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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 539 · 40 questions
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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.Rice at ₹48 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  2. 2.Rice at ₹32 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  3. 3.A 63-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  4. 4.Rice at ₹38 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  5. 5.A grocer mixes 8 kg of tea at ₹46 per kg with 9 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.A grocer mixes 3 kg of tea at ₹85 per kg with 9 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 40-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  9. 9.Rice at ₹43 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  10. 10.A grocer mixes 12 kg of tea at ₹57 per kg with 6 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 6 kg of tea at ₹35 per kg with 3 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹34 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  13. 13.A grocer mixes 4 kg of tea at ₹114 per kg with 4 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹69 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 35 kg of the dearer rice?
  15. 15.Rice at ₹25 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 32 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 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  18. 18.A 72-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  19. 19.A 16-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  20. 20.Rice at ₹57 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  21. 21.A grocer mixes 6 kg of tea at ₹25 per kg with 12 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹62 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.Rice at ₹75 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  24. 24.Rice at ₹37 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  25. 25.Rice at ₹66 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  26. 26.Rice at ₹34 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  27. 27.A 48-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  28. 28.Rice at ₹44 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  29. 29.Rice at ₹25 per kg is mixed with rice at ₹43 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  30. 30.Rice at ₹30 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  31. 31.A 35-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  32. 32.A 54-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 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?
  34. 34.A grocer mixes 12 kg of tea at ₹24 per kg with 12 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A 12-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?
  36. 36.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?
  37. 37.Rice at ₹45 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  38. 38.A 60-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  39. 39.A 56-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?
  40. 40.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 10?

Answer key

  1. 15
  2. 6
  3. 21
  4. 25
  5. 73
  6. 25
  7. 40
  8. 24
  9. 25
  10. 70
  11. 60
  12. 2
  13. 73
  14. 14
  15. 40
  16. 60
  17. 50
  18. 27
  19. 2
  20. 14
  21. 29
  22. 5
  23. 6
  24. 30
  25. 5
  26. 14
  27. 16
  28. 12
  29. 16
  30. 3
  31. 21
  32. 12
  33. 55
  34. 26
  35. 8
  36. 40
  37. 18
  38. 12
  39. 8
  40. 12

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