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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 29 · 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.Rice at ₹66 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  2. 2.Rice at ₹32 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  3. 3.A grocer mixes 6 kg of tea at ₹26 per kg with 3 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 6 kg of tea at ₹40 per kg with 6 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.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?
  7. 7.Rice at ₹21 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  8. 8.A grocer mixes 2 kg of tea at ₹97 per kg with 4 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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?
  10. 10.A grocer mixes 6 kg of tea at ₹83 per kg with 8 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  12. 12.Rice at ₹26 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  13. 13.A 54-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  14. 14.A grocer mixes 12 kg of tea at ₹35 per kg with 6 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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 : 3?
  16. 16.Rice at ₹37 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  17. 17.A 91-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?
  18. 18.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.A grocer mixes 10 kg of tea at ₹40 per kg with 6 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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?
  21. 21.A grocer mixes 9 kg of tea at ₹72 per kg with 6 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 4 kg of tea at ₹59 per kg with 4 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.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?
  24. 24.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?
  25. 25.A 28-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  26. 26.A 20-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  27. 27.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?
  28. 28.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A grocer mixes 4 kg of tea at ₹33 per kg with 2 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 10 kg of tea at ₹107 per kg with 10 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹61 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  33. 33.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  34. 34.A 45-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  35. 35.A grocer mixes 3 kg of tea at ₹100 per kg with 4 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹24 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  37. 37.A 44-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?
  38. 38.Rice at ₹24 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  39. 39.A jug has 40 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?
  40. 40.A grocer mixes 3 kg of tea at ₹30 per kg with 4 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 1
  2. 20
  3. 57
  4. 46
  5. 50
  6. 52
  7. 8
  8. 103
  9. 60
  10. 47
  11. 12
  12. 8
  13. 12
  14. 44
  15. 8
  16. 35
  17. 28
  18. 75
  19. 34
  20. 40
  21. 62
  22. 61
  23. 50
  24. 50
  25. 16
  26. 4
  27. 16
  28. 60
  29. 25
  30. 43
  31. 92
  32. 32
  33. 40
  34. 10
  35. 72
  36. 5
  37. 4
  38. 30
  39. 60
  40. 38

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