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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 718 · 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 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?
  2. 2.Rice at ₹55 per kg is mixed with rice at ₹132 per kg to make a mix worth ₹97 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  3. 3.A grocer mixes 9 kg of tea at ₹118 per kg with 12 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 12 kg of tea at ₹119 per kg with 4 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 3 kg of tea at ₹116 per kg with 4 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.Rice at ₹29 per kg is mixed with rice at ₹32 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  7. 7.A 8-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?
  8. 8.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?
  9. 9.Rice at ₹42 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  10. 10.Rice at ₹58 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  11. 11.A jug has 20 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 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?
  13. 13.A 77-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?
  14. 14.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?
  15. 15.Rice at ₹35 per kg is mixed with rice at ₹91 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  16. 16.A jug has 10 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?
  17. 17.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 7 : 8?
  18. 18.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?
  19. 19.A 35-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?
  20. 20.A grocer mixes 4 kg of tea at ₹46 per kg with 2 kg of tea at ₹118 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹34 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  22. 22.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?
  23. 23.A 72-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  24. 24.A grocer mixes 4 kg of tea at ₹22 per kg with 12 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 54-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  26. 26.Rice at ₹32 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  27. 27.Rice at ₹58 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  28. 28.A grocer mixes 4 kg of tea at ₹58 per kg with 11 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 36-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?
  30. 30.A grocer mixes 6 kg of tea at ₹29 per kg with 3 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹69 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  32. 32.Rice at ₹60 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  33. 33.A 88-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  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.Rice at ₹54 per kg is mixed with rice at ₹109 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  36. 36.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?
  37. 37.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?
  38. 38.A grocer mixes 3 kg of tea at ₹36 per kg with 3 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 8 kg of tea at ₹44 per kg with 10 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 2 kg of tea at ₹46 per kg with 8 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 40
  2. 30
  3. 70
  4. 96
  5. 76
  6. 7
  7. 6
  8. 60
  9. 25
  10. 7
  11. 60
  12. 40
  13. 7
  14. 20
  15. 21
  16. 60
  17. 12
  18. 40
  19. 5
  20. 70
  21. 36
  22. 60
  23. 16
  24. 31
  25. 18
  26. 4
  27. 24
  28. 80
  29. 12
  30. 44
  31. 18
  32. 2
  33. 16
  34. 50
  35. 36
  36. 40
  37. 68
  38. 51
  39. 74
  40. 54

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