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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 628 · 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 6 kg of tea at ₹84 per kg with 4 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 70-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 2 : 1?
  3. 3.A grocer mixes 10 kg of tea at ₹27 per kg with 10 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 7 kg of tea at ₹115 per kg with 9 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A 48-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 7?
  6. 6.A grocer mixes 9 kg of tea at ₹101 per kg with 10 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹45 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  8. 8.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.Rice at ₹61 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  10. 10.A jug has 40 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?
  11. 11.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?
  12. 12.A grocer mixes 12 kg of tea at ₹103 per kg with 12 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A 20-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  14. 14.A grocer mixes 2 kg of tea at ₹27 per kg with 8 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A 36-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  16. 16.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?
  17. 17.A 70-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  18. 18.A grocer mixes 9 kg of tea at ₹45 per kg with 9 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 90-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 4?
  20. 20.A grocer mixes 12 kg of tea at ₹53 per kg with 11 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.A 21-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  23. 23.Rice at ₹49 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  24. 24.A 56-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 3 : 8?
  25. 25.A grocer mixes 6 kg of tea at ₹40 per kg with 12 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A grocer mixes 6 kg of tea at ₹28 per kg with 6 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A jug has 40 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?
  28. 28.Rice at ₹28 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  29. 29.A grocer mixes 3 kg of tea at ₹64 per kg with 6 kg of tea at ₹31 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 6 kg of tea at ₹117 per kg with 4 kg of tea at ₹37 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.Rice at ₹45 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  32. 32.A 56-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 9?
  33. 33.A grocer mixes 5 kg of tea at ₹76 per kg with 10 kg of tea at ₹100 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.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?
  35. 35.Rice at ₹60 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  36. 36.Rice at ₹60 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  37. 37.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?
  38. 38.A 20-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?
  39. 39.A grocer mixes 11 kg of tea at ₹114 per kg with 11 kg of tea at ₹38 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A 26-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?

Answer key

  1. 88
  2. 20
  3. 51
  4. 97
  5. 12
  6. 61
  7. 6
  8. 75
  9. 6
  10. 25
  11. 40
  12. 66
  13. 4
  14. 79
  15. 9
  16. 16
  17. 10
  18. 39
  19. 10
  20. 75
  21. 64
  22. 14
  23. 12
  24. 21
  25. 72
  26. 64
  27. 60
  28. 30
  29. 42
  30. 85
  31. 35
  32. 14
  33. 92
  34. 80
  35. 15
  36. 1
  37. 60
  38. 4
  39. 76
  40. 8

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