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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 27 · 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 ₹31 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  2. 2.A 9-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?
  3. 3.A grocer mixes 11 kg of tea at ₹90 per kg with 11 kg of tea at ₹52 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 70-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  6. 6.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?
  7. 7.Rice at ₹80 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 2 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.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?
  10. 10.A jug has 10 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?
  11. 11.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 : 5?
  12. 12.A 77-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?
  13. 13.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?
  14. 14.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 : 4?
  15. 15.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?
  16. 16.A grocer mixes 12 kg of tea at ₹100 per kg with 3 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 8 kg of tea at ₹40 per kg with 2 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 36-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 6?
  19. 19.A grocer mixes 6 kg of tea at ₹117 per kg with 8 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  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.Rice at ₹23 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  22. 22.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  23. 23.A grocer mixes 10 kg of tea at ₹79 per kg with 2 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹25 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  25. 25.Rice at ₹54 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 5 kg of the dearer rice?
  26. 26.A jug has 10 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?
  27. 27.Rice at ₹29 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 40 kg of the dearer rice?
  28. 28.A 80-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  29. 29.A 14-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  30. 30.A grocer mixes 11 kg of tea at ₹47 per kg with 2 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A jug has 40 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 11 kg of tea at ₹34 per kg with 12 kg of tea at ₹80 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. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.Rice at ₹54 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  35. 35.A grocer mixes 2 kg of tea at ₹52 per kg with 4 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹32 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  37. 37.Rice at ₹42 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  38. 38.Rice at ₹29 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  39. 39.Rice at ₹67 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  40. 40.A 16-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?

Answer key

  1. 7
  2. 3
  3. 71
  4. 25
  5. 21
  6. 55
  7. 4
  8. 76
  9. 50
  10. 60
  11. 18
  12. 21
  13. 70
  14. 12
  15. 40
  16. 85
  17. 43
  18. 8
  19. 65
  20. 4
  21. 4
  22. 8
  23. 78
  24. 30
  25. 6
  26. 70
  27. 8
  28. 24
  29. 4
  30. 43
  31. 20
  32. 58
  33. 75
  34. 3
  35. 50
  36. 15
  37. 6
  38. 15
  39. 24
  40. 2

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