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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 861 · 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 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?
  2. 2.A grocer mixes 10 kg of tea at ₹98 per kg with 5 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.Rice at ₹45 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  4. 4.A jug has 40 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?
  5. 5.Rice at ₹50 per kg is mixed with rice at ₹138 per kg to make a mix worth ₹98 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  6. 6.Rice at ₹30 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  7. 7.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?
  8. 8.A jug has 20 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?
  9. 9.Rice at ₹38 per kg is mixed with rice at ₹58 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?
  10. 10.A grocer mixes 3 kg of tea at ₹118 per kg with 6 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.Rice at ₹55 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  12. 12.Rice at ₹76 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 9 kg of the dearer rice?
  13. 13.Rice at ₹37 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 36 kg of the dearer rice?
  14. 14.A 40-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 1 : 1?
  15. 15.Rice at ₹80 per kg is mixed with rice at ₹134 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  16. 16.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?
  17. 17.Rice at ₹33 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  18. 18.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  19. 19.Rice at ₹58 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  20. 20.A grocer mixes 2 kg of tea at ₹56 per kg with 6 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹29 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  22. 22.A 33-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  23. 23.A grocer mixes 10 kg of tea at ₹20 per kg with 10 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A jug has 40 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?
  25. 25.A grocer mixes 6 kg of tea at ₹23 per kg with 4 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹28 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  27. 27.A jug has 40 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?
  28. 28.A 84-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?
  29. 29.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  30. 30.A grocer mixes 11 kg of tea at ₹55 per kg with 4 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  32. 32.A grocer mixes 8 kg of tea at ₹47 per kg with 8 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  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 5 kg of tea at ₹47 per kg with 9 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A grocer mixes 6 kg of tea at ₹21 per kg with 10 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 110-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 7?
  38. 38.A 40-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?
  39. 39.A grocer mixes 5 kg of tea at ₹50 per kg with 5 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹25 per kg is mixed with rice at ₹29 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?

Answer key

  1. 50
  2. 78
  3. 25
  4. 60
  5. 15
  6. 10
  7. 50
  8. 50
  9. 20
  10. 110
  11. 8
  12. 6
  13. 6
  14. 16
  15. 8
  16. 68
  17. 25
  18. 50
  19. 24
  20. 83
  21. 2
  22. 3
  23. 28
  24. 20
  25. 35
  26. 6
  27. 28
  28. 28
  29. 30
  30. 63
  31. 20
  32. 77
  33. 55
  34. 74
  35. 50
  36. 76
  37. 10
  38. 32
  39. 64
  40. 18

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