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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 344 · 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 ₹28 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  2. 2.Rice at ₹40 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  3. 3.Rice at ₹56 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  4. 4.Rice at ₹20 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  5. 5.A grocer mixes 10 kg of tea at ₹28 per kg with 10 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹53 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  7. 7.Rice at ₹44 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?
  8. 8.Rice at ₹25 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  9. 9.A jug has 25 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?
  10. 10.Rice at ₹33 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  11. 11.A 36-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?
  12. 12.A grocer mixes 3 kg of tea at ₹64 per kg with 9 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.A jug has 40 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?
  15. 15.A 36-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  16. 16.A 30-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?
  17. 17.Rice at ₹27 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  18. 18.Rice at ₹27 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  19. 19.A grocer mixes 5 kg of tea at ₹98 per kg with 2 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹29 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  21. 21.A grocer mixes 7 kg of tea at ₹20 per kg with 12 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A jug has 20 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?
  23. 23.A grocer mixes 11 kg of tea at ₹35 per kg with 11 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 99-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?
  25. 25.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  26. 26.Rice at ₹29 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  27. 27.A jug has 40 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?
  28. 28.A grocer mixes 4 kg of tea at ₹21 per kg with 2 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.Rice at ₹53 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  31. 31.Rice at ₹78 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  32. 32.A grocer mixes 8 kg of tea at ₹50 per kg with 8 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 3 kg of tea at ₹74 per kg with 2 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A jug has 20 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?
  35. 35.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?
  36. 36.A grocer mixes 2 kg of tea at ₹81 per kg with 2 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.A jug has 40 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?
  39. 39.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  40. 40.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?

Answer key

  1. 24
  2. 6
  3. 8
  4. 9
  5. 36
  6. 20
  7. 24
  8. 35
  9. 50
  10. 30
  11. 8
  12. 82
  13. 60
  14. 28
  15. 18
  16. 10
  17. 10
  18. 5
  19. 104
  20. 7
  21. 68
  22. 28
  23. 38
  24. 27
  25. 15
  26. 10
  27. 25
  28. 33
  29. 60
  30. 8
  31. 2
  32. 56
  33. 84
  34. 70
  35. 20
  36. 88
  37. 80
  38. 36
  39. 16
  40. 27

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