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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 941 · 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 ₹56 per kg with 11 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹36 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  3. 3.Rice at ₹66 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  4. 4.A grocer mixes 8 kg of tea at ₹42 per kg with 8 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 40-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?
  6. 6.Rice at ₹77 per kg is mixed with rice at ₹132 per kg to make a mix worth ₹102 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  7. 7.Rice at ₹29 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹45 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  8. 8.A grocer mixes 5 kg of tea at ₹26 per kg with 5 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 48-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?
  10. 10.Rice at ₹45 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  11. 11.A jug has 20 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.Rice at ₹26 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  13. 13.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?
  14. 14.Rice at ₹28 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  15. 15.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 : 2?
  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.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?
  18. 18.Rice at ₹37 per kg is mixed with rice at ₹41 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  19. 19.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.A grocer mixes 2 kg of tea at ₹85 per kg with 8 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A 24-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?
  23. 23.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?
  24. 24.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?
  25. 25.A grocer mixes 6 kg of tea at ₹94 per kg with 6 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 36-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  27. 27.A grocer mixes 6 kg of tea at ₹74 per kg with 3 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 2 kg of tea at ₹94 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 4 kg of tea at ₹43 per kg with 2 kg of tea at ₹61 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 15-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?
  31. 31.A grocer mixes 3 kg of tea at ₹88 per kg with 2 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 12 kg of tea at ₹91 per kg with 12 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹50 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  34. 34.Rice at ₹28 per kg is mixed with rice at ₹49 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?
  35. 35.A grocer mixes 2 kg of tea at ₹117 per kg with 6 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 16-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?
  37. 37.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.Rice at ₹28 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  39. 39.A grocer mixes 4 kg of tea at ₹30 per kg with 8 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?

Answer key

  1. 80
  2. 20
  3. 28
  4. 44
  5. 20
  6. 24
  7. 7
  8. 41
  9. 24
  10. 3
  11. 28
  12. 28
  13. 70
  14. 6
  15. 9
  16. 68
  17. 40
  18. 1
  19. 75
  20. 77
  21. 80
  22. 12
  23. 60
  24. 50
  25. 72
  26. 6
  27. 56
  28. 48
  29. 49
  30. 5
  31. 100
  32. 66
  33. 2
  34. 10
  35. 105
  36. 2
  37. 64
  38. 3
  39. 88
  40. 15

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