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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 38 · 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 ₹36 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  2. 2.Rice at ₹59 per kg is mixed with rice at ₹125 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  3. 3.Rice at ₹29 per kg is mixed with rice at ₹37 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  4. 4.A grocer mixes 6 kg of tea at ₹89 per kg with 6 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹21 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  6. 6.Rice at ₹61 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 8 kg of the dearer rice?
  7. 7.A grocer mixes 8 kg of tea at ₹119 per kg with 4 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 9 kg of tea at ₹55 per kg with 9 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.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 : 9?
  10. 10.A grocer mixes 6 kg of tea at ₹27 per kg with 12 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.A grocer mixes 4 kg of tea at ₹64 per kg with 4 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 72-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  14. 14.A jug has 10 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?
  15. 15.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?
  16. 16.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.Rice at ₹37 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  18. 18.A 20-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  19. 19.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  20. 20.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?
  21. 21.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?
  22. 22.Rice at ₹28 per kg is mixed with rice at ₹31 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  23. 23.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?
  24. 24.A grocer mixes 5 kg of tea at ₹79 per kg with 5 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹50 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  26. 26.Rice at ₹67 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹82 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  27. 27.Rice at ₹38 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  28. 28.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 3 : 1?
  29. 29.A grocer mixes 4 kg of tea at ₹35 per kg with 4 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  31. 31.Rice at ₹63 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  32. 32.Rice at ₹30 per kg is mixed with rice at ₹60 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?
  33. 33.Rice at ₹32 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  34. 34.A 24-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 2?
  35. 35.Rice at ₹74 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  36. 36.A grocer mixes 5 kg of tea at ₹103 per kg with 5 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.Rice at ₹58 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  39. 39.A 24-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  40. 40.A grocer mixes 8 kg of tea at ₹60 per kg with 12 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 8
  2. 42
  3. 7
  4. 90
  5. 4
  6. 16
  7. 102
  8. 49
  9. 12
  10. 81
  11. 20
  12. 87
  13. 36
  14. 70
  15. 25
  16. 25
  17. 20
  18. 12
  19. 20
  20. 40
  21. 8
  22. 2
  23. 50
  24. 69
  25. 1
  26. 1
  27. 10
  28. 3
  29. 61
  30. 30
  31. 16
  32. 12
  33. 9
  34. 3
  35. 24
  36. 85
  37. 18
  38. 2
  39. 3
  40. 39

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