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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 458 · 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 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?
  2. 2.A grocer mixes 2 kg of tea at ₹31 per kg with 5 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 5 kg of tea at ₹105 per kg with 10 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 28-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  5. 5.A grocer mixes 3 kg of tea at ₹57 per kg with 6 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A jug has 20 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?
  7. 7.Rice at ₹29 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  8. 8.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.Rice at ₹57 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  10. 10.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?
  11. 11.A grocer mixes 7 kg of tea at ₹110 per kg with 9 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 5 kg of tea at ₹52 per kg with 3 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹78 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  14. 14.A 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  15. 15.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?
  16. 16.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  17. 17.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?
  18. 18.Rice at ₹71 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  19. 19.A 80-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  20. 20.A grocer mixes 6 kg of tea at ₹37 per kg with 9 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹28 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  22. 22.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?
  23. 23.A grocer mixes 4 kg of tea at ₹100 per kg with 4 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 20-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  25. 25.Rice at ₹32 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  26. 26.Rice at ₹72 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  27. 27.A grocer mixes 6 kg of tea at ₹25 per kg with 3 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 24-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?
  29. 29.A grocer mixes 11 kg of tea at ₹73 per kg with 11 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹61 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  31. 31.Rice at ₹68 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  32. 32.Rice at ₹45 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  33. 33.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?
  34. 34.Rice at ₹75 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  35. 35.A 44-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  36. 36.A 32-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 7?
  37. 37.A grocer mixes 10 kg of tea at ₹43 per kg with 9 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹23 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  39. 39.A jug has 40 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.A 30-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?

Answer key

  1. 40
  2. 51
  3. 109
  4. 4
  5. 85
  6. 70
  7. 4
  8. 76
  9. 2
  10. 64
  11. 65
  12. 76
  13. 12
  14. 21
  15. 40
  16. 8
  17. 70
  18. 9
  19. 30
  20. 64
  21. 8
  22. 25
  23. 102
  24. 4
  25. 5
  26. 6
  27. 45
  28. 9
  29. 90
  30. 12
  31. 8
  32. 30
  33. 25
  34. 5
  35. 16
  36. 16
  37. 79
  38. 6
  39. 36
  40. 18

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