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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 134 · 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 5 kg of tea at ₹50 per kg with 10 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.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 2 : 3?
  3. 3.A grocer mixes 6 kg of tea at ₹81 per kg with 6 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A jug has 25 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?
  5. 5.Rice at ₹30 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  6. 6.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  7. 7.Rice at ₹65 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  8. 8.A 18-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  9. 9.A grocer mixes 10 kg of tea at ₹101 per kg with 8 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 10 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  12. 12.A grocer mixes 4 kg of tea at ₹23 per kg with 2 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 8 kg of tea at ₹74 per kg with 3 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.Rice at ₹37 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  16. 16.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?
  17. 17.A jug has 20 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.Rice at ₹47 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  19. 19.A grocer mixes 6 kg of tea at ₹69 per kg with 9 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 10 kg of tea at ₹23 per kg with 2 kg of tea at ₹47 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 12 kg of tea at ₹90 per kg with 12 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 1 : 1?
  23. 23.Rice at ₹32 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  24. 24.Rice at ₹77 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  25. 25.A grocer mixes 9 kg of tea at ₹29 per kg with 9 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 9 kg of tea at ₹49 per kg with 9 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.Rice at ₹67 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  29. 29.A jug has 10 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?
  30. 30.A jug has 10 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?
  31. 31.A grocer mixes 2 kg of tea at ₹55 per kg with 12 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹74 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  33. 33.A 90-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  34. 34.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?
  35. 35.Rice at ₹60 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  36. 36.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?
  37. 37.A 20-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?
  38. 38.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 6 : 5?
  39. 39.A 42-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  40. 40.A grocer mixes 3 kg of tea at ₹97 per kg with 3 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 64
  2. 4
  3. 60
  4. 50
  5. 5
  6. 10
  7. 8
  8. 4
  9. 105
  10. 80
  11. 30
  12. 25
  13. 77
  14. 40
  15. 5
  16. 60
  17. 70
  18. 2
  19. 45
  20. 27
  21. 85
  22. 16
  23. 15
  24. 6
  25. 41
  26. 54
  27. 50
  28. 1
  29. 40
  30. 70
  31. 103
  32. 42
  33. 10
  34. 60
  35. 5
  36. 64
  37. 4
  38. 36
  39. 12
  40. 65

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