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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 77 · 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 ₹73 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹80 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  2. 2.A grocer mixes 8 kg of tea at ₹82 per kg with 8 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A grocer mixes 5 kg of tea at ₹49 per kg with 5 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 3 kg of tea at ₹86 per kg with 3 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.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?
  6. 6.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?
  7. 7.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  8. 8.A 20-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?
  9. 9.A 18-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  10. 10.Rice at ₹32 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹47 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  11. 11.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?
  12. 12.A grocer mixes 12 kg of tea at ₹113 per kg with 12 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A grocer mixes 7 kg of tea at ₹116 per kg with 10 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.A 18-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?
  15. 15.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?
  16. 16.A grocer mixes 4 kg of tea at ₹85 per kg with 2 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  18. 18.A 33-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  19. 19.A 30-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  20. 20.A 24-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?
  21. 21.A jug has 40 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A jug has 40 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?
  23. 23.Rice at ₹58 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  24. 24.Rice at ₹50 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  25. 25.Rice at ₹46 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 5 kg of the dearer rice?
  26. 26.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?
  27. 27.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 : 4?
  28. 28.Rice at ₹65 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.A 72-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?
  30. 30.A grocer mixes 8 kg of tea at ₹37 per kg with 12 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹34 per kg is mixed with rice at ₹44 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?
  32. 32.A 90-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?
  33. 33.A jug has 20 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?
  34. 34.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.Rice at ₹68 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  38. 38.Rice at ₹56 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  39. 39.Rice at ₹28 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  40. 40.A grocer mixes 8 kg of tea at ₹90 per kg with 3 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 6
  2. 80
  3. 44
  4. 78
  5. 50
  6. 20
  7. 60
  8. 4
  9. 8
  10. 2
  11. 36
  12. 69
  13. 106
  14. 6
  15. 28
  16. 88
  17. 36
  18. 3
  19. 20
  20. 2
  21. 40
  22. 25
  23. 10
  24. 10
  25. 4
  26. 60
  27. 27
  28. 24
  29. 32
  30. 31
  31. 2
  32. 18
  33. 55
  34. 50
  35. 40
  36. 50
  37. 1
  38. 6
  39. 15
  40. 81

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