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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 736 · 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 2 kg of tea at ₹25 per kg with 4 kg of tea at ₹49 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A grocer mixes 7 kg of tea at ₹98 per kg with 4 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  3. 3.A 14-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 1 : 2?
  4. 4.A grocer mixes 3 kg of tea at ₹64 per kg with 4 kg of tea at ₹99 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 4 kg of tea at ₹116 per kg with 4 kg of tea at ₹68 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 7 kg of tea at ₹88 per kg with 7 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A jug has 50 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?
  8. 8.A grocer mixes 2 kg of tea at ₹38 per kg with 8 kg of tea at ₹28 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A grocer mixes 10 kg of tea at ₹24 per kg with 9 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹74 per kg is mixed with rice at ₹98 per kg to make a mix worth ₹92 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  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 ₹40 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  13. 13.Rice at ₹63 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  14. 14.A grocer mixes 11 kg of tea at ₹108 per kg with 11 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹33 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  16. 16.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?
  17. 17.Rice at ₹80 per kg is mixed with rice at ₹129 per kg to make a mix worth ₹94 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  18. 18.A 45-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 2 : 7?
  19. 19.Rice at ₹58 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  20. 20.A 16-litre mix has milk and water in the ratio 1 : 7. How many litres of water must be added to make the ratio 1 : 11?
  21. 21.A jug has 20 litres of a drink that is 40% mango juice. 4 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.A 99-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?
  23. 23.A 40-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  24. 24.A 36-litre mix has milk and water in the ratio 2 : 7. How many litres of water must be added to make the ratio 2 : 9?
  25. 25.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?
  26. 26.A 21-litre mix has milk and water in the ratio 1 : 6. How many litres of water must be added to make the ratio 1 : 8?
  27. 27.A grocer mixes 8 kg of tea at ₹22 per kg with 4 kg of tea at ₹76 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹36 per kg is mixed with rice at ₹78 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  29. 29.Rice at ₹65 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  30. 30.Rice at ₹61 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  31. 31.Rice at ₹24 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  32. 32.A grocer mixes 12 kg of tea at ₹40 per kg with 12 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  33. 33.A 81-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?
  34. 34.Rice at ₹59 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  35. 35.Rice at ₹24 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  36. 36.Rice at ₹25 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹31 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  37. 37.A grocer mixes 7 kg of tea at ₹30 per kg with 9 kg of tea at ₹62 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 4 kg of tea at ₹92 per kg with 12 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 9 kg of tea at ₹20 per kg with 6 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 5 kg of tea at ₹113 per kg with 5 kg of tea at ₹95 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 41
  2. 106
  3. 4
  4. 84
  5. 92
  6. 86
  7. 50
  8. 30
  9. 42
  10. 1
  11. 60
  12. 10
  13. 30
  14. 98
  15. 6
  16. 64
  17. 15
  18. 36
  19. 20
  20. 8
  21. 50
  22. 36
  23. 8
  24. 8
  25. 75
  26. 6
  27. 40
  28. 18
  29. 30
  30. 24
  31. 10
  32. 63
  33. 36
  34. 10
  35. 8
  36. 8
  37. 48
  38. 83
  39. 60
  40. 104

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