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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 346 · 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 ₹28 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  2. 2.A 63-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  3. 3.A grocer mixes 12 kg of tea at ₹39 per kg with 7 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 24-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?
  5. 5.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 : 6?
  6. 6.Rice at ₹29 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  7. 7.Rice at ₹20 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  8. 8.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?
  9. 9.Rice at ₹69 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  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 grocer mixes 11 kg of tea at ₹27 per kg with 11 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 4 kg of tea at ₹45 per kg with 4 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹53 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 1 kg of the dearer rice?
  14. 14.A grocer mixes 9 kg of tea at ₹60 per kg with 3 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A 40-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  17. 17.A grocer mixes 3 kg of tea at ₹43 per kg with 5 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 8 kg of tea at ₹72 per kg with 2 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹27 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  20. 20.A 45-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  21. 21.A 36-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?
  22. 22.Rice at ₹27 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.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 1 : 2?
  24. 24.Rice at ₹47 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  25. 25.A grocer mixes 12 kg of tea at ₹70 per kg with 6 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹67 per kg is mixed with rice at ₹97 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?
  27. 27.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?
  28. 28.Rice at ₹54 per kg is mixed with rice at ₹131 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  29. 29.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 : 9?
  30. 30.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?
  31. 31.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?
  32. 32.A 99-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  33. 33.A grocer mixes 3 kg of tea at ₹90 per kg with 5 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹57 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  35. 35.A 35-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  36. 36.A grocer mixes 10 kg of tea at ₹56 per kg with 10 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A jug has 20 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?
  38. 38.A 72-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?
  39. 39.A grocer mixes 2 kg of tea at ₹96 per kg with 8 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 6
  2. 9
  3. 46
  4. 4
  5. 40
  6. 7
  7. 15
  8. 75
  9. 40
  10. 40
  11. 66
  12. 48
  13. 5
  14. 69
  15. 25
  16. 5
  17. 48
  18. 62
  19. 10
  20. 9
  21. 8
  22. 10
  23. 24
  24. 6
  25. 69
  26. 15
  27. 50
  28. 25
  29. 28
  30. 9
  31. 50
  32. 18
  33. 80
  34. 2
  35. 14
  36. 42
  37. 50
  38. 8
  39. 52
  40. 70

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