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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 174 · 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 ₹27 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  2. 2.Rice at ₹45 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.A grocer mixes 8 kg of tea at ₹110 per kg with 9 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.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?
  5. 5.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?
  6. 6.Rice at ₹37 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 8 kg of the dearer rice?
  7. 7.Rice at ₹56 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  8. 8.A grocer mixes 12 kg of tea at ₹54 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 6 kg of tea at ₹49 per kg with 3 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  11. 11.Rice at ₹46 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  12. 12.Rice at ₹58 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  13. 13.A grocer mixes 3 kg of tea at ₹65 per kg with 4 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹22 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  15. 15.A grocer mixes 11 kg of tea at ₹70 per kg with 11 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹22 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  17. 17.Rice at ₹32 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  18. 18.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  19. 19.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?
  20. 20.A 8-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  21. 21.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?
  22. 22.Rice at ₹74 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  23. 23.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?
  24. 24.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?
  25. 25.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?
  26. 26.A grocer mixes 8 kg of tea at ₹97 per kg with 4 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.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 1 : 1?
  29. 29.Rice at ₹22 per kg is mixed with rice at ₹85 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?
  30. 30.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?
  31. 31.Rice at ₹20 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  32. 32.A 45-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  33. 33.A 30-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  34. 34.A 10-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?
  35. 35.A 50-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  36. 36.A grocer mixes 4 kg of tea at ₹96 per kg with 2 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 35-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  38. 38.Rice at ₹46 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  39. 39.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 : 7?
  40. 40.Rice at ₹71 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?

Answer key

  1. 12
  2. 3
  3. 74
  4. 25
  5. 2
  6. 6
  7. 15
  8. 60
  9. 65
  10. 4
  11. 7
  12. 7
  13. 89
  14. 30
  15. 87
  16. 2
  17. 1
  18. 36
  19. 40
  20. 4
  21. 40
  22. 5
  23. 50
  24. 60
  25. 50
  26. 94
  27. 36
  28. 10
  29. 20
  30. 52
  31. 18
  32. 20
  33. 10
  34. 4
  35. 10
  36. 80
  37. 10
  38. 9
  39. 6
  40. 20

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