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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 68 · 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 grocer mixes 4 kg of tea at ₹78 per kg with 4 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.Rice at ₹20 per kg is mixed with rice at ₹44 per kg to make a mix worth ₹24 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  3. 3.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?
  4. 4.A jug has 40 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?
  5. 5.Rice at ₹42 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  6. 6.Rice at ₹69 per kg is mixed with rice at ₹114 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  7. 7.A 8-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 5?
  8. 8.A 120-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 11?
  9. 9.Rice at ₹63 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  10. 10.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?
  11. 11.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?
  12. 12.Rice at ₹38 per kg is mixed with rice at ₹94 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  13. 13.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?
  14. 14.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?
  15. 15.A 24-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?
  16. 16.A 35-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.Rice at ₹64 per kg is mixed with rice at ₹92 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  18. 18.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?
  19. 19.A grocer mixes 12 kg of tea at ₹74 per kg with 6 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.Rice at ₹78 per kg is mixed with rice at ₹105 per kg to make a mix worth ₹90 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  21. 21.A jug has 10 litres of a drink that is 40% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A grocer mixes 5 kg of tea at ₹115 per kg with 10 kg of tea at ₹67 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.A grocer mixes 4 kg of tea at ₹28 per kg with 12 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.Rice at ₹62 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  25. 25.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?
  26. 26.A 32-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  27. 27.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?
  28. 28.A grocer mixes 7 kg of tea at ₹102 per kg with 8 kg of tea at ₹27 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A grocer mixes 9 kg of tea at ₹67 per kg with 9 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.A grocer mixes 4 kg of tea at ₹62 per kg with 10 kg of tea at ₹48 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A grocer mixes 11 kg of tea at ₹40 per kg with 5 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.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?
  33. 33.A 26-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?
  34. 34.Rice at ₹55 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  35. 35.A grocer mixes 4 kg of tea at ₹29 per kg with 6 kg of tea at ₹94 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹28 per kg is mixed with rice at ₹53 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  37. 37.A grocer mixes 2 kg of tea at ₹85 per kg with 6 kg of tea at ₹65 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.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?
  39. 39.Rice at ₹78 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  40. 40.A 90-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 8?

Answer key

  1. 81
  2. 40
  3. 70
  4. 60
  5. 3
  6. 20
  7. 4
  8. 40
  9. 2
  10. 50
  11. 60
  12. 14
  13. 52
  14. 40
  15. 8
  16. 14
  17. 7
  18. 55
  19. 68
  20. 20
  21. 70
  22. 83
  23. 52
  24. 14
  25. 50
  26. 24
  27. 60
  28. 62
  29. 54
  30. 52
  31. 55
  32. 40
  33. 2
  34. 10
  35. 68
  36. 3
  37. 70
  38. 28
  39. 10
  40. 40

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