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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 532 · 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 2 kg of tea at ₹111 per kg with 4 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 81-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  3. 3.A 42-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  4. 4.A grocer mixes 2 kg of tea at ₹105 per kg with 12 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹52 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  6. 6.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?
  7. 7.Rice at ₹72 per kg is mixed with rice at ₹149 per kg to make a mix worth ₹114 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  8. 8.A 110-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  9. 9.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.Rice at ₹35 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  11. 11.A 27-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?
  12. 12.A 42-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?
  13. 13.A 35-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  14. 14.Rice at ₹28 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  15. 15.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?
  16. 16.Rice at ₹24 per kg is mixed with rice at ₹35 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  17. 17.Rice at ₹75 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  18. 18.A 35-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  19. 19.Rice at ₹32 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  20. 20.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?
  21. 21.Rice at ₹30 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹40 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  22. 22.A grocer mixes 10 kg of tea at ₹86 per kg with 5 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹60 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  24. 24.A grocer mixes 12 kg of tea at ₹38 per kg with 12 kg of tea at ₹90 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 63-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  26. 26.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  27. 27.A jug has 20 litres of a drink that is 10% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  28. 28.Rice at ₹25 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  29. 29.A grocer mixes 2 kg of tea at ₹33 per kg with 6 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A 15-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?
  31. 31.A grocer mixes 3 kg of tea at ₹111 per kg with 9 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.Rice at ₹46 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  34. 34.A grocer mixes 8 kg of tea at ₹73 per kg with 12 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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?
  36. 36.Rice at ₹66 per kg is mixed with rice at ₹80 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?
  37. 37.Rice at ₹39 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  38. 38.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?
  39. 39.A grocer mixes 11 kg of tea at ₹56 per kg with 11 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.Rice at ₹79 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹99 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?

Answer key

  1. 69
  2. 18
  3. 12
  4. 33
  5. 8
  6. 52
  7. 15
  8. 40
  9. 76
  10. 32
  11. 12
  12. 6
  13. 10
  14. 10
  15. 36
  16. 25
  17. 28
  18. 15
  19. 30
  20. 80
  21. 6
  22. 76
  23. 30
  24. 64
  25. 18
  26. 20
  27. 25
  28. 16
  29. 90
  30. 5
  31. 117
  32. 40
  33. 10
  34. 43
  35. 36
  36. 15
  37. 10
  38. 25
  39. 67
  40. 36

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