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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 746 · 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 10 kg of tea at ₹24 per kg with 4 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹58 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 6 kg of the dearer rice?
  3. 3.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?
  4. 4.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?
  5. 5.A grocer mixes 3 kg of tea at ₹46 per kg with 11 kg of tea at ₹32 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 10 kg of tea at ₹40 per kg with 10 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹63 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  8. 8.A grocer mixes 9 kg of tea at ₹115 per kg with 3 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.Rice at ₹28 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  10. 10.A 99-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  11. 11.A grocer mixes 2 kg of tea at ₹52 per kg with 3 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.A 27-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?
  14. 14.A jug has 40 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?
  15. 15.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?
  16. 16.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?
  17. 17.A grocer mixes 4 kg of tea at ₹26 per kg with 4 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 72-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 2?
  19. 19.Rice at ₹55 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  20. 20.Rice at ₹36 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  21. 21.Rice at ₹33 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  22. 22.A 12-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  23. 23.A grocer mixes 6 kg of tea at ₹81 per kg with 6 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 6 kg of tea at ₹98 per kg with 3 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 70-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 8?
  26. 26.A grocer mixes 8 kg of tea at ₹105 per kg with 6 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.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?
  28. 28.Rice at ₹58 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 8 kg of the dearer rice?
  29. 29.A 16-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  30. 30.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?
  31. 31.A grocer mixes 6 kg of tea at ₹120 per kg with 2 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹68 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  33. 33.A grocer mixes 2 kg of tea at ₹29 per kg with 6 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A grocer mixes 5 kg of tea at ₹88 per kg with 10 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.Rice at ₹80 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  36. 36.A 28-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  37. 37.A grocer mixes 2 kg of tea at ₹49 per kg with 8 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹50 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  39. 39.A jug has 20 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?
  40. 40.A grocer mixes 5 kg of tea at ₹38 per kg with 7 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 28
  2. 8
  3. 40
  4. 20
  5. 35
  6. 78
  7. 9
  8. 110
  9. 2
  10. 36
  11. 88
  12. 36
  13. 6
  14. 52
  15. 68
  16. 50
  17. 33
  18. 9
  19. 25
  20. 15
  21. 18
  22. 6
  23. 89
  24. 96
  25. 7
  26. 102
  27. 40
  28. 4
  29. 2
  30. 25
  31. 95
  32. 1
  33. 23
  34. 82
  35. 15
  36. 8
  37. 105
  38. 3
  39. 52
  40. 66

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