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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 980 · 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 ₹28 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.Rice at ₹46 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  3. 3.Rice at ₹59 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  4. 4.Rice at ₹24 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  5. 5.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  6. 6.A grocer mixes 2 kg of tea at ₹104 per kg with 2 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹60 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  8. 8.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?
  9. 9.A jug has 40 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?
  10. 10.A grocer mixes 7 kg of tea at ₹90 per kg with 12 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 3 kg of tea at ₹79 per kg with 4 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 10 kg of tea at ₹69 per kg with 10 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.A grocer mixes 3 kg of tea at ₹89 per kg with 9 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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?
  16. 16.Rice at ₹47 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  17. 17.A 56-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  18. 18.A jug has 25 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?
  19. 19.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?
  20. 20.Rice at ₹24 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹25 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  21. 21.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?
  22. 22.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?
  23. 23.A 20-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  24. 24.A grocer mixes 4 kg of tea at ₹45 per kg with 4 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹69 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  26. 26.Rice at ₹47 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  27. 27.Rice at ₹38 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  28. 28.A jug has 40 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?
  29. 29.Rice at ₹54 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  30. 30.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?
  31. 31.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?
  32. 32.Rice at ₹26 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  33. 33.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?
  34. 34.Rice at ₹37 per kg is mixed with rice at ₹85 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?
  35. 35.A grocer mixes 12 kg of tea at ₹30 per kg with 12 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹67 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  37. 37.A grocer mixes 5 kg of tea at ₹62 per kg with 10 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 8 kg of tea at ₹29 per kg with 8 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹25 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  40. 40.A 18-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?

Answer key

  1. 9
  2. 4
  3. 4
  4. 3
  5. 4
  6. 73
  7. 2
  8. 70
  9. 25
  10. 78
  11. 75
  12. 93
  13. 40
  14. 107
  15. 50
  16. 7
  17. 8
  18. 50
  19. 25
  20. 9
  21. 40
  22. 28
  23. 8
  24. 43
  25. 6
  26. 4
  27. 25
  28. 60
  29. 3
  30. 50
  31. 50
  32. 1
  33. 28
  34. 5
  35. 51
  36. 8
  37. 98
  38. 73
  39. 30
  40. 6

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