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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 589 · 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 12 kg of tea at ₹21 per kg with 4 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 4 kg of tea at ₹64 per kg with 4 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.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?
  4. 4.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  5. 5.A grocer mixes 3 kg of tea at ₹87 per kg with 6 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 10 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?
  7. 7.A 78-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  8. 8.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.A grocer mixes 8 kg of tea at ₹51 per kg with 8 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 6 kg of tea at ₹57 per kg with 8 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹20 per kg is mixed with rice at ₹62 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?
  12. 12.Rice at ₹41 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  13. 13.Rice at ₹61 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  14. 14.A jug has 20 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A grocer mixes 2 kg of tea at ₹86 per kg with 3 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 78-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  17. 17.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?
  18. 18.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  19. 19.Rice at ₹54 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  20. 20.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  21. 21.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?
  22. 22.A grocer mixes 8 kg of tea at ₹77 per kg with 5 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 11 kg of tea at ₹43 per kg with 11 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.A grocer mixes 4 kg of tea at ₹68 per kg with 8 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹34 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  27. 27.Rice at ₹35 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 24 kg of the dearer rice?
  28. 28.Rice at ₹58 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  29. 29.A 110-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?
  30. 30.Rice at ₹39 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  31. 31.A 80-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?
  32. 32.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?
  33. 33.A grocer mixes 3 kg of tea at ₹65 per kg with 9 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A jug has 20 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?
  35. 35.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?
  36. 36.Rice at ₹25 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  37. 37.A jug has 10 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.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 4 : 5?
  39. 39.A 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  40. 40.A grocer mixes 9 kg of tea at ₹46 per kg with 12 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 38
  2. 65
  3. 60
  4. 64
  5. 105
  6. 60
  7. 12
  8. 36
  9. 56
  10. 37
  11. 6
  12. 14
  13. 18
  14. 70
  15. 50
  16. 24
  17. 50
  18. 36
  19. 16
  20. 12
  21. 70
  22. 87
  23. 59
  24. 40
  25. 62
  26. 40
  27. 20
  28. 14
  29. 10
  30. 7
  31. 20
  32. 55
  33. 80
  34. 52
  35. 40
  36. 5
  37. 80
  38. 12
  39. 7
  40. 38

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