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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 503 · 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.Rice at ₹78 per kg is mixed with rice at ₹118 per kg to make a mix worth ₹110 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  2. 2.Rice at ₹56 per kg is mixed with rice at ₹122 per kg to make a mix worth ₹86 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  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.A 35-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?
  5. 5.A 70-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?
  6. 6.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?
  7. 7.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?
  8. 8.A grocer mixes 11 kg of tea at ₹36 per kg with 11 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  9. 9.A jug has 20 litres of a drink that is 20% mango juice. 12 litres of pure mango juice are added. What percent of the drink is mango juice now?
  10. 10.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?
  11. 11.A 36-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  12. 12.Rice at ₹59 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  13. 13.A grocer mixes 8 kg of tea at ₹31 per kg with 4 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  14. 14.Rice at ₹45 per kg is mixed with rice at ₹85 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  15. 15.A grocer mixes 5 kg of tea at ₹29 per kg with 10 kg of tea at ₹80 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.A 117-litre mix has milk and water in the ratio 6 : 7. How many litres of water must be added to make the ratio 6 : 11?
  18. 18.Rice at ₹60 per kg is mixed with rice at ₹67 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  19. 19.A grocer mixes 10 kg of tea at ₹84 per kg with 10 kg of tea at ₹50 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.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 1 : 2?
  21. 21.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 4?
  22. 22.A grocer mixes 2 kg of tea at ₹48 per kg with 9 kg of tea at ₹59 per kg. What is the price of the mix per kg (in ₹)?
  23. 23.Rice at ₹33 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹53 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  24. 24.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?
  25. 25.Rice at ₹44 per kg is mixed with rice at ₹86 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?
  26. 26.A 28-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 7?
  27. 27.A jug has 25 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?
  28. 28.A grocer mixes 8 kg of tea at ₹21 per kg with 4 kg of tea at ₹36 per kg. What is the price of the mix per kg (in ₹)?
  29. 29.A 18-litre mix has milk and water in the ratio 7 : 2. How many litres of water must be added to make the ratio 7 : 4?
  30. 30.A grocer mixes 4 kg of tea at ₹103 per kg with 7 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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 1 : 5?
  32. 32.Rice at ₹54 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹69 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  33. 33.A jug has 40 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?
  34. 34.A jug has 40 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?
  35. 35.Rice at ₹34 per kg is mixed with rice at ₹76 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  36. 36.A grocer mixes 12 kg of tea at ₹75 per kg with 8 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  37. 37.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?
  38. 38.A grocer mixes 6 kg of tea at ₹22 per kg with 3 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A grocer mixes 3 kg of tea at ₹79 per kg with 6 kg of tea at ₹88 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 2 kg of tea at ₹50 per kg with 5 kg of tea at ₹43 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 2
  2. 24
  3. 25
  4. 21
  5. 10
  6. 28
  7. 25
  8. 62
  9. 50
  10. 80
  11. 12
  12. 4
  13. 48
  14. 2
  15. 63
  16. 60
  17. 36
  18. 9
  19. 67
  20. 18
  21. 12
  22. 57
  23. 6
  24. 40
  25. 5
  26. 8
  27. 50
  28. 26
  29. 4
  30. 54
  31. 12
  32. 32
  33. 28
  34. 52
  35. 21
  36. 69
  37. 80
  38. 50
  39. 85
  40. 45

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