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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 78 · 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 ₹62 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  2. 2.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  3. 3.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  4. 4.A grocer mixes 2 kg of tea at ₹96 per kg with 6 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.Rice at ₹44 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 6 kg of the dearer rice?
  7. 7.A grocer mixes 11 kg of tea at ₹78 per kg with 12 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 6 kg of tea at ₹55 per kg with 2 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 10 kg of tea at ₹78 per kg with 10 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 5 kg of tea at ₹108 per kg with 10 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  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.A grocer mixes 2 kg of tea at ₹103 per kg with 4 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 5 kg of tea at ₹49 per kg with 5 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 5 kg of tea at ₹26 per kg with 3 kg of tea at ₹114 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.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 : 7?
  16. 16.Rice at ₹27 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  17. 17.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?
  18. 18.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?
  19. 19.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?
  20. 20.A 15-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  21. 21.A grocer mixes 3 kg of tea at ₹73 per kg with 2 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.A 25-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  24. 24.Rice at ₹32 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 30 kg of the dearer rice?
  25. 25.Rice at ₹70 per kg is mixed with rice at ₹112 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  26. 26.Rice at ₹25 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  27. 27.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?
  28. 28.A grocer mixes 10 kg of tea at ₹104 per kg with 8 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.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?
  31. 31.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?
  32. 32.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?
  33. 33.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  34. 34.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?
  35. 35.Rice at ₹21 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  36. 36.A grocer mixes 3 kg of tea at ₹52 per kg with 4 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 72-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  38. 38.Rice at ₹43 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  39. 39.Rice at ₹37 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  40. 40.Rice at ₹76 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?

Answer key

  1. 10
  2. 24
  3. 30
  4. 51
  5. 50
  6. 9
  7. 66
  8. 67
  9. 89
  10. 98
  11. 80
  12. 63
  13. 59
  14. 59
  15. 8
  16. 2
  17. 60
  18. 20
  19. 36
  20. 5
  21. 57
  22. 80
  23. 5
  24. 6
  25. 4
  26. 6
  27. 70
  28. 88
  29. 60
  30. 21
  31. 70
  32. 40
  33. 3
  34. 50
  35. 8
  36. 76
  37. 9
  38. 12
  39. 30
  40. 10

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