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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 493 · 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 ₹67 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  2. 2.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?
  3. 3.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?
  4. 4.A grocer mixes 9 kg of tea at ₹79 per kg with 7 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.A grocer mixes 5 kg of tea at ₹110 per kg with 3 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 3 kg of tea at ₹103 per kg with 4 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹43 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  9. 9.A grocer mixes 2 kg of tea at ₹105 per kg with 9 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  11. 11.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?
  12. 12.Rice at ₹53 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  13. 13.Rice at ₹20 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  14. 14.A grocer mixes 4 kg of tea at ₹82 per kg with 6 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 7 kg of tea at ₹62 per kg with 10 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.A 77-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  18. 18.A grocer mixes 12 kg of tea at ₹20 per kg with 12 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 4 kg of tea at ₹20 per kg with 12 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 4 kg of tea at ₹55 per kg with 12 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹33 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  22. 22.A grocer mixes 2 kg of tea at ₹106 per kg with 2 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 66-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  24. 24.A 20-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?
  25. 25.Rice at ₹58 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  26. 26.Rice at ₹32 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  27. 27.A grocer mixes 2 kg of tea at ₹101 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  29. 29.Rice at ₹21 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  30. 30.A 35-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  31. 31.A grocer mixes 8 kg of tea at ₹118 per kg with 8 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 3 kg of tea at ₹39 per kg with 6 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹78 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  34. 34.Rice at ₹52 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  35. 35.A grocer mixes 5 kg of tea at ₹59 per kg with 10 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A grocer mixes 6 kg of tea at ₹120 per kg with 3 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹57 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.Rice at ₹22 per kg is mixed with rice at ₹40 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?
  39. 39.Rice at ₹20 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  40. 40.A 110-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?

Answer key

  1. 6
  2. 40
  3. 50
  4. 65
  5. 50
  6. 86
  7. 87
  8. 7
  9. 60
  10. 16
  11. 40
  12. 28
  13. 30
  14. 55
  15. 52
  16. 25
  17. 14
  18. 57
  19. 29
  20. 46
  21. 6
  22. 77
  23. 18
  24. 5
  25. 8
  26. 5
  27. 59
  28. 16
  29. 9
  30. 28
  31. 78
  32. 87
  33. 5
  34. 5
  35. 65
  36. 102
  37. 12
  38. 15
  39. 12
  40. 30

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