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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 253 · 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.A grocer mixes 7 kg of tea at ₹105 per kg with 6 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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?
  3. 3.Rice at ₹75 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  4. 4.A 42-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?
  5. 5.Rice at ₹67 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  6. 6.Rice at ₹43 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  7. 7.A grocer mixes 12 kg of tea at ₹32 per kg with 3 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 11 kg of tea at ₹56 per kg with 2 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹23 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  10. 10.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?
  11. 11.A jug has 20 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?
  12. 12.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  13. 13.Rice at ₹30 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  14. 14.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 : 11?
  15. 15.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 2 : 5?
  16. 16.Rice at ₹27 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  17. 17.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A 16-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  19. 19.A 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.Rice at ₹71 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  21. 21.A grocer mixes 9 kg of tea at ₹52 per kg with 3 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 36-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  23. 23.Rice at ₹54 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  24. 24.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?
  25. 25.Rice at ₹44 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  26. 26.A 30-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  27. 27.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?
  28. 28.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A grocer mixes 8 kg of tea at ₹73 per kg with 12 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 40-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  31. 31.A grocer mixes 10 kg of tea at ₹113 per kg with 10 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 2 kg of tea at ₹114 per kg with 11 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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?
  34. 34.A grocer mixes 5 kg of tea at ₹88 per kg with 6 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 11 kg of tea at ₹49 per kg with 12 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 10 kg of tea at ₹72 per kg with 2 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  38. 38.A 72-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?
  39. 39.Rice at ₹56 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  40. 40.Rice at ₹40 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?

Answer key

  1. 111
  2. 40
  3. 12
  4. 6
  5. 20
  6. 16
  7. 34
  8. 64
  9. 10
  10. 75
  11. 55
  12. 4
  13. 40
  14. 32
  15. 6
  16. 24
  17. 60
  18. 8
  19. 27
  20. 12
  21. 60
  22. 12
  23. 3
  24. 50
  25. 3
  26. 24
  27. 50
  28. 50
  29. 46
  30. 12
  31. 70
  32. 48
  33. 60
  34. 52
  35. 73
  36. 66
  37. 8
  38. 18
  39. 30
  40. 5

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