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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 183 · 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 10 litres of a drink that is 50% mango juice. 10 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 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  3. 3.A grocer mixes 12 kg of tea at ₹75 per kg with 12 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.Rice at ₹48 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  5. 5.A grocer mixes 6 kg of tea at ₹104 per kg with 12 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹71 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  7. 7.A 66-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 8?
  8. 8.Rice at ₹68 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  9. 9.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?
  10. 10.Rice at ₹31 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  11. 11.Rice at ₹57 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 20 kg of the dearer rice?
  12. 12.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?
  13. 13.A grocer mixes 3 kg of tea at ₹104 per kg with 6 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 6?
  16. 16.Rice at ₹67 per kg is mixed with rice at ₹133 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  17. 17.A 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  18. 18.A grocer mixes 4 kg of tea at ₹38 per kg with 2 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  21. 21.A jug has 40 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?
  22. 22.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?
  23. 23.Rice at ₹41 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  24. 24.A grocer mixes 2 kg of tea at ₹26 per kg with 4 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 32-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 4?
  26. 26.Rice at ₹71 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  27. 27.A grocer mixes 10 kg of tea at ₹93 per kg with 11 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹40 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  29. 29.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?
  30. 30.A grocer mixes 8 kg of tea at ₹94 per kg with 12 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 50-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  32. 32.A grocer mixes 4 kg of tea at ₹94 per kg with 6 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  34. 34.A grocer mixes 2 kg of tea at ₹99 per kg with 3 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 3 kg of tea at ₹88 per kg with 5 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹29 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  37. 37.A grocer mixes 2 kg of tea at ₹98 per kg with 2 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.A 49-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?
  40. 40.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?

Answer key

  1. 75
  2. 4
  3. 51
  4. 3
  5. 90
  6. 6
  7. 12
  8. 15
  9. 75
  10. 40
  11. 4
  12. 60
  13. 54
  14. 80
  15. 9
  16. 18
  17. 12
  18. 63
  19. 76
  20. 36
  21. 36
  22. 28
  23. 18
  24. 86
  25. 4
  26. 10
  27. 82
  28. 3
  29. 60
  30. 67
  31. 10
  32. 88
  33. 75
  34. 96
  35. 68
  36. 25
  37. 104
  38. 28
  39. 7
  40. 40

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