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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 450 · 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 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?
  2. 2.A grocer mixes 8 kg of tea at ₹37 per kg with 5 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 6 kg of tea at ₹35 per kg with 6 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 15-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 4?
  5. 5.A grocer mixes 6 kg of tea at ₹76 per kg with 7 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.A grocer mixes 3 kg of tea at ₹88 per kg with 2 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.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?
  10. 10.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  11. 11.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?
  12. 12.A grocer mixes 9 kg of tea at ₹26 per kg with 10 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹30 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 3 kg of the dearer rice?
  14. 14.Rice at ₹73 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  15. 15.A 96-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  16. 16.Rice at ₹24 per kg is mixed with rice at ₹49 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  17. 17.A grocer mixes 6 kg of tea at ₹119 per kg with 8 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 4 kg of tea at ₹26 per kg with 10 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 49-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  20. 20.A grocer mixes 4 kg of tea at ₹31 per kg with 2 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 2 kg of tea at ₹46 per kg with 3 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A jug has 10 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?
  23. 23.A grocer mixes 4 kg of tea at ₹74 per kg with 11 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 28-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  25. 25.A grocer mixes 2 kg of tea at ₹35 per kg with 11 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.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?
  27. 27.Rice at ₹60 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  28. 28.A grocer mixes 12 kg of tea at ₹22 per kg with 7 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 6 kg of tea at ₹95 per kg with 10 kg of tea at ₹63 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 60-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  31. 31.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?
  32. 32.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?
  33. 33.A 72-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  34. 34.A grocer mixes 11 kg of tea at ₹26 per kg with 11 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 12 kg of tea at ₹49 per kg with 3 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 22-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 5?
  37. 37.Rice at ₹22 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  38. 38.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?
  39. 39.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?
  40. 40.Rice at ₹60 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?

Answer key

  1. 60
  2. 62
  3. 44
  4. 6
  5. 69
  6. 50
  7. 84
  8. 50
  9. 25
  10. 28
  11. 60
  12. 46
  13. 2
  14. 21
  15. 32
  16. 7
  17. 111
  18. 86
  19. 28
  20. 32
  21. 85
  22. 68
  23. 63
  24. 28
  25. 68
  26. 50
  27. 10
  28. 43
  29. 75
  30. 5
  31. 55
  32. 64
  33. 18
  34. 41
  35. 48
  36. 2
  37. 7
  38. 25
  39. 20
  40. 8

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