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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 295 · 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 5 kg of tea at ₹71 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹43 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  3. 3.A grocer mixes 5 kg of tea at ₹27 per kg with 5 kg of tea at ₹103 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A grocer mixes 8 kg of tea at ₹43 per kg with 4 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 6 kg of tea at ₹59 per kg with 11 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 6 kg of tea at ₹52 per kg with 12 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 11 kg of tea at ₹26 per kg with 11 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.A grocer mixes 4 kg of tea at ₹76 per kg with 4 kg of tea at ₹78 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A 54-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?
  10. 10.A grocer mixes 9 kg of tea at ₹68 per kg with 9 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.A grocer mixes 9 kg of tea at ₹73 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.A jug has 20 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?
  14. 14.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 2 : 11?
  15. 15.A grocer mixes 7 kg of tea at ₹84 per kg with 2 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.Rice at ₹34 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  17. 17.A grocer mixes 9 kg of tea at ₹83 per kg with 2 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹52 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  19. 19.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.A grocer mixes 12 kg of tea at ₹25 per kg with 4 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.Rice at ₹29 per kg is mixed with rice at ₹117 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  22. 22.A 99-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  23. 23.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?
  24. 24.Rice at ₹22 per kg is mixed with rice at ₹28 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  25. 25.A 50-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  26. 26.A 45-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 3?
  27. 27.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?
  28. 28.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 1 : 1?
  29. 29.A 14-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?
  30. 30.A jug has 40 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.Rice at ₹67 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  32. 32.A grocer mixes 8 kg of tea at ₹27 per kg with 2 kg of tea at ₹52 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹70 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹95 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  34. 34.A 9-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?
  35. 35.A grocer mixes 12 kg of tea at ₹35 per kg with 10 kg of tea at ₹101 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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?
  37. 37.A grocer mixes 2 kg of tea at ₹52 per kg with 4 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹35 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  39. 39.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 3?
  40. 40.Rice at ₹74 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?

Answer key

  1. 83
  2. 2
  3. 65
  4. 48
  5. 92
  6. 68
  7. 37
  8. 77
  9. 18
  10. 48
  11. 50
  12. 67
  13. 70
  14. 40
  15. 72
  16. 4
  17. 73
  18. 8
  19. 50
  20. 46
  21. 42
  22. 18
  23. 60
  24. 4
  25. 10
  26. 18
  27. 14
  28. 7
  29. 4
  30. 28
  31. 24
  32. 32
  33. 12
  34. 3
  35. 65
  36. 60
  37. 48
  38. 3
  39. 3
  40. 8

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