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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 971 · 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 90-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  2. 2.A grocer mixes 6 kg of tea at ₹52 per kg with 2 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹20 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.A grocer mixes 2 kg of tea at ₹96 per kg with 12 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹35 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  6. 6.A jug has 10 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?
  7. 7.A grocer mixes 3 kg of tea at ₹70 per kg with 6 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 7 kg of tea at ₹116 per kg with 7 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.A 54-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  11. 11.A grocer mixes 12 kg of tea at ₹55 per kg with 3 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹29 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  13. 13.A 56-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.Rice at ₹70 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  15. 15.A grocer mixes 4 kg of tea at ₹50 per kg with 5 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 9 kg of tea at ₹48 per kg with 3 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹78 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  18. 18.Rice at ₹51 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.A grocer mixes 4 kg of tea at ₹42 per kg with 12 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.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?
  22. 22.Rice at ₹33 per kg is mixed with rice at ₹48 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?
  23. 23.Rice at ₹69 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  24. 24.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  25. 25.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?
  26. 26.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?
  27. 27.Rice at ₹59 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  28. 28.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 : 5?
  29. 29.A grocer mixes 6 kg of tea at ₹55 per kg with 9 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.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?
  32. 32.A 35-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  33. 33.Rice at ₹67 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  34. 34.Rice at ₹74 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  35. 35.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 1 : 1?
  36. 36.Rice at ₹60 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  37. 37.A grocer mixes 3 kg of tea at ₹95 per kg with 3 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹34 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  39. 39.Rice at ₹49 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  40. 40.A 63-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?

Answer key

  1. 10
  2. 57
  3. 1
  4. 36
  5. 20
  6. 70
  7. 64
  8. 70
  9. 28
  10. 9
  11. 51
  12. 24
  13. 8
  14. 25
  15. 85
  16. 63
  17. 16
  18. 15
  19. 78
  20. 55
  21. 50
  22. 20
  23. 9
  24. 16
  25. 60
  26. 60
  27. 40
  28. 6
  29. 46
  30. 75
  31. 28
  32. 5
  33. 8
  34. 1
  35. 2
  36. 42
  37. 71
  38. 6
  39. 6
  40. 36

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