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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 705 · 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 6 kg of tea at ₹90 per kg with 6 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 56-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  3. 3.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?
  4. 4.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?
  5. 5.A grocer mixes 8 kg of tea at ₹73 per kg with 8 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹32 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  7. 7.A grocer mixes 4 kg of tea at ₹23 per kg with 5 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 28-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?
  9. 9.A 42-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?
  10. 10.A 44-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  11. 11.Rice at ₹34 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  12. 12.A grocer mixes 5 kg of tea at ₹68 per kg with 8 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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 3 : 5?
  14. 14.A grocer mixes 7 kg of tea at ₹46 per kg with 9 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 6 kg of tea at ₹61 per kg with 10 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 2 kg of tea at ₹46 per kg with 3 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 56-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?
  18. 18.A grocer mixes 9 kg of tea at ₹30 per kg with 3 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 90-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?
  20. 20.Rice at ₹26 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  21. 21.Rice at ₹62 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  22. 22.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?
  23. 23.A grocer mixes 12 kg of tea at ₹55 per kg with 3 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 48-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  25. 25.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?
  26. 26.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?
  27. 27.A 91-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 5?
  28. 28.A grocer mixes 5 kg of tea at ₹52 per kg with 4 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.Rice at ₹80 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  31. 31.A jug has 40 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?
  32. 32.A grocer mixes 12 kg of tea at ₹101 per kg with 2 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹78 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  34. 34.Rice at ₹70 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  35. 35.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?
  36. 36.A 65-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  37. 37.Rice at ₹65 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  38. 38.A jug has 20 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.A grocer mixes 4 kg of tea at ₹30 per kg with 5 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?

Answer key

  1. 60
  2. 21
  3. 75
  4. 28
  5. 62
  6. 24
  7. 68
  8. 4
  9. 24
  10. 16
  11. 6
  12. 100
  13. 3
  14. 37
  15. 51
  16. 76
  17. 8
  18. 48
  19. 40
  20. 4
  21. 8
  22. 50
  23. 49
  24. 16
  25. 55
  26. 50
  27. 21
  28. 72
  29. 50
  30. 8
  31. 40
  32. 103
  33. 10
  34. 6
  35. 50
  36. 10
  37. 8
  38. 60
  39. 40
  40. 40

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