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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 275 · 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.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 : 6?
  2. 2.Rice at ₹22 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  3. 3.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?
  4. 4.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?
  5. 5.Rice at ₹31 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 15 kg of the dearer rice?
  6. 6.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?
  7. 7.Rice at ₹55 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  8. 8.Rice at ₹39 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  9. 9.A 16-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  10. 10.A grocer mixes 2 kg of tea at ₹49 per kg with 4 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹46 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  12. 12.A grocer mixes 5 kg of tea at ₹114 per kg with 5 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹63 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  14. 14.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?
  15. 15.Rice at ₹62 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  16. 16.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?
  17. 17.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A 63-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  19. 19.A grocer mixes 9 kg of tea at ₹57 per kg with 4 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A 24-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  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 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A 40-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?
  25. 25.Rice at ₹25 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  26. 26.A grocer mixes 6 kg of tea at ₹22 per kg with 12 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹79 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  28. 28.A grocer mixes 2 kg of tea at ₹53 per kg with 3 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 8 kg of tea at ₹76 per kg with 11 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 24-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  31. 31.A grocer mixes 12 kg of tea at ₹61 per kg with 6 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.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?
  34. 34.A grocer mixes 12 kg of tea at ₹112 per kg with 12 kg of tea at ₹42 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  36. 36.A 81-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  37. 37.A jug has 20 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?
  38. 38.A 81-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  39. 39.A jug has 20 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?
  40. 40.Rice at ₹52 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?

Answer key

  1. 10
  2. 6
  3. 25
  4. 12
  5. 6
  6. 28
  7. 3
  8. 4
  9. 6
  10. 81
  11. 2
  12. 87
  13. 20
  14. 50
  15. 5
  16. 75
  17. 60
  18. 27
  19. 69
  20. 50
  21. 3
  22. 60
  23. 50
  24. 16
  25. 8
  26. 24
  27. 12
  28. 59
  29. 54
  30. 32
  31. 63
  32. 36
  33. 55
  34. 77
  35. 8
  36. 27
  37. 60
  38. 9
  39. 40
  40. 16

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