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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 911 · 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 12 kg of tea at ₹74 per kg with 3 kg of tea at ₹69 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 22-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?
  3. 3.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?
  4. 4.Rice at ₹39 per kg is mixed with rice at ₹48 per kg to make a mix worth ₹43 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  5. 5.Rice at ₹35 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  6. 6.Rice at ₹34 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹41 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  7. 7.Rice at ₹74 per kg is mixed with rice at ₹137 per kg to make a mix worth ₹109 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  8. 8.Rice at ₹22 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  9. 9.Rice at ₹69 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  10. 10.A grocer mixes 10 kg of tea at ₹61 per kg with 10 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.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?
  12. 12.Rice at ₹30 per kg is mixed with rice at ₹60 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  13. 13.A jug has 20 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?
  14. 14.A jug has 20 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?
  15. 15.Rice at ₹53 per kg is mixed with rice at ₹57 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?
  16. 16.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?
  17. 17.A 40-litre mix has milk and water in the ratio 3 : 7. How many litres of water must be added to make the ratio 3 : 11?
  18. 18.Rice at ₹39 per kg is mixed with rice at ₹111 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  19. 19.A jug has 40 litres of a drink that is 40% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  20. 20.A 42-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  21. 21.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?
  22. 22.Rice at ₹31 per kg is mixed with rice at ₹71 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  23. 23.Rice at ₹63 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 16 kg of the dearer rice?
  24. 24.Rice at ₹40 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  25. 25.A 14-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 1 : 1?
  26. 26.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?
  27. 27.A 50-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 6?
  28. 28.A grocer mixes 3 kg of tea at ₹31 per kg with 4 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.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?
  30. 30.A 66-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 1 : 1?
  31. 31.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?
  32. 32.A 20-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 4?
  33. 33.A grocer mixes 12 kg of tea at ₹107 per kg with 6 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  34. 34.A 80-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?
  35. 35.A grocer mixes 5 kg of tea at ₹30 per kg with 10 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹26 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  37. 37.A grocer mixes 12 kg of tea at ₹30 per kg with 12 kg of tea at ₹46 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.Rice at ₹31 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  39. 39.A grocer mixes 2 kg of tea at ₹41 per kg with 7 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.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?

Answer key

  1. 73
  2. 6
  3. 25
  4. 10
  5. 3
  6. 20
  7. 24
  8. 6
  9. 32
  10. 47
  11. 9
  12. 6
  13. 28
  14. 60
  15. 24
  16. 55
  17. 16
  18. 16
  19. 50
  20. 18
  21. 36
  22. 7
  23. 12
  24. 36
  25. 6
  26. 70
  27. 20
  28. 55
  29. 25
  30. 18
  31. 50
  32. 5
  33. 90
  34. 10
  35. 50
  36. 5
  37. 38
  38. 4
  39. 62
  40. 70

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