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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 11 · 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 ₹37 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  2. 2.Rice at ₹71 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  3. 3.A grocer mixes 6 kg of tea at ₹56 per kg with 12 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 24-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  5. 5.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?
  6. 6.A 99-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?
  7. 7.Rice at ₹36 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  8. 8.Rice at ₹30 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  9. 9.Rice at ₹51 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  10. 10.A grocer mixes 9 kg of tea at ₹75 per kg with 6 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 5 kg of tea at ₹96 per kg with 5 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 5 kg of tea at ₹86 per kg with 5 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 3 kg of tea at ₹104 per kg with 6 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A grocer mixes 2 kg of tea at ₹54 per kg with 11 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 11 kg of tea at ₹82 per kg with 5 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹35 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  17. 17.A 72-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?
  18. 18.Rice at ₹28 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  19. 19.Rice at ₹65 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  20. 20.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.Rice at ₹42 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  22. 22.A jug has 10 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?
  23. 23.A grocer mixes 6 kg of tea at ₹77 per kg with 10 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A jug has 10 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?
  25. 25.Rice at ₹52 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  26. 26.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  27. 27.A jug has 10 litres of a drink that is 20% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.Rice at ₹20 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹22 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.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?
  30. 30.A 60-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  31. 31.A 63-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  32. 32.A grocer mixes 6 kg of tea at ₹75 per kg with 3 kg of tea at ₹96 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A grocer mixes 10 kg of tea at ₹31 per kg with 10 kg of tea at ₹107 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.Rice at ₹33 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  36. 36.A 24-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?
  37. 37.A grocer mixes 9 kg of tea at ₹46 per kg with 12 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 108-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 9?
  39. 39.A 90-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 11?
  40. 40.A grocer mixes 4 kg of tea at ₹111 per kg with 8 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 20
  2. 2
  3. 64
  4. 8
  5. 25
  6. 9
  7. 7
  8. 24
  9. 6
  10. 61
  11. 103
  12. 73
  13. 102
  14. 43
  15. 87
  16. 16
  17. 16
  18. 3
  19. 5
  20. 60
  21. 3
  22. 40
  23. 67
  24. 80
  25. 2
  26. 4
  27. 60
  28. 18
  29. 50
  30. 5
  31. 21
  32. 82
  33. 69
  34. 50
  35. 21
  36. 16
  37. 42
  38. 18
  39. 40
  40. 87

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