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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 827 · 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 ₹57 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  2. 2.Rice at ₹50 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  3. 3.A 30-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  4. 4.A 84-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  5. 5.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?
  6. 6.A grocer mixes 3 kg of tea at ₹35 per kg with 5 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 7 kg of tea at ₹62 per kg with 7 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A jug has 25 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.A jug has 50 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?
  10. 10.A jug has 40 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?
  11. 11.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?
  12. 12.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 : 4?
  13. 13.A grocer mixes 10 kg of tea at ₹57 per kg with 10 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.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?
  15. 15.A jug has 40 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?
  16. 16.Rice at ₹25 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  17. 17.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  18. 18.A grocer mixes 11 kg of tea at ₹70 per kg with 11 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 54-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?
  20. 20.Rice at ₹23 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  21. 21.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 : 3?
  22. 22.A grocer mixes 9 kg of tea at ₹59 per kg with 3 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 2 kg of tea at ₹68 per kg with 2 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 45-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  25. 25.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?
  26. 26.Rice at ₹60 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  27. 27.Rice at ₹26 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  28. 28.A 42-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 3?
  29. 29.Rice at ₹46 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  30. 30.Rice at ₹49 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  31. 31.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  32. 32.A grocer mixes 9 kg of tea at ₹32 per kg with 9 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹27 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  34. 34.A grocer mixes 9 kg of tea at ₹112 per kg with 9 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹64 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  36. 36.A grocer mixes 5 kg of tea at ₹23 per kg with 5 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.Rice at ₹20 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  39. 39.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?
  40. 40.Rice at ₹60 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?

Answer key

  1. 1
  2. 3
  3. 6
  4. 7
  5. 60
  6. 60
  7. 50
  8. 50
  9. 25
  10. 40
  11. 70
  12. 4
  13. 46
  14. 36
  15. 60
  16. 4
  17. 2
  18. 82
  19. 18
  20. 7
  21. 2
  22. 68
  23. 46
  24. 36
  25. 40
  26. 2
  27. 2
  28. 14
  29. 18
  30. 4
  31. 8
  32. 72
  33. 30
  34. 98
  35. 20
  36. 68
  37. 50
  38. 16
  39. 60
  40. 12

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