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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 832 · 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 jug has 10 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?
  2. 2.Rice at ₹38 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  3. 3.A grocer mixes 5 kg of tea at ₹105 per kg with 2 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  4. 4.A 96-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 1 : 2?
  5. 5.A jug has 20 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?
  6. 6.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.A 24-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 9?
  8. 8.A jug has 10 litres of a drink that is 10% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  9. 9.Rice at ₹67 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  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 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?
  12. 12.Rice at ₹36 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  13. 13.Rice at ₹39 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹51 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  14. 14.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 2 : 3?
  15. 15.Rice at ₹28 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  16. 16.A 30-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 5?
  17. 17.A 40-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 8?
  18. 18.A grocer mixes 2 kg of tea at ₹22 per kg with 3 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 10 kg of tea at ₹102 per kg with 2 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 10 kg of tea at ₹104 per kg with 5 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.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?
  22. 22.A grocer mixes 12 kg of tea at ₹90 per kg with 8 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 2 kg of tea at ₹26 per kg with 2 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A jug has 20 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?
  25. 25.A grocer mixes 12 kg of tea at ₹44 per kg with 12 kg of tea at ₹92 per kg. What is the price of the mix per kg (in ₹)?
  26. 26.Rice at ₹51 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  27. 27.A grocer mixes 9 kg of tea at ₹56 per kg with 9 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A grocer mixes 4 kg of tea at ₹51 per kg with 4 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 48-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  30. 30.A grocer mixes 3 kg of tea at ₹74 per kg with 6 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.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?
  33. 33.A 117-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?
  34. 34.A grocer mixes 10 kg of tea at ₹39 per kg with 12 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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?
  36. 36.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 2 : 11?
  37. 37.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?
  38. 38.A grocer mixes 8 kg of tea at ₹96 per kg with 3 kg of tea at ₹30 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A jug has 50 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?
  40. 40.A 30-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 4 : 5?

Answer key

  1. 55
  2. 3
  3. 91
  4. 24
  5. 40
  6. 50
  7. 16
  8. 64
  9. 12
  10. 40
  11. 40
  12. 20
  13. 7
  14. 40
  15. 35
  16. 12
  17. 5
  18. 58
  19. 89
  20. 81
  21. 60
  22. 98
  23. 54
  24. 55
  25. 68
  26. 4
  27. 75
  28. 66
  29. 18
  30. 90
  31. 52
  32. 40
  33. 9
  34. 81
  35. 60
  36. 32
  37. 50
  38. 78
  39. 25
  40. 24

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