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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 71 · 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 100-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 5?
  2. 2.Rice at ₹79 per kg is mixed with rice at ₹104 per kg to make a mix worth ₹84 per kg. How many kg of the cheaper rice must be mixed with 3 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 grocer mixes 7 kg of tea at ₹20 per kg with 7 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.Rice at ₹56 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  6. 6.A grocer mixes 2 kg of tea at ₹53 per kg with 6 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.A grocer mixes 6 kg of tea at ₹111 per kg with 6 kg of tea at ₹75 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹57 per kg is mixed with rice at ₹113 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  9. 9.A grocer mixes 2 kg of tea at ₹37 per kg with 4 kg of tea at ₹91 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.Rice at ₹75 per kg is mixed with rice at ₹110 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  11. 11.A jug has 10 litres of a drink that is 10% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  12. 12.A 120-litre mix has milk and water in the ratio 7 : 5. How many litres of water must be added to make the ratio 1 : 1?
  13. 13.A 104-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 7 : 10?
  14. 14.A jug has 25 litres of a drink that is 20% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.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?
  16. 16.A 30-litre mix has milk and water in the ratio 5 : 1. How many litres of water must be added to make the ratio 5 : 4?
  17. 17.A 33-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 1 : 2?
  18. 18.Rice at ₹34 per kg is mixed with rice at ₹66 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  19. 19.A grocer mixes 8 kg of tea at ₹112 per kg with 8 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A jug has 20 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?
  21. 21.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?
  22. 22.Rice at ₹30 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹50 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  23. 23.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?
  24. 24.A grocer mixes 5 kg of tea at ₹23 per kg with 4 kg of tea at ₹41 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.A 14-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 1 : 1?
  26. 26.A grocer mixes 8 kg of tea at ₹74 per kg with 10 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  27. 27.A grocer mixes 12 kg of tea at ₹92 per kg with 4 kg of tea at ₹112 per kg. What is the price of the mix per kg (in ₹)?
  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 jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  30. 30.A jug has 10 litres of a drink that is 40% mango juice. 14 litres of pure mango juice are added. What percent of the drink is mango juice now?
  31. 31.A grocer mixes 2 kg of tea at ₹69 per kg with 8 kg of tea at ₹29 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.Rice at ₹51 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹91 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  33. 33.Rice at ₹36 per kg is mixed with rice at ₹54 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  34. 34.Rice at ₹50 per kg is mixed with rice at ₹57 per kg to make a mix worth ₹55 per kg. How many kg of the cheaper rice must be mixed with 25 kg of the dearer rice?
  35. 35.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?
  36. 36.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?
  37. 37.A grocer mixes 12 kg of tea at ₹101 per kg with 6 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A 21-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  39. 39.Rice at ₹53 per kg is mixed with rice at ₹77 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?
  40. 40.A 18-litre mix has milk and water in the ratio 4 : 5. How many litres of water must be added to make the ratio 1 : 2?

Answer key

  1. 20
  2. 12
  3. 70
  4. 50
  5. 4
  6. 32
  7. 93
  8. 36
  9. 73
  10. 15
  11. 25
  12. 20
  13. 32
  14. 50
  15. 40
  16. 15
  17. 3
  18. 3
  19. 67
  20. 50
  21. 60
  22. 3
  23. 70
  24. 31
  25. 2
  26. 49
  27. 97
  28. 50
  29. 60
  30. 75
  31. 37
  32. 20
  33. 40
  34. 10
  35. 40
  36. 25
  37. 76
  38. 28
  39. 15
  40. 6

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