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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 542 · 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 11 kg of tea at ₹58 per kg with 2 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 10 kg of tea at ₹32 per kg with 8 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 3 kg of tea at ₹113 per kg with 9 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹59 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  5. 5.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?
  6. 6.A 81-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  7. 7.Rice at ₹56 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  8. 8.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?
  9. 9.Rice at ₹80 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  10. 10.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A grocer mixes 7 kg of tea at ₹31 per kg with 5 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹63 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  13. 13.A grocer mixes 2 kg of tea at ₹34 per kg with 2 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.A grocer mixes 9 kg of tea at ₹35 per kg with 3 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A jug has 25 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?
  17. 17.Rice at ₹78 per kg is mixed with rice at ₹106 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  18. 18.A jug has 10 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?
  19. 19.A 15-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  20. 20.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?
  21. 21.A jug has 20 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?
  22. 22.Rice at ₹57 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  23. 23.Rice at ₹26 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  24. 24.A grocer mixes 6 kg of tea at ₹77 per kg with 4 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹68 per kg is mixed with rice at ₹145 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  26. 26.A grocer mixes 6 kg of tea at ₹87 per kg with 3 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹39 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  28. 28.A 117-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  29. 29.A jug has 20 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?
  30. 30.Rice at ₹57 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  31. 31.Rice at ₹36 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 4 kg of the dearer rice?
  32. 32.Rice at ₹70 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  33. 33.Rice at ₹70 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  34. 34.A jug has 20 litres of a drink that is 40% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.Rice at ₹35 per kg is mixed with rice at ₹59 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  36. 36.Rice at ₹64 per kg is mixed with rice at ₹136 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  37. 37.A 40-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?
  38. 38.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?
  39. 39.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?
  40. 40.A 80-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 5?

Answer key

  1. 66
  2. 36
  3. 47
  4. 15
  5. 50
  6. 18
  7. 6
  8. 7
  9. 1
  10. 40
  11. 41
  12. 5
  13. 71
  14. 76
  15. 34
  16. 50
  17. 7
  18. 60
  19. 9
  20. 50
  21. 60
  22. 30
  23. 48
  24. 71
  25. 35
  26. 89
  27. 3
  28. 9
  29. 40
  30. 6
  31. 8
  32. 28
  33. 36
  34. 70
  35. 3
  36. 32
  37. 5
  38. 50
  39. 25
  40. 40

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