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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 630 · 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. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹22 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹28 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  3. 3.Rice at ₹44 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  4. 4.A 64-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?
  5. 5.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?
  6. 6.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  7. 7.Rice at ₹65 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 2 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.Rice at ₹45 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  10. 10.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?
  11. 11.A 50-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  12. 12.A 72-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?
  13. 13.Rice at ₹66 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  14. 14.Rice at ₹52 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  15. 15.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 : 8?
  16. 16.Rice at ₹47 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  17. 17.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?
  18. 18.Rice at ₹25 per kg is mixed with rice at ₹65 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  19. 19.A grocer mixes 8 kg of tea at ₹95 per kg with 4 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 9 kg of tea at ₹22 per kg with 3 kg of tea at ₹58 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 4 kg of tea at ₹62 per kg with 8 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A grocer mixes 3 kg of tea at ₹25 per kg with 4 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹26 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹34 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  24. 24.A jug has 10 litres of a drink that is 50% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  25. 25.A 21-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 1 : 4?
  26. 26.A grocer mixes 5 kg of tea at ₹44 per kg with 7 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.Rice at ₹80 per kg is mixed with rice at ₹120 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  28. 28.A grocer mixes 8 kg of tea at ₹68 per kg with 12 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 99-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 9?
  30. 30.Rice at ₹34 per kg is mixed with rice at ₹56 per kg to make a mix worth ₹46 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  31. 31.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?
  32. 32.A grocer mixes 5 kg of tea at ₹43 per kg with 3 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹26 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  34. 34.Rice at ₹23 per kg is mixed with rice at ₹45 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  35. 35.A 40-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?
  36. 36.A jug has 20 litres of a drink that is 10% mango juice. 16 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A grocer mixes 3 kg of tea at ₹41 per kg with 6 kg of tea at ₹35 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  39. 39.A grocer mixes 8 kg of tea at ₹74 per kg with 2 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 8 kg of tea at ₹49 per kg with 5 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 70
  2. 5
  3. 1
  4. 16
  5. 55
  6. 50
  7. 5
  8. 25
  9. 48
  10. 70
  11. 10
  12. 9
  13. 18
  14. 21
  15. 12
  16. 21
  17. 40
  18. 21
  19. 102
  20. 31
  21. 66
  22. 53
  23. 28
  24. 75
  25. 9
  26. 86
  27. 28
  28. 95
  29. 18
  30. 35
  31. 50
  32. 64
  33. 2
  34. 40
  35. 4
  36. 50
  37. 37
  38. 36
  39. 73
  40. 54

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