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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 713 · 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 7 kg of tea at ₹112 per kg with 2 kg of tea at ₹85 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 49-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 3 : 2?
  3. 3.A 12-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?
  4. 4.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?
  5. 5.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?
  6. 6.A 90-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 3?
  7. 7.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?
  8. 8.Rice at ₹61 per kg is mixed with rice at ₹70 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  9. 9.A 63-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 8?
  10. 10.A 40-litre mix has milk and water in the ratio 1 : 3. How many litres of water must be added to make the ratio 1 : 7?
  11. 11.Rice at ₹78 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  12. 12.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?
  13. 13.A grocer mixes 2 kg of tea at ₹28 per kg with 3 kg of tea at ₹113 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹70 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹88 per kg. How many kg of the cheaper rice must be mixed with 36 kg of the dearer rice?
  15. 15.A 30-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?
  16. 16.A grocer mixes 2 kg of tea at ₹33 per kg with 7 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  17. 17.A 21-litre mix has milk and water in the ratio 6 : 1. How many litres of water must be added to make the ratio 6 : 5?
  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.Rice at ₹65 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  20. 20.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?
  21. 21.A jug has 20 litres of a drink that is 50% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.Rice at ₹40 per kg is mixed with rice at ₹96 per kg to make a mix worth ₹56 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  23. 23.A 25-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 3?
  24. 24.Rice at ₹50 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  25. 25.A 21-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 3?
  26. 26.Rice at ₹64 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  27. 27.A jug has 40 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?
  28. 28.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?
  29. 29.A grocer mixes 6 kg of tea at ₹96 per kg with 3 kg of tea at ₹57 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.Rice at ₹30 per kg is mixed with rice at ₹51 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  31. 31.A grocer mixes 6 kg of tea at ₹77 per kg with 5 kg of tea at ₹55 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A grocer mixes 2 kg of tea at ₹52 per kg with 8 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.Rice at ₹74 per kg is mixed with rice at ₹95 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  34. 34.Rice at ₹32 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  35. 35.A 63-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  36. 36.A grocer mixes 5 kg of tea at ₹38 per kg with 10 kg of tea at ₹110 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.A 35-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 7?
  38. 38.A grocer mixes 9 kg of tea at ₹25 per kg with 5 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 91-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 9?
  40. 40.A grocer mixes 6 kg of tea at ₹108 per kg with 9 kg of tea at ₹33 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 106
  2. 21
  3. 3
  4. 60
  5. 70
  6. 10
  7. 40
  8. 10
  9. 36
  10. 40
  11. 5
  12. 70
  13. 79
  14. 30
  15. 3
  16. 54
  17. 12
  18. 55
  19. 3
  20. 36
  21. 60
  22. 25
  23. 15
  24. 3
  25. 3
  26. 30
  27. 25
  28. 50
  29. 83
  30. 2
  31. 67
  32. 104
  33. 6
  34. 12
  35. 18
  36. 86
  37. 15
  38. 35
  39. 21
  40. 63

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