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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 594 · 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 6 kg of tea at ₹49 per kg with 6 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  2. 2.A 39-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 2 : 3?
  3. 3.A 48-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 7 : 6?
  4. 4.Rice at ₹65 per kg is mixed with rice at ₹107 per kg to make a mix worth ₹101 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  5. 5.Rice at ₹24 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  6. 6.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?
  7. 7.Rice at ₹50 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  8. 8.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?
  9. 9.A grocer mixes 5 kg of tea at ₹56 per kg with 2 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A grocer mixes 4 kg of tea at ₹116 per kg with 11 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  11. 11.A grocer mixes 8 kg of tea at ₹34 per kg with 12 kg of tea at ₹24 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.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?
  13. 13.A grocer mixes 3 kg of tea at ₹83 per kg with 3 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹54 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  15. 15.A jug has 10 litres of a drink that is 50% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  16. 16.A 6-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 5?
  17. 17.Rice at ₹57 per kg is mixed with rice at ₹93 per kg to make a mix worth ₹63 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  18. 18.Rice at ₹26 per kg is mixed with rice at ₹46 per kg to make a mix worth ₹38 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  19. 19.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 1 : 3?
  20. 20.Rice at ₹76 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  21. 21.Rice at ₹66 per kg is mixed with rice at ₹102 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  22. 22.A grocer mixes 3 kg of tea at ₹76 per kg with 3 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹80 per kg is mixed with rice at ₹115 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  24. 24.A 24-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 1?
  25. 25.Rice at ₹76 per kg is mixed with rice at ₹139 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  26. 26.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?
  27. 27.A grocer mixes 3 kg of tea at ₹20 per kg with 9 kg of tea at ₹44 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.Rice at ₹58 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹62 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  29. 29.A 56-litre mix has milk and water in the ratio 3 : 4. How many litres of water must be added to make the ratio 3 : 5?
  30. 30.A grocer mixes 6 kg of tea at ₹110 per kg with 9 kg of tea at ₹45 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.A 60-litre mix has milk and water in the ratio 1 : 5. How many litres of water must be added to make the ratio 1 : 7?
  33. 33.A jug has 10 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?
  34. 34.A grocer mixes 4 kg of tea at ₹114 per kg with 2 kg of tea at ₹39 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.A grocer mixes 5 kg of tea at ₹120 per kg with 4 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.A 72-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 4 : 7?
  37. 37.A 50-litre mix has milk and water in the ratio 2 : 3. How many litres of water must be added to make the ratio 1 : 2?
  38. 38.Rice at ₹31 per kg is mixed with rice at ₹40 per kg to make a mix worth ₹36 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  39. 39.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?
  40. 40.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 : 6?

Answer key

  1. 79
  2. 6
  3. 4
  4. 5
  5. 6
  6. 25
  7. 10
  8. 60
  9. 64
  10. 94
  11. 28
  12. 25
  13. 86
  14. 8
  15. 80
  16. 8
  17. 35
  18. 16
  19. 27
  20. 14
  21. 24
  22. 56
  23. 6
  24. 8
  25. 35
  26. 55
  27. 38
  28. 25
  29. 8
  30. 71
  31. 9
  32. 20
  33. 80
  34. 89
  35. 108
  36. 16
  37. 10
  38. 16
  39. 75
  40. 12

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