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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 618 · 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 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  2. 2.Rice at ₹71 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.Rice at ₹38 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.A 99-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  5. 5.A grocer mixes 12 kg of tea at ₹49 per kg with 3 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 3 kg of tea at ₹69 per kg with 12 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹77 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  8. 8.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?
  9. 9.Rice at ₹78 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  10. 10.A 8-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  11. 11.A grocer mixes 2 kg of tea at ₹62 per kg with 2 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 11 kg of tea at ₹55 per kg with 10 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.Rice at ₹22 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  15. 15.A 39-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  16. 16.A grocer mixes 3 kg of tea at ₹115 per kg with 6 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.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?
  19. 19.A grocer mixes 8 kg of tea at ₹44 per kg with 8 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 6 kg of tea at ₹85 per kg with 6 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹36 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  22. 22.A 27-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?
  23. 23.Rice at ₹33 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  24. 24.A 36-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?
  25. 25.Rice at ₹20 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  26. 26.A 21-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?
  27. 27.A grocer mixes 6 kg of tea at ₹104 per kg with 6 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 14-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?
  29. 29.A grocer mixes 11 kg of tea at ₹120 per kg with 11 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 12-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  31. 31.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?
  32. 32.A 20-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?
  33. 33.A jug has 40 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?
  34. 34.A grocer mixes 12 kg of tea at ₹39 per kg with 11 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 36-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  36. 36.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?
  37. 37.Rice at ₹29 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.A 24-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?
  39. 39.A jug has 10 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?
  40. 40.A grocer mixes 12 kg of tea at ₹70 per kg with 6 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 9
  2. 8
  3. 9
  4. 36
  5. 60
  6. 109
  7. 3
  8. 50
  9. 24
  10. 8
  11. 86
  12. 65
  13. 20
  14. 20
  15. 3
  16. 63
  17. 64
  18. 75
  19. 68
  20. 90
  21. 10
  22. 3
  23. 28
  24. 18
  25. 48
  26. 3
  27. 96
  28. 4
  29. 83
  30. 4
  31. 40
  32. 12
  33. 28
  34. 72
  35. 6
  36. 36
  37. 10
  38. 16
  39. 50
  40. 56

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