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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 95 · 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 5 kg of tea at ₹59 per kg with 5 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹75 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  3. 3.A grocer mixes 3 kg of tea at ₹35 per kg with 5 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 6 kg of tea at ₹32 per kg with 3 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 4 kg of tea at ₹42 per kg with 4 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.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 : 2?
  7. 7.Rice at ₹63 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  8. 8.A grocer mixes 2 kg of tea at ₹86 per kg with 8 kg of tea at ₹66 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.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?
  11. 11.Rice at ₹60 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  12. 12.A 10-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  13. 13.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?
  14. 14.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?
  15. 15.A grocer mixes 8 kg of tea at ₹21 per kg with 7 kg of tea at ₹111 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 3 kg of tea at ₹40 per kg with 9 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.Rice at ₹38 per kg is mixed with rice at ₹78 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?
  18. 18.Rice at ₹20 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹30 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  19. 19.A grocer mixes 3 kg of tea at ₹86 per kg with 9 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 3 kg of tea at ₹37 per kg with 3 kg of tea at ₹119 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 44-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  22. 22.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?
  23. 23.A 21-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  24. 24.A 99-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?
  25. 25.Rice at ₹76 per kg is mixed with rice at ₹132 per kg to make a mix worth ₹116 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  26. 26.A grocer mixes 4 kg of tea at ₹116 per kg with 8 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 1 : 3?
  28. 28.A 55-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?
  29. 29.Rice at ₹70 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  30. 30.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?
  31. 31.A 81-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?
  32. 32.Rice at ₹33 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  33. 33.Rice at ₹54 per kg is mixed with rice at ₹90 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  34. 34.Rice at ₹28 per kg is mixed with rice at ₹42 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  35. 35.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 6?
  36. 36.A grocer mixes 2 kg of tea at ₹32 per kg with 2 kg of tea at ₹76 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. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.A grocer mixes 4 kg of tea at ₹42 per kg with 2 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹37 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  40. 40.A grocer mixes 6 kg of tea at ₹112 per kg with 9 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 84
  2. 24
  3. 50
  4. 41
  5. 68
  6. 7
  7. 42
  8. 70
  9. 50
  10. 50
  11. 20
  12. 6
  13. 64
  14. 60
  15. 63
  16. 55
  17. 15
  18. 18
  19. 80
  20. 78
  21. 12
  22. 36
  23. 7
  24. 9
  25. 12
  26. 102
  27. 8
  28. 5
  29. 5
  30. 50
  31. 18
  32. 32
  33. 5
  34. 9
  35. 30
  36. 54
  37. 68
  38. 61
  39. 2
  40. 85

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