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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 750 · 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 7 kg of tea at ₹73 per kg with 6 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 7 kg of tea at ₹115 per kg with 7 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 26-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  4. 4.A grocer mixes 6 kg of tea at ₹53 per kg with 12 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹64 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  6. 6.A grocer mixes 7 kg of tea at ₹30 per kg with 9 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 5 kg of tea at ₹57 per kg with 7 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 12 kg of tea at ₹20 per kg with 4 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 9-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?
  10. 10.A jug has 20 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?
  11. 11.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?
  12. 12.A 21-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  13. 13.Rice at ₹31 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  14. 14.A grocer mixes 8 kg of tea at ₹25 per kg with 6 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A grocer mixes 5 kg of tea at ₹118 per kg with 11 kg of tea at ₹54 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 2 kg of tea at ₹67 per kg with 3 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 3 kg of tea at ₹113 per kg with 10 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.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 : 4?
  20. 20.A 27-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  21. 21.A grocer mixes 9 kg of tea at ₹87 per kg with 6 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 4 kg of tea at ₹82 per kg with 12 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 8 kg of tea at ₹87 per kg with 6 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹49 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  25. 25.A grocer mixes 12 kg of tea at ₹70 per kg with 11 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹46 per kg is mixed with rice at ₹88 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?
  27. 27.A 48-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  28. 28.Rice at ₹34 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  29. 29.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 : 6?
  30. 30.A grocer mixes 4 kg of tea at ₹72 per kg with 4 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 8 kg of tea at ₹85 per kg with 6 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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 4 : 7?
  33. 33.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 : 7?
  34. 34.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?
  35. 35.A 99-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  36. 36.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 5 : 9?
  37. 37.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.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?
  39. 39.Rice at ₹23 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  40. 40.A 66-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 1 : 1?

Answer key

  1. 91
  2. 71
  3. 2
  4. 85
  5. 6
  6. 57
  7. 78
  8. 27
  9. 6
  10. 52
  11. 55
  12. 7
  13. 18
  14. 37
  15. 25
  16. 74
  17. 64
  18. 43
  19. 7
  20. 3
  21. 97
  22. 94
  23. 69
  24. 6
  25. 81
  26. 10
  27. 24
  28. 40
  29. 2
  30. 53
  31. 97
  32. 14
  33. 4
  34. 20
  35. 36
  36. 16
  37. 50
  38. 55
  39. 20
  40. 6

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