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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 767 · 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 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 : 6?
  2. 2.Rice at ₹52 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  3. 3.A grocer mixes 3 kg of tea at ₹49 per kg with 8 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹72 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  5. 5.A grocer mixes 4 kg of tea at ₹24 per kg with 10 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A 35-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  7. 7.A 130-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  8. 8.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?
  9. 9.A jug has 10 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?
  10. 10.A grocer mixes 7 kg of tea at ₹68 per kg with 7 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A jug has 50 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?
  12. 12.A 24-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  13. 13.Rice at ₹46 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  14. 14.A 60-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  15. 15.Rice at ₹24 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  16. 16.A 35-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?
  17. 17.A grocer mixes 3 kg of tea at ₹90 per kg with 6 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 3 kg of tea at ₹20 per kg with 7 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹61 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  20. 20.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A grocer mixes 6 kg of tea at ₹58 per kg with 3 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A jug has 20 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?
  23. 23.Rice at ₹36 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  24. 24.A grocer mixes 2 kg of tea at ₹34 per kg with 6 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.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 : 4?
  27. 27.A 28-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  28. 28.Rice at ₹52 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  29. 29.A 14-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  30. 30.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A grocer mixes 8 kg of tea at ₹25 per kg with 8 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 66-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  33. 33.A 88-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  34. 34.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?
  35. 35.A grocer mixes 4 kg of tea at ₹79 per kg with 10 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.A grocer mixes 4 kg of tea at ₹120 per kg with 6 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 104-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?
  39. 39.A grocer mixes 4 kg of tea at ₹97 per kg with 4 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹58 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?

Answer key

  1. 3
  2. 25
  3. 89
  4. 18
  5. 39
  6. 21
  7. 10
  8. 60
  9. 70
  10. 56
  11. 50
  12. 16
  13. 15
  14. 12
  15. 3
  16. 15
  17. 100
  18. 34
  19. 25
  20. 36
  21. 62
  22. 40
  23. 10
  24. 70
  25. 25
  26. 12
  27. 14
  28. 12
  29. 6
  30. 50
  31. 56
  32. 12
  33. 8
  34. 50
  35. 69
  36. 50
  37. 60
  38. 16
  39. 70
  40. 1

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