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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 374 · 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.Rice at ₹66 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  2. 2.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?
  3. 3.A grocer mixes 2 kg of tea at ₹38 per kg with 10 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 63-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?
  5. 5.A grocer mixes 12 kg of tea at ₹66 per kg with 9 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 11 kg of tea at ₹105 per kg with 11 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 12 kg of tea at ₹31 per kg with 5 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 10 kg of tea at ₹28 per kg with 6 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 8 kg of tea at ₹31 per kg with 10 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.A grocer mixes 2 kg of tea at ₹110 per kg with 4 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹22 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  13. 13.Rice at ₹24 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  14. 14.Rice at ₹63 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  15. 15.Rice at ₹54 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  16. 16.A grocer mixes 4 kg of tea at ₹72 per kg with 9 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.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?
  18. 18.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?
  19. 19.A grocer mixes 6 kg of tea at ₹102 per kg with 12 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A 91-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?
  21. 21.A jug has 10 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?
  22. 22.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?
  23. 23.A 45-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  24. 24.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?
  25. 25.Rice at ₹30 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  26. 26.Rice at ₹72 per kg is mixed with rice at ₹127 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  27. 27.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.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?
  29. 29.A 36-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 9?
  30. 30.Rice at ₹68 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  31. 31.A grocer mixes 6 kg of tea at ₹60 per kg with 6 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A jug has 20 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  33. 33.A 49-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 7?
  34. 34.Rice at ₹21 per kg is mixed with rice at ₹77 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?
  35. 35.Rice at ₹38 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  36. 36.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?
  37. 37.Rice at ₹50 per kg is mixed with rice at ₹74 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?
  38. 38.A grocer mixes 7 kg of tea at ₹113 per kg with 7 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  40. 40.Rice at ₹38 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?

Answer key

  1. 7
  2. 50
  3. 88
  4. 14
  5. 78
  6. 77
  7. 36
  8. 34
  9. 71
  10. 21
  11. 70
  12. 2
  13. 35
  14. 5
  15. 16
  16. 36
  17. 75
  18. 50
  19. 60
  20. 14
  21. 68
  22. 25
  23. 18
  24. 60
  25. 2
  26. 48
  27. 50
  28. 50
  29. 12
  30. 3
  31. 56
  32. 52
  33. 28
  34. 4
  35. 1
  36. 40
  37. 1
  38. 94
  39. 6
  40. 35

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