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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 284 · 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 ₹99 per kg with 6 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹69 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹111 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  3. 3.A jug has 20 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?
  4. 4.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?
  5. 5.A grocer mixes 4 kg of tea at ₹55 per kg with 4 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 7 kg of tea at ₹56 per kg with 11 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹28 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  8. 8.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?
  9. 9.A 28-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  10. 10.A 90-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  11. 11.A 33-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 2 : 3?
  12. 12.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 : 4?
  13. 13.A 35-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 8?
  14. 14.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?
  15. 15.A grocer mixes 10 kg of tea at ₹101 per kg with 4 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 2 kg of tea at ₹104 per kg with 3 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 52-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 3 : 4?
  18. 18.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 9?
  19. 19.A 45-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 1 : 1?
  20. 20.A 55-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 6?
  21. 21.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 3 : 5?
  22. 22.A grocer mixes 9 kg of tea at ₹59 per kg with 3 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A jug has 40 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?
  24. 24.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?
  25. 25.Rice at ₹29 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  26. 26.A grocer mixes 3 kg of tea at ₹105 per kg with 3 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 12 kg of tea at ₹109 per kg with 4 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹56 per kg is mixed with rice at ₹101 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  29. 29.Rice at ₹52 per kg is mixed with rice at ₹66 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?
  30. 30.A 36-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  31. 31.A grocer mixes 10 kg of tea at ₹114 per kg with 3 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 12-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?
  33. 33.Rice at ₹37 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  34. 34.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?
  35. 35.A 88-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  36. 36.A grocer mixes 9 kg of tea at ₹89 per kg with 3 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  38. 38.Rice at ₹47 per kg is mixed with rice at ₹124 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  39. 39.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?
  40. 40.A 56-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 1 : 1?

Answer key

  1. 54
  2. 4
  3. 52
  4. 52
  5. 73
  6. 78
  7. 15
  8. 25
  9. 4
  10. 10
  11. 12
  12. 14
  13. 28
  14. 75
  15. 95
  16. 56
  17. 4
  18. 9
  19. 5
  20. 10
  21. 6
  22. 50
  23. 40
  24. 50
  25. 6
  26. 99
  27. 98
  28. 40
  29. 36
  30. 12
  31. 93
  32. 4
  33. 15
  34. 50
  35. 24
  36. 85
  37. 60
  38. 10
  39. 50
  40. 14

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