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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 993 · 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 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?
  2. 2.A 10-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?
  3. 3.Rice at ₹40 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  4. 4.Rice at ₹80 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  5. 5.A grocer mixes 10 kg of tea at ₹24 per kg with 5 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.A grocer mixes 11 kg of tea at ₹20 per kg with 11 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A 25-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  9. 9.A grocer mixes 2 kg of tea at ₹53 per kg with 12 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 9 kg of tea at ₹41 per kg with 3 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.Rice at ₹66 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  14. 14.Rice at ₹37 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  15. 15.A grocer mixes 9 kg of tea at ₹54 per kg with 6 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.A grocer mixes 8 kg of tea at ₹61 per kg with 2 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 28-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?
  19. 19.Rice at ₹47 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.A 12-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  21. 21.Rice at ₹20 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  22. 22.Rice at ₹43 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.A grocer mixes 9 kg of tea at ₹22 per kg with 9 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 12 kg of tea at ₹66 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A jug has 50 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?
  26. 26.Rice at ₹59 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  27. 27.A grocer mixes 8 kg of tea at ₹75 per kg with 2 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 5 kg of tea at ₹109 per kg with 10 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  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.A grocer mixes 7 kg of tea at ₹94 per kg with 12 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.A grocer mixes 3 kg of tea at ₹50 per kg with 3 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹31 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  34. 34.A 25-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?
  35. 35.Rice at ₹26 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  36. 36.A 91-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?
  37. 37.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?
  38. 38.A 36-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?
  39. 39.A grocer mixes 4 kg of tea at ₹92 per kg with 4 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹70 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?

Answer key

  1. 70
  2. 6
  3. 18
  4. 8
  5. 28
  6. 3
  7. 34
  8. 5
  9. 83
  10. 58
  11. 30
  12. 70
  13. 8
  14. 40
  15. 50
  16. 60
  17. 67
  18. 4
  19. 18
  20. 8
  21. 6
  22. 10
  23. 52
  24. 69
  25. 50
  26. 18
  27. 82
  28. 103
  29. 40
  30. 70
  31. 55
  32. 70
  33. 8
  34. 10
  35. 8
  36. 7
  37. 50
  38. 9
  39. 57
  40. 1

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