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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 342 · 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 ₹49 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  2. 2.A 25-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  3. 3.A grocer mixes 4 kg of tea at ₹111 per kg with 3 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 36-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?
  5. 5.A jug has 20 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?
  6. 6.Rice at ₹24 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  7. 7.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.Rice at ₹76 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  9. 9.A jug has 40 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?
  10. 10.Rice at ₹69 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  11. 11.Rice at ₹27 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  12. 12.A grocer mixes 2 kg of tea at ₹21 per kg with 6 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 12-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  14. 14.A grocer mixes 5 kg of tea at ₹80 per kg with 10 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹79 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  16. 16.A 18-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?
  17. 17.A 56-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  18. 18.Rice at ₹73 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  19. 19.A grocer mixes 10 kg of tea at ₹22 per kg with 3 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 24-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 8?
  21. 21.A 24-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?
  22. 22.Rice at ₹46 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  23. 23.A grocer mixes 4 kg of tea at ₹49 per kg with 2 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹76 per kg is mixed with rice at ₹116 per kg to make a mix worth ₹108 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  25. 25.A grocer mixes 10 kg of tea at ₹23 per kg with 12 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 3 kg of tea at ₹40 per kg with 11 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹79 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  28. 28.A 65-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  29. 29.A 45-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?
  30. 30.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?
  31. 31.A 33-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?
  32. 32.A 96-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  33. 33.A jug has 40 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?
  34. 34.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 2 : 3?
  35. 35.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?
  36. 36.A grocer mixes 8 kg of tea at ₹86 per kg with 2 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A grocer mixes 4 kg of tea at ₹71 per kg with 7 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹65 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  39. 39.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?
  40. 40.A grocer mixes 4 kg of tea at ₹61 per kg with 5 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 4
  2. 15
  3. 75
  4. 6
  5. 55
  6. 8
  7. 50
  8. 4
  9. 60
  10. 15
  11. 12
  12. 39
  13. 4
  14. 42
  15. 6
  16. 4
  17. 14
  18. 16
  19. 28
  20. 12
  21. 12
  22. 25
  23. 59
  24. 2
  25. 41
  26. 29
  27. 14
  28. 5
  29. 9
  30. 50
  31. 6
  32. 24
  33. 52
  34. 7
  35. 5
  36. 92
  37. 50
  38. 2
  39. 25
  40. 41

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