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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 974 · 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 11 kg of tea at ₹114 per kg with 12 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 70-litre mix has milk and water in the ratio 7 : 3. 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 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  4. 4.A grocer mixes 8 kg of tea at ₹21 per kg with 4 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.A grocer mixes 12 kg of tea at ₹65 per kg with 3 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.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?
  8. 8.A 56-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  9. 9.Rice at ₹57 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  10. 10.A grocer mixes 3 kg of tea at ₹79 per kg with 3 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 5 kg of tea at ₹52 per kg with 11 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 12 kg of tea at ₹51 per kg with 4 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹41 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  14. 14.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?
  15. 15.Rice at ₹72 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  16. 16.A grocer mixes 7 kg of tea at ₹58 per kg with 7 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.Rice at ₹61 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  19. 19.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  20. 20.A jug has 20 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?
  21. 21.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  22. 22.A 24-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?
  23. 23.A grocer mixes 2 kg of tea at ₹46 per kg with 3 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹27 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  25. 25.A grocer mixes 3 kg of tea at ₹103 per kg with 9 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹76 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  27. 27.A grocer mixes 10 kg of tea at ₹26 per kg with 10 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 8-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  29. 29.A 40-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  30. 30.A grocer mixes 5 kg of tea at ₹110 per kg with 4 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.A grocer mixes 4 kg of tea at ₹73 per kg with 4 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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?
  34. 34.A grocer mixes 8 kg of tea at ₹33 per kg with 4 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹29 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  36. 36.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?
  37. 37.A grocer mixes 3 kg of tea at ₹22 per kg with 4 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹47 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  39. 39.A grocer mixes 2 kg of tea at ₹48 per kg with 12 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 90
  2. 7
  3. 25
  4. 44
  5. 64
  6. 66
  7. 50
  8. 16
  9. 9
  10. 63
  11. 96
  12. 62
  13. 15
  14. 55
  15. 16
  16. 84
  17. 80
  18. 40
  19. 6
  20. 50
  21. 6
  22. 4
  23. 55
  24. 2
  25. 70
  26. 16
  27. 45
  28. 2
  29. 15
  30. 86
  31. 40
  32. 52
  33. 50
  34. 59
  35. 10
  36. 40
  37. 58
  38. 20
  39. 24
  40. 52

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