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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 155 · 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 2 kg of tea at ₹102 per kg with 6 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 42-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  3. 3.A grocer mixes 3 kg of tea at ₹33 per kg with 5 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹54 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  5. 5.Rice at ₹79 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  6. 6.Rice at ₹25 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  7. 7.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?
  8. 8.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?
  9. 9.A grocer mixes 2 kg of tea at ₹71 per kg with 4 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 4 kg of tea at ₹69 per kg with 7 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A 36-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?
  12. 12.A 42-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?
  13. 13.A grocer mixes 2 kg of tea at ₹119 per kg with 4 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 32-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  15. 15.A jug has 10 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?
  16. 16.Rice at ₹30 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 3 kg of the dearer rice?
  17. 17.A grocer mixes 9 kg of tea at ₹28 per kg with 9 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 8-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?
  19. 19.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 : 11?
  20. 20.Rice at ₹40 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  21. 21.A grocer mixes 12 kg of tea at ₹51 per kg with 3 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A 22-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  23. 23.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?
  24. 24.A grocer mixes 2 kg of tea at ₹56 per kg with 7 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.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?
  26. 26.A 35-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  27. 27.Rice at ₹42 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  28. 28.A jug has 50 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?
  29. 29.A 99-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  30. 30.A grocer mixes 12 kg of tea at ₹47 per kg with 6 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 3 kg of tea at ₹79 per kg with 12 kg of tea at ₹94 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 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  33. 33.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  34. 34.Rice at ₹34 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  35. 35.Rice at ₹36 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  36. 36.Rice at ₹26 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  37. 37.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?
  38. 38.A grocer mixes 4 kg of tea at ₹73 per kg with 2 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 12 kg of tea at ₹100 per kg with 6 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 49-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 7?

Answer key

  1. 78
  2. 12
  3. 43
  4. 10
  5. 15
  6. 18
  7. 25
  8. 40
  9. 43
  10. 48
  11. 9
  12. 6
  13. 113
  14. 4
  15. 70
  16. 4
  17. 37
  18. 2
  19. 32
  20. 24
  21. 50
  22. 2
  23. 50
  24. 98
  25. 50
  26. 10
  27. 12
  28. 50
  29. 27
  30. 55
  31. 91
  32. 18
  33. 16
  34. 6
  35. 3
  36. 12
  37. 25
  38. 77
  39. 99
  40. 7

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