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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 492 · 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 ₹47 per kg is mixed with rice at ₹68 per kg to make a mix worth ₹59 per kg. How many kg of the cheaper rice must be mixed with 20 kg of the dearer rice?
  2. 2.Rice at ₹65 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹75 per kg. How many kg of the cheaper rice must be mixed with 5 kg of the dearer rice?
  3. 3.Rice at ₹58 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹64 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  4. 4.A 44-litre mix has milk and water in the ratio 7 : 4. How many litres of water must be added to make the ratio 7 : 8?
  5. 5.Rice at ₹44 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹65 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  6. 6.Rice at ₹46 per kg is mixed with rice at ₹61 per kg to make a mix worth ₹58 per kg. How many kg of the cheaper rice must be mixed with 32 kg of the dearer rice?
  7. 7.A 70-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 2 : 3?
  8. 8.A 35-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 1 : 1?
  9. 9.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?
  10. 10.Rice at ₹36 per kg is mixed with rice at ₹84 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  11. 11.A grocer mixes 11 kg of tea at ₹27 per kg with 11 kg of tea at ₹53 per kg. What is the price of the mix per kg (in ₹)?
  12. 12.A grocer mixes 7 kg of tea at ₹43 per kg with 7 kg of tea at ₹25 per kg. What is the price of the mix per kg (in ₹)?
  13. 13.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?
  14. 14.A grocer mixes 12 kg of tea at ₹56 per kg with 9 kg of tea at ₹84 per kg. What is the price of the mix per kg (in ₹)?
  15. 15.Rice at ₹46 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  16. 16.A 20-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?
  17. 17.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?
  18. 18.A 48-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 3?
  19. 19.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 1 : 1?
  20. 20.A grocer mixes 4 kg of tea at ₹85 per kg with 2 kg of tea at ₹82 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 6 kg of tea at ₹102 per kg with 10 kg of tea at ₹86 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.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?
  23. 23.Rice at ₹75 per kg is mixed with rice at ₹103 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  24. 24.Rice at ₹20 per kg is mixed with rice at ₹38 per kg to make a mix worth ₹26 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  25. 25.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?
  26. 26.A jug has 40 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?
  27. 27.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?
  28. 28.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?
  29. 29.A 35-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?
  30. 30.A grocer mixes 8 kg of tea at ₹107 per kg with 9 kg of tea at ₹22 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.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?
  32. 32.A 70-litre mix has milk and water in the ratio 2 : 5. How many litres of water must be added to make the ratio 2 : 9?
  33. 33.A jug has 40 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?
  34. 34.Rice at ₹49 per kg is mixed with rice at ₹63 per kg to make a mix worth ₹61 per kg. How many kg of the cheaper rice must be mixed with 6 kg of the dearer rice?
  35. 35.A grocer mixes 3 kg of tea at ₹70 per kg with 9 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.Rice at ₹29 per kg is mixed with rice at ₹39 per kg to make a mix worth ₹33 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  37. 37.Rice at ₹47 per kg is mixed with rice at ₹79 per kg to make a mix worth ₹71 per kg. How many kg of the cheaper rice must be mixed with 12 kg of the dearer rice?
  38. 38.Rice at ₹34 per kg is mixed with rice at ₹55 per kg to make a mix worth ₹48 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  39. 39.A jug has 40 litres of a drink that is 25% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  40. 40.Rice at ₹71 per kg is mixed with rice at ₹87 per kg to make a mix worth ₹77 per kg. How many kg of the cheaper rice must be mixed with 9 kg of the dearer rice?

Answer key

  1. 15
  2. 2
  3. 36
  4. 16
  5. 20
  6. 8
  7. 30
  8. 21
  9. 40
  10. 35
  11. 40
  12. 34
  13. 40
  14. 68
  15. 4
  16. 4
  17. 40
  18. 12
  19. 16
  20. 84
  21. 92
  22. 50
  23. 18
  24. 12
  25. 70
  26. 60
  27. 50
  28. 50
  29. 10
  30. 62
  31. 50
  32. 40
  33. 20
  34. 1
  35. 91
  36. 6
  37. 4
  38. 1
  39. 50
  40. 15

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