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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 760 · 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 4 kg of tea at ₹98 per kg with 2 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A jug has 25 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?
  3. 3.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  4. 4.A grocer mixes 7 kg of tea at ₹88 per kg with 7 kg of tea at ₹64 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 2 kg of tea at ₹20 per kg with 2 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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?
  7. 7.A grocer mixes 12 kg of tea at ₹106 per kg with 4 kg of tea at ₹102 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.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?
  9. 9.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  10. 10.A grocer mixes 4 kg of tea at ₹107 per kg with 8 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 6 kg of tea at ₹43 per kg with 3 kg of tea at ₹115 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.Rice at ₹79 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  13. 13.A 100-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 10?
  14. 14.A grocer mixes 6 kg of tea at ₹21 per kg with 2 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 56-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?
  16. 16.A 36-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?
  17. 17.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?
  18. 18.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?
  19. 19.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?
  20. 20.A grocer mixes 10 kg of tea at ₹33 per kg with 5 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 11 kg of tea at ₹87 per kg with 11 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.Rice at ₹79 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.A grocer mixes 6 kg of tea at ₹106 per kg with 6 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.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?
  25. 25.Rice at ₹65 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  26. 26.Rice at ₹29 per kg is mixed with rice at ₹34 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  27. 27.Rice at ₹70 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  28. 28.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 : 5?
  29. 29.A grocer mixes 4 kg of tea at ₹63 per kg with 9 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹41 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  31. 31.Rice at ₹32 per kg is mixed with rice at ₹50 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  32. 32.A 25-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  33. 33.A grocer mixes 6 kg of tea at ₹66 per kg with 3 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 48-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?
  35. 35.Rice at ₹80 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  36. 36.A 72-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?
  37. 37.Rice at ₹75 per kg is mixed with rice at ₹152 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  38. 38.A grocer mixes 12 kg of tea at ₹63 per kg with 12 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹79 per kg is mixed with rice at ₹128 per kg to make a mix worth ₹121 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  40. 40.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?

Answer key

  1. 76
  2. 50
  3. 8
  4. 76
  5. 53
  6. 64
  7. 105
  8. 60
  9. 9
  10. 93
  11. 67
  12. 6
  13. 30
  14. 43
  15. 28
  16. 4
  17. 40
  18. 50
  19. 60
  20. 39
  21. 93
  22. 6
  23. 64
  24. 80
  25. 6
  26. 20
  27. 16
  28. 8
  29. 72
  30. 4
  31. 10
  32. 10
  33. 54
  34. 16
  35. 2
  36. 6
  37. 18
  38. 46
  39. 8
  40. 80

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