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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 203 · 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 ₹72 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  2. 2.Rice at ₹60 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  3. 3.A grocer mixes 12 kg of tea at ₹47 per kg with 9 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 12 kg of tea at ₹119 per kg with 8 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 12 kg of tea at ₹71 per kg with 6 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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 7 : 6?
  7. 7.A 22-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  8. 8.Rice at ₹46 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  9. 9.A grocer mixes 4 kg of tea at ₹78 per kg with 8 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.Rice at ₹45 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  12. 12.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 14 kg of the dearer rice?
  13. 13.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  14. 14.Rice at ₹45 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  15. 15.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.Rice at ₹28 per kg is mixed with rice at ₹77 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?
  17. 17.Rice at ₹78 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.A jug has 50 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?
  19. 19.Rice at ₹28 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  20. 20.A grocer mixes 6 kg of tea at ₹60 per kg with 12 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  23. 23.A grocer mixes 4 kg of tea at ₹37 per kg with 10 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 12 kg of tea at ₹43 per kg with 11 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  26. 26.Rice at ₹69 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  27. 27.A jug has 50 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?
  28. 28.A grocer mixes 3 kg of tea at ₹21 per kg with 2 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 28-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?
  30. 30.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?
  31. 31.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  32. 32.Rice at ₹20 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  33. 33.A grocer mixes 10 kg of tea at ₹39 per kg with 10 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹40 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  35. 35.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?
  36. 36.Rice at ₹31 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  37. 37.A 54-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?
  38. 38.A jug has 10 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?
  39. 39.Rice at ₹73 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  40. 40.A 30-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 6?

Answer key

  1. 18
  2. 40
  3. 74
  4. 105
  5. 74
  6. 18
  7. 4
  8. 4
  9. 74
  10. 14
  11. 35
  12. 35
  13. 10
  14. 12
  15. 64
  16. 48
  17. 1
  18. 50
  19. 7
  20. 34
  21. 50
  22. 3
  23. 72
  24. 32
  25. 4
  26. 18
  27. 25
  28. 49
  29. 16
  30. 50
  31. 6
  32. 12
  33. 58
  34. 32
  35. 80
  36. 28
  37. 12
  38. 55
  39. 8
  40. 5

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