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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 456 · 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 4 kg of tea at ₹21 per kg with 2 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 4 kg of tea at ₹84 per kg with 7 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹26 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.A 42-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  5. 5.Rice at ₹69 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  6. 6.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.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?
  8. 8.A jug has 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.A 77-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  10. 10.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?
  11. 11.Rice at ₹24 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  12. 12.A jug has 40 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?
  13. 13.A grocer mixes 4 kg of tea at ₹47 per kg with 5 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 3 kg of tea at ₹94 per kg with 3 kg of tea at ₹104 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. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A 36-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  17. 17.A 14-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  18. 18.A grocer mixes 9 kg of tea at ₹43 per kg with 2 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹75 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.Rice at ₹69 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  21. 21.Rice at ₹23 per kg is mixed with rice at ₹30 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  22. 22.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  23. 23.A 49-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  24. 24.Rice at ₹73 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  25. 25.Rice at ₹27 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  26. 26.A grocer mixes 6 kg of tea at ₹32 per kg with 2 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 45-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  28. 28.A grocer mixes 6 kg of tea at ₹28 per kg with 4 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 5 kg of tea at ₹86 per kg with 7 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 2 kg of tea at ₹36 per kg with 8 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.A grocer mixes 10 kg of tea at ₹84 per kg with 8 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 7 kg of tea at ₹20 per kg with 7 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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 1 : 1?
  35. 35.Rice at ₹73 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  36. 36.Rice at ₹77 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  37. 37.Rice at ₹77 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹117 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  38. 38.A grocer mixes 12 kg of tea at ₹22 per kg with 12 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹40 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  40. 40.A 22-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?

Answer key

  1. 34
  2. 77
  3. 5
  4. 28
  5. 10
  6. 50
  7. 50
  8. 50
  9. 14
  10. 52
  11. 3
  12. 28
  13. 52
  14. 99
  15. 40
  16. 6
  17. 4
  18. 55
  19. 4
  20. 6
  21. 32
  22. 12
  23. 14
  24. 6
  25. 20
  26. 53
  27. 15
  28. 36
  29. 79
  30. 48
  31. 50
  32. 60
  33. 62
  34. 10
  35. 6
  36. 24
  37. 6
  38. 61
  39. 4
  40. 8

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