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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 179 · 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 ₹75 per kg is mixed with rice at ₹89 per kg to make a mix worth ₹87 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  2. 2.Rice at ₹78 per kg is mixed with rice at ₹99 per kg to make a mix worth ₹85 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  3. 3.A 56-litre mix has milk and water in the ratio 3 : 5. How many litres of water must be added to make the ratio 1 : 3?
  4. 4.Rice at ₹32 per kg is mixed with rice at ₹36 per kg to make a mix worth ₹35 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  5. 5.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?
  6. 6.Rice at ₹37 per kg is mixed with rice at ₹58 per kg to make a mix worth ₹49 per kg. How many kg of the cheaper rice must be mixed with 28 kg of the dearer rice?
  7. 7.A jug has 40 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?
  8. 8.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?
  9. 9.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?
  10. 10.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?
  11. 11.A jug has 20 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?
  12. 12.A 9-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?
  13. 13.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?
  14. 14.Rice at ₹34 per kg is mixed with rice at ₹64 per kg to make a mix worth ₹39 per kg. How many kg of the cheaper rice must be mixed with 1 kg of the dearer rice?
  15. 15.A grocer mixes 5 kg of tea at ₹66 per kg with 5 kg of tea at ₹70 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A 21-litre mix has milk and water in the ratio 4 : 3. How many litres of water must be added to make the ratio 4 : 5?
  17. 17.A grocer mixes 9 kg of tea at ₹32 per kg with 9 kg of tea at ₹20 per kg. What is the price of the mix per kg (in ₹)?
  18. 18.A 52-litre mix has milk and water in the ratio 7 : 6. How many litres of water must be added to make the ratio 1 : 1?
  19. 19.Rice at ₹67 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 15 kg of the dearer rice?
  20. 20.Rice at ₹38 per kg is mixed with rice at ₹86 per kg to make a mix worth ₹78 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  21. 21.A 50-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?
  22. 22.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?
  23. 23.Rice at ₹51 per kg is mixed with rice at ₹69 per kg to make a mix worth ₹66 per kg. How many kg of the cheaper rice must be mixed with 10 kg of the dearer rice?
  24. 24.A grocer mixes 6 kg of tea at ₹79 per kg with 4 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  25. 25.Rice at ₹34 per kg is mixed with rice at ₹90 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?
  26. 26.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 2 : 3?
  27. 27.A 16-litre mix has milk and water in the ratio 3 : 1. How many litres of water must be added to make the ratio 3 : 4?
  28. 28.Rice at ₹30 per kg is mixed with rice at ₹74 per kg to make a mix worth ₹54 per kg. How many kg of the cheaper rice must be mixed with 42 kg of the dearer rice?
  29. 29.A 21-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 1 : 2?
  30. 30.Rice at ₹61 per kg is mixed with rice at ₹77 per kg to make a mix worth ₹73 per kg. How many kg of the cheaper rice must be mixed with 3 kg of the dearer rice?
  31. 31.A grocer mixes 8 kg of tea at ₹38 per kg with 2 kg of tea at ₹73 per kg. What is the price of the mix per kg (in ₹)?
  32. 32.A 9-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 3?
  33. 33.A 32-litre mix has milk and water in the ratio 7 : 1. How many litres of water must be added to make the ratio 7 : 4?
  34. 34.Rice at ₹72 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹76 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  35. 35.A grocer mixes 5 kg of tea at ₹55 per kg with 10 kg of tea at ₹97 per kg. What is the price of the mix per kg (in ₹)?
  36. 36.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 : 2?
  37. 37.Rice at ₹57 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  38. 38.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?
  39. 39.A grocer mixes 4 kg of tea at ₹89 per kg with 4 kg of tea at ₹109 per kg. What is the price of the mix per kg (in ₹)?
  40. 40.A grocer mixes 3 kg of tea at ₹40 per kg with 8 kg of tea at ₹106 per kg. What is the price of the mix per kg (in ₹)?

Answer key

  1. 8
  2. 6
  3. 28
  4. 5
  5. 50
  6. 21
  7. 40
  8. 60
  9. 50
  10. 75
  11. 55
  12. 12
  13. 76
  14. 5
  15. 68
  16. 6
  17. 26
  18. 4
  19. 10
  20. 2
  21. 10
  22. 25
  23. 2
  24. 77
  25. 24
  26. 8
  27. 12
  28. 35
  29. 21
  30. 1
  31. 45
  32. 3
  33. 12
  34. 42
  35. 83
  36. 24
  37. 18
  38. 40
  39. 99
  40. 88

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