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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 19 · 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 ₹72 per kg is mixed with rice at ₹149 per kg to make a mix worth ₹107 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  2. 2.A 50-litre mix has milk and water in the ratio 1 : 4. How many litres of water must be added to make the ratio 1 : 7?
  3. 3.A 84-litre mix has milk and water in the ratio 5 : 7. How many litres of water must be added to make the ratio 5 : 8?
  4. 4.A grocer mixes 2 kg of tea at ₹72 per kg with 2 kg of tea at ₹40 per kg. What is the price of the mix per kg (in ₹)?
  5. 5.A grocer mixes 12 kg of tea at ₹63 per kg with 12 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  6. 6.A grocer mixes 2 kg of tea at ₹86 per kg with 2 kg of tea at ₹34 per kg. What is the price of the mix per kg (in ₹)?
  7. 7.Rice at ₹64 per kg is mixed with rice at ₹80 per kg to make a mix worth ₹68 per kg. How many kg of the cheaper rice must be mixed with 8 kg of the dearer rice?
  8. 8.Rice at ₹72 per kg is mixed with rice at ₹75 per kg to make a mix worth ₹74 per kg. How many kg of the cheaper rice must be mixed with 14 kg of the dearer rice?
  9. 9.A grocer mixes 8 kg of tea at ₹63 per kg with 8 kg of tea at ₹89 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.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?
  11. 11.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?
  12. 12.Rice at ₹57 per kg is mixed with rice at ₹123 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 40 kg of the dearer rice?
  13. 13.Rice at ₹58 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹93 per kg. How many kg of the cheaper rice must be mixed with 35 kg of the dearer rice?
  14. 14.A grocer mixes 10 kg of tea at ₹89 per kg with 12 kg of tea at ₹23 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.A grocer mixes 10 kg of tea at ₹75 per kg with 5 kg of tea at ₹93 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.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?
  17. 17.Rice at ₹68 per kg is mixed with rice at ₹134 per kg to make a mix worth ₹104 per kg. How many kg of the cheaper rice must be mixed with 48 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 : 5?
  19. 19.A 36-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?
  20. 20.Rice at ₹53 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹83 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  21. 21.A jug has 10 litres of a drink that is 40% mango juice. 15 litres of pure mango juice are added. What percent of the drink is mango juice now?
  22. 22.Rice at ₹48 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹57 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?
  23. 23.A grocer mixes 9 kg of tea at ₹104 per kg with 4 kg of tea at ₹117 per kg. What is the price of the mix per kg (in ₹)?
  24. 24.A jug has 10 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?
  25. 25.A 27-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  26. 26.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?
  27. 27.Rice at ₹38 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹44 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  28. 28.A 22-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  29. 29.A grocer mixes 12 kg of tea at ₹106 per kg with 12 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  30. 30.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 : 10?
  31. 31.A jug has 10 litres of a drink that is 40% mango juice. 2 litres of pure mango juice are added. What percent of the drink is mango juice now?
  32. 32.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?
  33. 33.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 2 : 5?
  34. 34.A grocer mixes 2 kg of tea at ₹79 per kg with 11 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  35. 35.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?
  36. 36.A 110-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 6 : 7?
  37. 37.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?
  38. 38.A grocer mixes 5 kg of tea at ₹78 per kg with 5 kg of tea at ₹116 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.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?
  40. 40.Rice at ₹78 per kg is mixed with rice at ₹82 per kg to make a mix worth ₹81 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?

Answer key

  1. 6
  2. 30
  3. 7
  4. 56
  5. 71
  6. 60
  7. 24
  8. 7
  9. 76
  10. 55
  11. 3
  12. 48
  13. 7
  14. 53
  15. 81
  16. 52
  17. 40
  18. 18
  19. 3
  20. 35
  21. 76
  22. 15
  23. 108
  24. 40
  25. 18
  26. 21
  27. 28
  28. 4
  29. 89
  30. 28
  31. 50
  32. 28
  33. 14
  34. 57
  35. 60
  36. 20
  37. 40
  38. 97
  39. 50
  40. 1

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