 12
  37. 2
  38. 75
  39. 40
  40. 15

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