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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 755 · 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 grocer mixes 4 kg of tea at ₹34 per kg with 5 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 4 kg of tea at ₹55 per kg with 6 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 10 kg of tea at ₹76 per kg with 10 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹21 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 25 kg of the dearer rice?
  5. 5.A grocer mixes 5 kg of tea at ₹84 per kg with 2 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹40 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  7. 7.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?
  8. 8.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?
  9. 9.Rice at ₹30 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  10. 10.A 56-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  11. 11.Rice at ₹43 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  12. 12.Rice at ₹71 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  13. 13.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 : 11?
  14. 14.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  15. 15.Rice at ₹35 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  16. 16.Rice at ₹59 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  17. 17.A 15-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  18. 18.A 14-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  19. 19.A grocer mixes 2 kg of tea at ₹73 per kg with 8 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 10 kg of tea at ₹112 per kg with 10 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A jug has 40 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?
  22. 22.A 39-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  23. 23.A 72-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?
  24. 24.A grocer mixes 11 kg of tea at ₹67 per kg with 11 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  26. 26.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.A grocer mixes 12 kg of tea at ₹48 per kg with 2 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹61 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  29. 29.A 27-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 9?
  30. 30.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.Rice at ₹52 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  32. 32.A grocer mixes 10 kg of tea at ₹24 per kg with 5 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹30 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  34. 34.A 40-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  35. 35.A grocer mixes 10 kg of tea at ₹91 per kg with 4 kg of tea at ₹105 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 16-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  37. 37.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?
  38. 38.A grocer mixes 6 kg of tea at ₹120 per kg with 10 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 32-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?
  40. 40.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?

Answer key

  1. 54
  2. 88
  3. 73
  4. 5
  5. 86
  6. 6
  7. 25
  8. 55
  9. 5
  10. 28
  11. 6
  12. 4
  13. 8
  14. 5
  15. 1
  16. 10
  17. 10
  18. 2
  19. 45
  20. 95
  21. 40
  22. 6
  23. 16
  24. 56
  25. 75
  26. 50
  27. 49
  28. 4
  29. 12
  30. 60
  31. 3
  32. 25
  33. 15
  34. 32
  35. 95
  36. 12
  37. 50
  38. 110
  39. 32
  40. 50

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