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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 80 · 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.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  2. 2.A grocer mixes 6 kg of tea at ₹119 per kg with 6 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹22 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  4. 4.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?
  5. 5.Rice at ₹80 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  6. 6.A 39-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  7. 7.A grocer mixes 2 kg of tea at ₹27 per kg with 5 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 2 kg of tea at ₹63 per kg with 2 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.A grocer mixes 3 kg of tea at ₹29 per kg with 3 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 2 kg of tea at ₹21 per kg with 2 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A 63-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  13. 13.A 70-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?
  14. 14.A 28-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?
  15. 15.A 45-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  16. 16.Rice at ₹68 per kg is mixed with rice at ₹131 per kg to make a mix worth ₹103 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  17. 17.Rice at ₹62 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  18. 18.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?
  19. 19.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  20. 20.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  21. 21.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?
  22. 22.A grocer mixes 12 kg of tea at ₹89 per kg with 3 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹26 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  24. 24.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?
  25. 25.A 45-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?
  26. 26.A grocer mixes 3 kg of tea at ₹119 per kg with 3 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 36-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  28. 28.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?
  29. 29.Rice at ₹42 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  30. 30.A grocer mixes 4 kg of tea at ₹45 per kg with 12 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.A grocer mixes 2 kg of tea at ₹113 per kg with 3 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹25 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  34. 34.Rice at ₹33 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  35. 35.A 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  36. 36.Rice at ₹24 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  37. 37.A jug has 40 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?
  38. 38.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?
  39. 39.A grocer mixes 11 kg of tea at ₹20 per kg with 11 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 12
  2. 93
  3. 2
  4. 75
  5. 12
  6. 12
  7. 62
  8. 81
  9. 60
  10. 52
  11. 51
  12. 21
  13. 10
  14. 8
  15. 5
  16. 28
  17. 15
  18. 36
  19. 4
  20. 4
  21. 12
  22. 79
  23. 3
  24. 6
  25. 27
  26. 87
  27. 4
  28. 36
  29. 25
  30. 51
  31. 60
  32. 98
  33. 8
  34. 8
  35. 20
  36. 3
  37. 25
  38. 70
  39. 39
  40. 28

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