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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 523 · 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 ₹54 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  2. 2.Rice at ₹63 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  3. 3.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?
  4. 4.A 60-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  5. 5.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?
  6. 6.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?
  7. 7.Rice at ₹70 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  8. 8.A grocer mixes 10 kg of tea at ₹119 per kg with 5 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹22 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  10. 10.A grocer mixes 12 kg of tea at ₹59 per kg with 3 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹38 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  12. 12.A 77-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  13. 13.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?
  14. 14.A 16-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  15. 15.A grocer mixes 6 kg of tea at ₹88 per kg with 6 kg of tea at ₹50 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. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.Rice at ₹52 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  18. 18.A grocer mixes 4 kg of tea at ₹29 per kg with 4 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 2 kg of tea at ₹103 per kg with 6 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A jug has 25 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?
  21. 21.A jug has 40 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?
  22. 22.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?
  23. 23.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?
  24. 24.A grocer mixes 8 kg of tea at ₹57 per kg with 4 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 80-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  26. 26.A grocer mixes 4 kg of tea at ₹46 per kg with 3 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 12-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?
  28. 28.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  30. 30.A grocer mixes 3 kg of tea at ₹56 per kg with 4 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.Rice at ₹45 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  33. 33.A grocer mixes 10 kg of tea at ₹116 per kg with 11 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 4 kg of tea at ₹84 per kg with 9 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A jug has 10 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.Rice at ₹65 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  37. 37.A grocer mixes 2 kg of tea at ₹108 per kg with 12 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.A grocer mixes 2 kg of tea at ₹101 per kg with 6 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 5 kg of tea at ₹116 per kg with 11 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 20
  2. 24
  3. 50
  4. 10
  5. 75
  6. 50
  7. 12
  8. 116
  9. 5
  10. 67
  11. 30
  12. 14
  13. 40
  14. 16
  15. 69
  16. 76
  17. 5
  18. 36
  19. 73
  20. 50
  21. 60
  22. 60
  23. 80
  24. 73
  25. 20
  26. 64
  27. 8
  28. 36
  29. 30
  30. 60
  31. 60
  32. 16
  33. 83
  34. 48
  35. 68
  36. 12
  37. 102
  38. 40
  39. 104
  40. 105

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