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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 93 · 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.Rice at ₹44 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  2. 2.Rice at ₹26 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  3. 3.Rice at ₹48 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  4. 4.A 35-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?
  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 : 5?
  6. 6.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?
  7. 7.A 33-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?
  8. 8.Rice at ₹25 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  9. 9.A 28-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 2?
  10. 10.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?
  11. 11.A 96-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  12. 12.A grocer mixes 8 kg of tea at ₹105 per kg with 12 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.Rice at ₹44 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  14. 14.Rice at ₹48 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  15. 15.A grocer mixes 4 kg of tea at ₹34 per kg with 10 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.A grocer mixes 10 kg of tea at ₹94 per kg with 6 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.Rice at ₹21 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  19. 19.Rice at ₹40 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.A jug has 40 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?
  21. 21.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?
  22. 22.Rice at ₹59 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  23. 23.Rice at ₹59 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  24. 24.Rice at ₹46 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  25. 25.Rice at ₹22 per kg is mixed with rice at ₹25 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  26. 26.Rice at ₹54 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  27. 27.A grocer mixes 3 kg of tea at ₹80 per kg with 9 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹21 per kg is mixed with rice at ₹26 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  29. 29.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?
  30. 30.A 72-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?
  31. 31.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?
  32. 32.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?
  33. 33.A 33-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  34. 34.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  35. 35.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?
  36. 36.A 36-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 36-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 5?
  38. 38.A grocer mixes 5 kg of tea at ₹115 per kg with 7 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.Rice at ₹53 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  40. 40.A grocer mixes 6 kg of tea at ₹92 per kg with 3 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 4
  2. 30
  3. 24
  4. 10
  5. 9
  6. 60
  7. 6
  8. 12
  9. 7
  10. 40
  11. 8
  12. 93
  13. 7
  14. 5
  15. 24
  16. 15
  17. 100
  18. 8
  19. 9
  20. 40
  21. 68
  22. 16
  23. 18
  24. 16
  25. 2
  26. 24
  27. 107
  28. 12
  29. 75
  30. 24
  31. 60
  32. 70
  33. 12
  34. 50
  35. 25
  36. 9
  37. 12
  38. 94
  39. 24
  40. 82

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