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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 991 · 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 jug has 20 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?
  2. 2.A 84-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  3. 3.A grocer mixes 4 kg of tea at ₹27 per kg with 6 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 20-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 5?
  5. 5.Rice at ₹65 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  6. 6.A jug has 10 litres of a drink that is 10% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A grocer mixes 3 kg of tea at ₹90 per kg with 4 kg of tea at ₹104 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹33 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  9. 9.A grocer mixes 4 kg of tea at ₹32 per kg with 4 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 3 kg of tea at ₹38 per kg with 12 kg of tea at ₹108 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 8 kg of tea at ₹54 per kg with 2 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.Rice at ₹34 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹52 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  14. 14.A grocer mixes 6 kg of tea at ₹100 per kg with 9 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 3 kg of tea at ₹78 per kg with 9 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.Rice at ₹56 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  18. 18.A grocer mixes 5 kg of tea at ₹114 per kg with 9 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.Rice at ₹24 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  20. 20.A grocer mixes 10 kg of tea at ₹101 per kg with 11 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A 42-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  22. 22.A grocer mixes 6 kg of tea at ₹70 per kg with 10 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A 27-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 6?
  24. 24.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?
  25. 25.A grocer mixes 2 kg of tea at ₹25 per kg with 3 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.A 65-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 8?
  27. 27.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?
  28. 28.Rice at ₹53 per kg is mixed with rice at ₹83 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  29. 29.Rice at ₹65 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 32 kg of the dearer rice?
  30. 30.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?
  31. 31.A grocer mixes 2 kg of tea at ₹120 per kg with 5 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹61 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  33. 33.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?
  34. 34.Rice at ₹75 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  35. 35.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.A 35-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  37. 37.A grocer mixes 2 kg of tea at ₹58 per kg with 4 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹62 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  39. 39.Rice at ₹21 per kg is mixed with rice at ₹33 per kg to make a mix worth ₹23 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  40. 40.Rice at ₹53 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?

Answer key

  1. 28
  2. 7
  3. 51
  4. 4
  5. 3
  6. 70
  7. 98
  8. 28
  9. 56
  10. 94
  11. 58
  12. 60
  13. 15
  14. 112
  15. 84
  16. 50
  17. 7
  18. 96
  19. 4
  20. 79
  21. 12
  22. 85
  23. 12
  24. 50
  25. 46
  26. 10
  27. 25
  28. 24
  29. 24
  30. 60
  31. 60
  32. 5
  33. 7
  34. 24
  35. 75
  36. 15
  37. 36
  38. 5
  39. 10
  40. 2

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