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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 441 · 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 grocer mixes 4 kg of tea at ₹24 per kg with 6 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹65 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  3. 3.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?
  4. 4.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?
  5. 5.A grocer mixes 9 kg of tea at ₹23 per kg with 3 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹69 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  7. 7.A 42-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?
  8. 8.A grocer mixes 9 kg of tea at ₹67 per kg with 9 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 2 kg of tea at ₹78 per kg with 2 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A 63-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  11. 11.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?
  12. 12.Rice at ₹35 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  13. 13.A 42-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  14. 14.A grocer mixes 10 kg of tea at ₹117 per kg with 9 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹58 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  16. 16.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.Rice at ₹51 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.Rice at ₹73 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  19. 19.A 50-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?
  20. 20.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?
  21. 21.A grocer mixes 6 kg of tea at ₹33 per kg with 5 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹46 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  23. 23.Rice at ₹36 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.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?
  25. 25.A grocer mixes 2 kg of tea at ₹33 per kg with 2 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 2 kg of tea at ₹83 per kg with 12 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 28-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  28. 28.A grocer mixes 6 kg of tea at ₹38 per kg with 9 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.Rice at ₹77 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  30. 30.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 : 6?
  31. 31.Rice at ₹52 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  32. 32.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?
  33. 33.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?
  34. 34.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A 54-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  36. 36.A grocer mixes 8 kg of tea at ₹24 per kg with 2 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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 : 8?
  38. 38.A 15-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  39. 39.Rice at ₹43 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  40. 40.Rice at ₹47 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 66
  2. 15
  3. 25
  4. 70
  5. 42
  6. 6
  7. 6
  8. 69
  9. 95
  10. 14
  11. 25
  12. 10
  13. 24
  14. 108
  15. 28
  16. 50
  17. 6
  18. 24
  19. 20
  20. 50
  21. 58
  22. 20
  23. 5
  24. 50
  25. 35
  26. 53
  27. 16
  28. 71
  29. 5
  30. 27
  31. 12
  32. 50
  33. 70
  34. 75
  35. 36
  36. 26
  37. 12
  38. 3
  39. 35
  40. 48

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