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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 433 · 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.

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  1. 1.A grocer mixes 4 kg of tea at ₹83 per kg with 9 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 49-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 1?
  3. 3.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 3 : 5?
  4. 4.Rice at ₹45 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  5. 5.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?
  6. 6.A 12-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?
  7. 7.A 42-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?
  8. 8.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?
  9. 9.A 70-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 4?
  10. 10.Rice at ₹37 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  11. 11.A 24-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 5?
  12. 12.Rice at ₹38 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  13. 13.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?
  14. 14.A 117-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?
  15. 15.A grocer mixes 6 kg of tea at ₹62 per kg with 8 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A grocer mixes 12 kg of tea at ₹49 per kg with 8 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A grocer mixes 3 kg of tea at ₹29 per kg with 8 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A grocer mixes 4 kg of tea at ₹118 per kg with 4 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A 55-litre mix has milk and water in the ratio 5 : 6. How many litres of water must be added to make the ratio 5 : 9?
  20. 20.Rice at ₹72 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  21. 21.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?
  22. 22.A jug has 10 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?
  23. 23.A grocer mixes 12 kg of tea at ₹102 per kg with 6 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A 18-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 1 : 5?
  25. 25.A 40-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 1 : 1?
  26. 26.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  27. 27.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?
  28. 28.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?
  29. 29.A grocer mixes 4 kg of tea at ₹90 per kg with 8 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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?
  31. 31.A grocer mixes 2 kg of tea at ₹42 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  33. 33.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?
  34. 34.A grocer mixes 10 kg of tea at ₹84 per kg with 8 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A jug has 20 litres of a drink that is 25% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  36. 36.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?
  37. 37.Rice at ₹67 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  38. 38.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?
  39. 39.A jug has 10 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.Rice at ₹67 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?

Answer key

  1. 74
  2. 7
  3. 15
  4. 3
  5. 3
  6. 12
  7. 12
  8. 75
  9. 20
  10. 12
  11. 24
  12. 4
  13. 60
  14. 18
  15. 66
  16. 45
  17. 77
  18. 112
  19. 15
  20. 3
  21. 60
  22. 80
  23. 78
  24. 6
  25. 20
  26. 76
  27. 12
  28. 40
  29. 52
  30. 70
  31. 41
  32. 20
  33. 25
  34. 80
  35. 50
  36. 25
  37. 35
  38. 70
  39. 68
  40. 2

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