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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 775 · 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 72-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  2. 2.Rice at ₹53 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  3. 3.Rice at ₹74 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  4. 4.A jug has 40 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?
  5. 5.A grocer mixes 4 kg of tea at ₹45 per kg with 2 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹71 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 3 kg of the dearer rice?
  7. 7.A 63-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  8. 8.Rice at ₹64 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  9. 9.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?
  10. 10.Rice at ₹49 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  11. 11.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  12. 12.Rice at ₹21 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹29 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  13. 13.Rice at ₹58 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  14. 14.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.Rice at ₹28 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  16. 16.A 35-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  17. 17.Rice at ₹21 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  18. 18.Rice at ₹42 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  19. 19.Rice at ₹25 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.A grocer mixes 9 kg of tea at ₹60 per kg with 3 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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 24 kg of the dearer rice?
  22. 22.A 33-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  23. 23.A jug has 20 litres of a drink that is 50% mango juice. 20 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 2 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  26. 26.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?
  27. 27.Rice at ₹67 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  28. 28.A grocer mixes 2 kg of tea at ₹49 per kg with 10 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 80-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?
  30. 30.Rice at ₹23 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  31. 31.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  32. 32.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 : 10?
  33. 33.A grocer mixes 6 kg of tea at ₹120 per kg with 6 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.Rice at ₹52 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  35. 35.Rice at ₹51 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  36. 36.Rice at ₹62 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 14 kg of the dearer rice?
  37. 37.A grocer mixes 2 kg of tea at ₹107 per kg with 2 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 4 kg of tea at ₹32 per kg with 10 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 12 kg of tea at ₹111 per kg with 5 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹20 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?

Answer key

  1. 24
  2. 9
  3. 12
  4. 36
  5. 54
  6. 12
  7. 27
  8. 5
  9. 50
  10. 10
  11. 18
  12. 3
  13. 6
  14. 60
  15. 35
  16. 5
  17. 16
  18. 18
  19. 1
  20. 63
  21. 8
  22. 6
  23. 75
  24. 39
  25. 24
  26. 25
  27. 10
  28. 39
  29. 40
  30. 5
  31. 40
  32. 12
  33. 75
  34. 8
  35. 25
  36. 35
  37. 70
  38. 77
  39. 86
  40. 1

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