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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 553 · 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 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹48 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  3. 3.A 55-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  4. 4.Rice at ₹78 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  5. 5.A 56-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  6. 6.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A grocer mixes 2 kg of tea at ₹85 per kg with 4 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹42 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  9. 9.Rice at ₹25 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  10. 10.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?
  11. 11.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.Rice at ₹66 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  13. 13.A grocer mixes 11 kg of tea at ₹61 per kg with 2 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹29 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  15. 15.A grocer mixes 8 kg of tea at ₹72 per kg with 4 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A jug has 10 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?
  17. 17.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  18. 18.Rice at ₹64 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 5 kg of the dearer rice?
  19. 19.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.Rice at ₹31 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 6 kg of the dearer rice?
  21. 21.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?
  22. 22.Rice at ₹54 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.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?
  24. 24.A 36-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.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A grocer mixes 9 kg of tea at ₹112 per kg with 9 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 50-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  28. 28.A grocer mixes 10 kg of tea at ₹36 per kg with 10 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹54 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  30. 30.A grocer mixes 5 kg of tea at ₹44 per kg with 8 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 4 kg of tea at ₹54 per kg with 7 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 26-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  33. 33.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 1 : 2?
  34. 34.A grocer mixes 4 kg of tea at ₹23 per kg with 8 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 8 kg of tea at ₹120 per kg with 5 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 84-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  37. 37.Rice at ₹42 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  38. 38.A grocer mixes 2 kg of tea at ₹59 per kg with 5 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 2 kg of tea at ₹110 per kg with 4 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 2 kg of tea at ₹92 per kg with 4 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 50
  2. 6
  3. 15
  4. 30
  5. 16
  6. 50
  7. 53
  8. 6
  9. 8
  10. 55
  11. 80
  12. 6
  13. 67
  14. 48
  15. 69
  16. 80
  17. 27
  18. 10
  19. 50
  20. 18
  21. 76
  22. 18
  23. 40
  24. 9
  25. 50
  26. 90
  27. 20
  28. 60
  29. 18
  30. 68
  31. 96
  32. 4
  33. 4
  34. 25
  35. 110
  36. 7
  37. 30
  38. 69
  39. 104
  40. 48

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