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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 826 · 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 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?
  2. 2.Rice at ₹44 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  3. 3.A 80-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  4. 4.A grocer mixes 7 kg of tea at ₹105 per kg with 7 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.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?
  7. 7.A 40-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  8. 8.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.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?
  10. 10.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?
  11. 11.Rice at ₹54 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  12. 12.A grocer mixes 9 kg of tea at ₹42 per kg with 9 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹70 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  14. 14.A grocer mixes 7 kg of tea at ₹87 per kg with 3 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹24 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  16. 16.Rice at ₹31 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  17. 17.A grocer mixes 7 kg of tea at ₹110 per kg with 2 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 20-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  19. 19.A grocer mixes 12 kg of tea at ₹101 per kg with 12 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 10-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?
  21. 21.Rice at ₹68 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  22. 22.Rice at ₹80 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  23. 23.A 45-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  24. 24.A 48-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?
  25. 25.A grocer mixes 6 kg of tea at ₹60 per kg with 2 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 80-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  27. 27.Rice at ₹54 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  28. 28.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?
  29. 29.A grocer mixes 4 kg of tea at ₹68 per kg with 4 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 10 kg of tea at ₹92 per kg with 10 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹63 per kg is mixed with rice at ₹140 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  32. 32.Rice at ₹74 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  33. 33.Rice at ₹59 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  34. 34.A grocer mixes 3 kg of tea at ₹23 per kg with 3 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 11 kg of tea at ₹41 per kg with 2 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 104-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  37. 37.A 16-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  38. 38.A grocer mixes 6 kg of tea at ₹94 per kg with 6 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.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?

Answer key

  1. 50
  2. 7
  3. 16
  4. 108
  5. 60
  6. 60
  7. 5
  8. 75
  9. 36
  10. 25
  11. 8
  12. 47
  13. 2
  14. 72
  15. 12
  16. 4
  17. 98
  18. 4
  19. 74
  20. 4
  21. 6
  22. 4
  23. 15
  24. 12
  25. 52
  26. 16
  27. 21
  28. 50
  29. 47
  30. 99
  31. 18
  32. 3
  33. 2
  34. 47
  35. 49
  36. 16
  37. 6
  38. 98
  39. 50
  40. 40

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