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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 631 · 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 77-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?
  2. 2.Rice at ₹71 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  3. 3.A 91-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  4. 4.Rice at ₹59 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  5. 5.A 24-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 2?
  6. 6.A 6-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?
  7. 7.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?
  8. 8.A grocer mixes 3 kg of tea at ₹59 per kg with 6 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A jug has 40 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?
  10. 10.A 20-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?
  11. 11.A 30-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 5?
  12. 12.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  13. 13.Rice at ₹27 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 6 kg of the dearer rice?
  14. 14.A 30-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  15. 15.A grocer mixes 12 kg of tea at ₹106 per kg with 8 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 9 kg of tea at ₹105 per kg with 5 kg of tea at ₹21 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 49-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  18. 18.Rice at ₹65 per kg is mixed with rice at ₹131 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  19. 19.Rice at ₹27 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹37 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.A 44-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 2 : 5?
  21. 21.A grocer mixes 9 kg of tea at ₹24 per kg with 10 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A jug has 20 litres of a drink that is 25% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A grocer mixes 3 kg of tea at ₹33 per kg with 3 kg of tea at ₹83 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A grocer mixes 6 kg of tea at ₹46 per kg with 8 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 25-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 2?
  26. 26.Rice at ₹67 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  27. 27.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?
  28. 28.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?
  29. 29.A grocer mixes 6 kg of tea at ₹99 per kg with 10 kg of tea at ₹51 per kg. What is the price of the mix per kg (in ₹)?
  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 ₹69 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  32. 32.A grocer mixes 3 kg of tea at ₹65 per kg with 3 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.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?
  34. 34.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.A grocer mixes 2 kg of tea at ₹20 per kg with 11 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 72-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 8?
  37. 37.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?
  38. 38.A grocer mixes 5 kg of tea at ₹61 per kg with 11 kg of tea at ₹77 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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?
  40. 40.Rice at ₹71 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹96 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?

Answer key

  1. 14
  2. 20
  3. 7
  4. 6
  5. 4
  6. 2
  7. 70
  8. 39
  9. 20
  10. 8
  11. 30
  12. 60
  13. 4
  14. 3
  15. 74
  16. 75
  17. 14
  18. 40
  19. 15
  20. 12
  21. 34
  22. 40
  23. 58
  24. 82
  25. 20
  26. 40
  27. 60
  28. 70
  29. 69
  30. 28
  31. 15
  32. 60
  33. 40
  34. 25
  35. 31
  36. 18
  37. 25
  38. 72
  39. 60
  40. 15

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