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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 904 · 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 6 kg of tea at ₹32 per kg with 3 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 21-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?
  3. 3.A 130-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?
  4. 4.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?
  5. 5.A grocer mixes 10 kg of tea at ₹90 per kg with 10 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹76 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 9 kg of the dearer rice?
  7. 7.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  8. 8.Rice at ₹36 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  9. 9.Rice at ₹66 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  10. 10.Rice at ₹65 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  11. 11.A grocer mixes 2 kg of tea at ₹80 per kg with 10 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 2 kg of tea at ₹48 per kg with 2 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 10 kg of tea at ₹111 per kg with 10 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  15. 15.Rice at ₹55 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  16. 16.A 64-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?
  17. 17.A grocer mixes 11 kg of tea at ₹87 per kg with 11 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹63 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  19. 19.Rice at ₹80 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  20. 20.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A 64-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 10?
  22. 22.Rice at ₹53 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  23. 23.Rice at ₹77 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  24. 24.Rice at ₹24 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹27 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  25. 25.Rice at ₹61 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 6 kg of the dearer rice?
  26. 26.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.Rice at ₹78 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  28. 28.Rice at ₹42 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 2 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.Rice at ₹34 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 8 kg of the dearer rice?
  31. 31.A grocer mixes 4 kg of tea at ₹55 per kg with 4 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹41 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  33. 33.Rice at ₹32 per kg is mixed with rice at ₹47 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  34. 34.Rice at ₹52 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.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?
  36. 36.Rice at ₹79 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  37. 37.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A grocer mixes 6 kg of tea at ₹60 per kg with 6 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹24 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  40. 40.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 1 : 2?

Answer key

  1. 53
  2. 12
  3. 40
  4. 64
  5. 71
  6. 3
  7. 20
  8. 6
  9. 5
  10. 12
  11. 45
  12. 59
  13. 99
  14. 27
  15. 30
  16. 16
  17. 55
  18. 24
  19. 5
  20. 76
  21. 24
  22. 4
  23. 32
  24. 15
  25. 2
  26. 75
  27. 12
  28. 3
  29. 40
  30. 2
  31. 75
  32. 6
  33. 15
  34. 2
  35. 24
  36. 4
  37. 50
  38. 71
  39. 2
  40. 12

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