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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 524 · 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.Rice at ₹49 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  2. 2.Rice at ₹68 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  3. 3.A jug has 10 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?
  4. 4.A 54-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?
  5. 5.A grocer mixes 5 kg of tea at ₹93 per kg with 6 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 12 kg of tea at ₹23 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A 42-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?
  8. 8.A grocer mixes 2 kg of tea at ₹30 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹26 per kg is mixed with rice at ₹38 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?
  10. 10.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?
  11. 11.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?
  12. 12.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  13. 13.Rice at ₹50 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  14. 14.Rice at ₹40 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  15. 15.Rice at ₹30 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 24 kg of the dearer rice?
  16. 16.A grocer mixes 2 kg of tea at ₹86 per kg with 2 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.Rice at ₹73 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  19. 19.Rice at ₹39 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  20. 20.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A 16-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  22. 22.Rice at ₹69 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  23. 23.A 40-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  24. 24.A 66-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  25. 25.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  26. 26.A grocer mixes 12 kg of tea at ₹101 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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 1 : 4?
  28. 28.Rice at ₹43 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  29. 29.A grocer mixes 4 kg of tea at ₹26 per kg with 5 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 21-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?
  31. 31.A grocer mixes 10 kg of tea at ₹75 per kg with 8 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹57 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  33. 33.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?
  34. 34.A 49-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?
  35. 35.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 : 6?
  36. 36.Rice at ₹41 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  37. 37.A 96-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  38. 38.Rice at ₹57 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  39. 39.A grocer mixes 4 kg of tea at ₹119 per kg with 4 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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 4 : 7?

Answer key

  1. 4
  2. 32
  3. 68
  4. 9
  5. 69
  6. 25
  7. 7
  8. 35
  9. 30
  10. 80
  11. 75
  12. 3
  13. 2
  14. 4
  15. 30
  16. 57
  17. 40
  18. 8
  19. 10
  20. 50
  21. 8
  22. 3
  23. 5
  24. 6
  25. 9
  26. 82
  27. 9
  28. 24
  29. 56
  30. 6
  31. 51
  32. 2
  33. 50
  34. 21
  35. 28
  36. 5
  37. 8
  38. 8
  39. 77
  40. 18

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